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Ren-Cang Li

  • Professor, Mathematics

Education

    • 1998 MS in Matrix Computations
      Chinese Academy Of Sciences, 1998
    • 1995 PhD in Applied Mathematics
      Univ of Calif Berkeley, 1995
    • 1985 BS in Computational Mathematics
      Xiamen University, 1985

Appointments

    • Sept 2006 to Present Professor
      Mathematics ,University of Texas at Arlington (Arlington, TX,
    • Sept 1995 to May 2006 Assistant/Associate Professor
      Mathematics ,University of Kentucky (Lexington, KY,
    • Aug 1995 to Dec 1996 Householder Fellow in Scientific Computing
      Oak Ridge National Laboratory (Oak Ridge, TN, United States)

Memberships

    • 1993 to Present Society of Applied and Industrial Mathematics

Awards and Honors

    • Dec  2018 Distinguished Paper Award sponsored by International Consortium of Chinese Mathematicians
    • May  1999 NSF CAREER sponsored by NSF
    • May  1996 Friedman memorial prize in Applied Mathematics sponsored by University of California at Berkeley
    • Aug  1995 The 1995 Householder Fellow in Scientific Computing sponsored by Oak Ridge National Laboratory

Other Activities

      • Feb 2003
        (Idaho)
        HP

Publications

      Book 2018
      • Structure-Preserving Doubling Algorithms For Nonlinear Matrix Equations
        [Huang, Tsing-Ming, Li, Ren-Cang, Lin, Wen-Wei]. Philadelphia: "SIAM".

      Journal Article 2018
      • On an Eigenvector-Dependent Nonlinear Eigenvalue Problem
        [Cai, Yunfeng, Zhang, Lei-hong , Bai, Zhaojun, Li, Ren-Cang]. 39(3), 1360-1382 [.]

      Journal Article 2017
      • A Symmetric Structure-Preserving ΓQR Algorithm for Linear Response Eigenvalue Problems
        [Li, Ren-Cang, Li , Tiexiang , Lin, Wen-Wei ].(520), 191-214 [.]
      2017
      • Error Bounds For Approximate Deflating Subspaces For Linear Response Eigenvalue Problems
        [Wang, Wei-guo, Zhang, Lei-hong , Li, Ren-Cang]. 528, 273-289 [.]
      2017
      • Highly Accurate Doubling Algorithms for M-matrix Algebraic Riccati Equations
        [Li, Ren-Cang, Xue, Jungong ].(37), 733-767 [.]
      2017
      • On the Generalized Lanczos Trust-Region Method
        [Zhang, Lei-hong, Shen, Chungen, Li, Ren-Cang]. 27(3), 2110-2142 [.]
      2017
      • Optimal Parameters for Doubling Algorithms
        [Huang, Tsing-Ming, Li, Ren-Cang, Lin, Wen-Wei, Lu, Linzhang]. 50(4), 339-357 [.]

      Journal Article 2016
      • A Block Chebyshev-Davidson Method for Linear Response Eigenvalue Problems
        [Li, Ren-Cang, Teng, Zhongming , Zhou, Yunkai ]. 42(5), 1103-1128 [.]
      2016
      • A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems
        [Li, Ren-Cang, Lu, Linzhang , Wang, Teng , Kuo, Yueh-Cheng, Lin, Wen-Wei ]. 38(6), A3410-A3429 [.]
      2016
      • A New Two- Phase Structure-Preserving Doubling Algorithm for Critically Singular MMatrix Algebraic Riccati Equations
        [Li, Ren-Cang, Huang, Tsung-Ming , Huang, Wei-Qiang , Lin, Wen-Wei ].(23), 291-313 [.]
      2016
      • A Nonlinear QR Algorithm for Unstructurally Banded Nonlinear Eigenvalue Problems
        [Li, Ren-Cang, Garrett , C. Kristopher , Bai, Zhaojun ]. 43(1), 4:1-4:19 [.]
      2016
      • Linear Response Eigenvalue Problem Solved by Extended Locally Optimal Preconditioned Conjugate Gradient Methods
        [Li, Ren-Cang, Bai , Zhaojun , Lin, Wen-Wei ]. 59(8), 1443-1460 [.]
      2016
      • Locally optimal and heavy ball GMRES methods
        [Li, Ren-Cang]. 33(2), 471-499 [.]
      2016
      • Self-Corrective Iterations (SCI) for Generalized Diagonally Dominant Matrices
        [Li, Ren-Cang, Guan, Jinrui , Lu, Linzhang, Shao, Rongxia ].(302), 285-300 [.]

      Book Chapter 2015
      • Recent Progress in Linear Response Eigenvalue Problems
        [Bai, Zhaojun, Li, Ren-Cang]. 117, 287-304 [.] "Springer".

      Other 2015
      • Rayleigh Quotient Based Optimization Methods for Eigenvalue Problems
        [Li, Ren-Cang, Bai, Zhaojun , Gao, Weiguo , Su , Yangfeng ]. 19, 76-108 [.] "World Scientific".

      Journal Article 2015
      • A Krylov Subspace Method For Large Scale Second Order Cone Linear Complementarity Problem
        [Li, Ren-Cang, Zhang, Lei-Hong , Yang, Wei Hong , Shen, Chungen]. 37(4), A2046-A2075 [.]
      2015
      • A New Look at the Doubling Algorithm for a Structured Palindromic Quadratic Eigenvalue Problem
        [Li, Ren-Cang, Lu , Linzhang , Yuan, Fei ].(22), 393-409 [.]
      2015
      • Backward Perturbation Analysis and Residual-based Error Bounds For the Linear Response Eigenvalue Problem
        [Li, Ren-Cang]. 55(3), 869-896 [.]
      2015
      • Backward Perturbation Analysis and Residual-based Error Bounds For the Linear Response Eigenvalue Problem
        [Li, Ren-Cang, Zhang , Lei-Hong , Lin, Wen-Wei]. 55(3), 869-896 [.]
      2015
      • Cluster-robust accuracy bounds for Ritz subspaces
        [Li, Ren-Cang, Teng , Zhongming , Lu, Linzhang ].(44), 624-638 [.]
      2015
      • Convergence of the Block Lanczos Method For Eigenvalue Clusters
        [Li, Ren-Cang, Zhang, Lei-Hong ]. 131(1), 83-113 [.]
      2015
      • Maximization of the Sum of the Trace Ratio On the Stiefel Manifold, II: Computation
        [Li, Ren-Cang, Zhang, Lei-Hong ]. 58(7), 1549-1566 [.]
      2015
      • Monotonicity of Unitarily Invariant Norms
        [Li, Ren-Cang, Wang, Xuefeng ].(466), 254-266 [.]
      2015
      • Perturbation of Partitioned Linear Response Eigenvalue Problems
        [Li, Ren-Cang, Teng , Zhongmingand , Lu, Linzhang].(44), 624-638 [.]
      2015

      Conference Proceeding 2015
      Journal Article 2014
      • Extensions of Wielandt’s Min-max Principles for Positive Semi-Definite Pencils
        [Li, Ren-Cang, Liang, Xin ]. 62(8), 1032-1048 [.]
      2014
      • GIP Integrators for Matrix Riccati Differential Equations
        [Li, Ren-Cang, Garrett, Kris ].(241), 283-297 [.]
      2014
      • Maximization of the Sum of the Trace Ratio On the Stiefel Manifold, I: Theory
        [Li, Ren-Cang]. 57(12), 2495-2508 [.]
      2014
      • Minimization Principles and Computation for the Generalized Linear Response Eigenvalue Problem
        [Li, Ren-Cang, Bai, Zhaojun ].(54), 31-54 [.]
      2014
      • Rayleigh-Ritz Approximation for the Linear Response Eigenvalue Problem
        [Li, Ren-Cang, Zhang , Lei-Hong , Xue, Jungong ].(35), 765-782 [.]
      2014
      • Simultaneous similarity reductions for a pair of matrices to condensed forms,
        [Li, Ren-Cang, Ye, Qiang]. 2(2), 139-153 [.]

      Journal Article 2013
      • Convergence Analysis of Lanczos-type Methods for the Linear Response Eigenvalue Problem
        [Li, Ren-Cang, Teng, Zhongming ].(247), 17-33 [.]
      2013
      • Deflating Irreducible Singular MMatrix Algebraic Riccati Equations
        [Li, Ren-Cang, Wang , Wei-Guo , Wang, Wei-Chao ]. 3(3), 491-518 [.]
      2013
      • Minimization Principle for Linear Response Eigenvalue Problem, II: Computation
        [Li, Ren-Cang, Bai, Zhaojun]. 34(2), 392-416 [.]
      2013
      • Trace Minimization Principles for Positive Semi-Definite Pencils,
        [Li, Ren-Cang, Liang , Xin , Bai, Zhaojun ].(438), 3085-3106 [.]

      Journal Article 2012
      • A block variational procedure for the iterative diagonalization of non-Hermitian random-phase approximation matrices
        [Li, Ren-Cang, Rocca, Dario , Bai, Zhaojun , Galli, Giulia ].(136), 34-111 [.]
      2012
      • A Family of Anadromic Numerical Methods for Matrix Riccati Differential Equations
        [Li, Ren-Cang, Kahan, W. ]. 81(277), 233-265 [.]
      2012
      • Accurate Solutions of M-Matrix Algebraic Riccati Equations
        [Li, Ren-Cang, Xue, Jungong , Xu, Shu-fang ]. 120(4), 671-700 [.]
      2012
      • Accurate Solutions of M-Matrix Sylvester Equations
        [Li, Ren-Cang, Xue , Jungong , Xu, Shu-fang ]. 120(4), 671-700 [.]
      2012
      • Alternating-Directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations
        [Li, Ren-Cang, Wang , Wei-Guoand , Wang, Wei-Chao ]. 33(1), 170-194 [.]
      2012
      • An Interpolating Family of Means
        [Li, Ren-Cang, Bhatia, R. ]. 6(1), 15-31 [.]
      2012
      • Minimization Principle for Linear Response Eigenvalue Problem, I: Theory
        [Li, Ren-Cang, Bai, Zhaojun]. 33(4), 1074-1100 [.]
      2012
      • Perturbation of Multiple Eigenvalues of Hermitian Matrices
        [Li, Ren-Cang, Nakatsukasa, Yuji , Truhar, Ninoslav , Wang, Wei-guo ].(437), 202-213 [.]

      Journal Article 2011
      • Bounding the Spectrum of Large Hermitian Matrices
        [Li, Ren-Cang, Zhou, Yunkai ].(435), 480-493 [.]
      2011
      • Multiplicative Perturbation Analysis for QR Factorizations
        [Li, Ren-Cang, Chang, Xiao-Wen ]. 1(2), 301-306 [.]
      2011
      • Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem
        [Li, Ren-Cang, Nakatsukasa, Yuji , Truhar, Ninoslav, Xu, Shufang]. 32(2), 642-663 [.]
      2011
      • Stable Solutions of Linear Systems Involving Long Chain of Matrix Multiplications
        [Li, Ren-Cang, Bai, Zhaojun, Lee, Roger, Xu, Shu-fang ].(435), 659-673 [.]

      Journal Article 2010
      • Analysis of the solution of the Sylvester equation using Low Rank ADI with exact shifts
        [Li, Ren-Cang, Truhar, Ninoslav , Tomljanovic, Zoran ]. 59(3-4), 248-257 [.]
      2010
      • Sharpness in Rates of Convergence For Symmetric Lanczos Method
        [Li, Ren-Cang]. 79(269), 419-435 [.]
      2010
      • Structured Backward Error for Palindromic Polynomial Eigenvalue Problems,
        [Li, Ren-Cang, Lin , W.-W. , Wang, C.-S. ]. 116(1), 95-122 [.]

      Technical Report 2010 2010
      Instructor's Manual 2009
      • The Rate of Convergence of GMRES on a Tridiagonal Toeplitz Linear System
        [Li, Ren-Cang, Zhang, W.].(11), 267-293 [.]

      Journal Article 2009
      • Formally Certified Argument Reduction with a Fused-Multiply-Add
        [Li, Ren-Cang, Boldo , S. , Daumas, M. ]. 58(8), 1139-1145 [.]
      2009
      • On the ADI Method for Sylvester Equations
        [Li, Ren-Cang, Benner , P. , Truhar, N. ].(233), 1035-1045 [.]
      2009
      • The Rate of Convergence of GMRES on a Tridiagonal Toeplitz Linear System, II
        [Li, Ren-Cang, Zhang, W. ]. 431 [.]
        2425-2436

      Other 2008
      • A Unified Krylov Projection Framework for Structure- Preserving Model Reduction
        [Li, Ren-Cang, Bai , Z. , Su, Y., Schilders, W. H. A. , van der Vorst, H. A. , Rommes , J. ]. 13, 75-93 [.]

      Journal Article 2008
      • Hard Cases For Conjugate Gradient Method
        [Li, Ren-Cang]. 4(1), 15-29 [.]
      2008
      • On Meinardus’ Examples For the Conjugate Gradient Method
        [Li, Ren-Cang].(77), 335-352 [.]
      2008
      • Vandermonde Matrices with Chebyshev Nodes
        [Li, Ren-Cang].(428), 1803-1832 [.]

      Journal Article 2007
      • Analysis of An Alignment Algorithm for Nonlinear Dimensionality Reduction
        [Li, Ren-Cang, Ye, Qiang , Zha, Hongyuan].(47), 873-885 [.]
      2007
      • Backward Error of Polynomial Eigenproblems Solved by Linearization
        [Li, Ren-Cang, Higham , Nicholas J. , Tisseur, Franc¸oise ]. 29(4), 1218-1241 [.]
      2007
      • Convergence of CG and GMRES on a Tridiagonal Toeplitz Linear System
        [Li, Ren-Cang].(47), 577-599 [.]
      2007
      • Eigenvalues of An Alignment Matrix in Nonlinear Manifold Learning
        [Li, Ren-Cang]. 5(2), 313-329 [.]
      2007
      • Matrix Perturbation Theory
        [Li, Ren-Cang, Hogben, L. , Brualdi, R. , Greenbaum , A. , Mathias , R. ]. New York: "Chapman & Hall/CRC".

      Conference Proceeding 2006
      • Structure-Preserving Model Reduction, Proceedings of PARA’04
        [Li, Ren-Cang, Bai, Zhaojun , Dongarra, J. , Madsen, K. , Wa´sniewski , J. ].(3732), 323-332 [.] "Springer".

      Journal Article 2006
      • Asymptotically optimal lower bounds for the condition number of a real Vandermonde matrix
        [Li, Ren-Cang]. 28(3), 829-844 [.]
      2006
      • Krylov type subspace methods for matrix polynomials
        [Li, Ren-Cang, Hoffnung , L. , Ye, Q. ].(415), 52-81 [.]
      2006
      • Lower bounds for the condition number of a real confluent Vandermonde matrix
        [Li, Ren-Cang].(75), 1987-1995 [.]

      Journal Article 2005
      • A note on eigenvalues of perturbed Hermitian matrices
        [Li, Ren-Cang, Li, Chi-Kwong ].(395), 183-190 [.]
      2005
      • Relative perturbation bounds for positive polar factors of graded matrices
        [Li, Ren-Cang].(27), 424-433 [.]
      2005
      • Structure-preserving model reduction using a Krylov subspace projection formulation
        [Li, Ren-Cang, Bai, Z. ]. 3(2), 179-199 [.]

      Technical Report 2005
      • Sharpness in Rates of Convergence For CG and Symmetric Lanczos Methods
        [Li, Ren-Cang].

      Journal Article 2004
      • Accuracy of computed eigenvectors via optimizing a Rayleigh quotient
        [Li, Ren-Cang]. 44(3), 585-593 [.]
      2004
      • Near optimality of Chebyshev interpolation for elementary function computations
        [Li, Ren-Cang].(53), 678-687 [.]
      2004
      • The ABC conjecture and correctly rounded reciprocal square roots
        [Li, Ren-Cang, Croot , Ernie , Zhu, Hui June ].(315), 405-417 [.]

      Technical Report 2004
      • Structural preserving model reductions
        [Li, Ren-Cang].

      Conference Proceeding 2003
      • Theorems on efficient argument reductions
        [Li, Ren-Cang, Boldo , S. , Daumas, M. ]. 129-136 [.]

      Journal Article 2003
      • A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems
        [Li, Ren-Cang, Ye, Qiang ]. 25(2), 405-428 [.]
      2003
      • A theorem for graded indefinite hermitian matrices
        [Li, Ren-Cang, Truhar, Ninoslav ].(359), 263-276 [.]
      2003
      • On perturbations of matrix pencils with real spectra, a Revisit
        [Li, Ren-Cang].(72), 715-728 [.]

      Journal Article 2002
      • Pinchings and norms of scaled triangular matrices
        [Li, Ren-Cang, Kahan , W. , Bhatia, R. ].(50), 15-21 [.]

      Other 2000
      • Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
        [Li, Ren-Cang, Bai, Z. , Demmel, J. , Dongarra, J. , Ruhe, A. , van der Vorst , H. ].

      Journal Article 2000
      • A new relative perturbation theorem for singular value problem
        [Li, Ren-Cang, Stewart, G. W. ].(313), 41-51 [.]
      2000
      • Relative perturbation theory: IV sin2θ Theorems
        [Li, Ren-Cang].(311), 45-60 [.]

      Technical Report 2000
      • Unconventional reflexive numerical methods for matrix differential riccati equations
        [Li, Ren-Cang].
      2000
      • Unconventional reflexive numerical methods for matrix differential riccati equations
        [Li, Ren-Cang]. Department of Mathematics, University of Kentucky.
      2000
      • Test positive realness of a general transfer function matrix
        [Li, Ren-Cang]. "Department of Mathematics, University of Kentucky".

      Conference Proceeding 2000
      Journal Article 1999
      • A bound on the solution to a structured Sylvester equation with an application to relative perturbation theory
        [Li, Ren-Cang].(21), 440-445 [.]
      1999
      • Relative perturbation theory: II eigenspace and singular space variations
        [Li, Ren-Cang].(20), 471-492 [.]

      Journal Article 1998
      • Eigenvalues of Symmetrizable Matrices
        [Li, Ren-Cang, Bhatia, R. , Kittaneh, F. ].(38), 1-11 [.]
      1998
      • Relative perturbation theory: I eigenvalue and singular value variations
        [Li, Ren-Cang].(19), 956-982 [.]
      1998
      • Spectral variations and Hadamard products: some problems
        [Li, Ren-Cang].(278), 317-326 [.]

      Technical Report 1998
      • A multi-resolution approach for calculating primary eigenvectors of a large set of images
        [Li, Ren-Cang]. Department of Mathematics, University of Kentucky.

      Journal Article 1997
      • Composition constants for raising the orders of unconventional schemes for ordinary differential equations
        [Li, Ren-Cang, Kahan, W. ].(66), 1089-1099 [.]
      1997
      • Relative perturbation bounds for the unitary polar factor
        [Li, Ren-Cang].(37), 67-75 [.]
      1997
      • Relative perturbation theory: (III) more bounds on eigenvalue variation
        [Li, Ren-Cang].(266), 337-345 [.]
      1997
      • Some inequalities for commutators and an application to spectral variation. II
        [Li, Ren-Cang].(43), 207-219 [.]
      1997
      • Unconventional schemes for a class of ordinary differential equations—with applications to the Korteweg-de Vries (KdV) equation
        [Li, Ren-Cang, Kahan, W. ].(134), 316-331 [.]

      Journal Article 1996
      • A sharp version of Kahan’s theorem on clustered eigenvalues
        [Li, Ren-Cang, Cao , Z.-H. , Xie, J.-J. ].(245), 147-156 [.]
      1996
      • On perturbations of matrix pencils with real spectra, II
        [Li, Ren-Cang, Bhatia, R. ].(65), 637-645 [.]
      1996
      • On perturbations of matrix pencils with real spectra, II
        [Li, Ren-Cang].(65), 637-645 [.]

      Journal Article 1995
      • New perturbation bounds for the unitary polar factor
        [Li, Ren-Cang].(16),

      Journal Article 1994
      • On eigenvalue variations of Rayleigh quotient matrix pencils of a definite pencils
        [Li, Ren-Cang].(208-209), 471-483 [.]
      1994
      • On perturbations of matrix pencils with real spectra
        [Li, Ren-Cang].(62), 231-265 [.]

      Technical Report 1994
      • An efficient tridiagonal eigenvalue solver on CM 5 with Laguerre’s iteration
        [Li, Ren-Cang]. Computer Science Division, University of California at Berkeley.
      1994
      • Linear systems with coefficient matrices having fields of values not containing the origin
        [Li, Ren-Cang]. Computer Science Division, University of California at Berkeley.
      1994
      • Relations between the field of values of a matrix and those of its Schur complements
        [Li, Ren-Cang]. Computer Science Division, University of California at Berkeley.
      1994
      • Solving secular equations stably and efficiently
        [Li, Ren-Cang]. Computer Science Division, University of California at Berkeley.

      Journal Article 1993
      • A perturbation bound for definite pencils
        [Li, Ren-Cang].(179), 191-202 [.]
      1993
      • A perturbation bound for the generalized polar decomposition
        [Li, Ren-Cang].(33), 304-308 [.]
      1993
      • Bounds on perturbations of generalized singular values and of associated subspaces
        [Li, Ren-Cang].(14), 195-234 [.]
      1993
      • Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils
        [Li, Ren-Cang].(182), 199-234 [.]

      Journal Article 1992
      • Algorithms for inverse eigenvalue problems
        [Li, Ren-Cang].(10), 97-111 [.]
      1992
      • Compute multiple nonlinear eigenvalues
        [Li, Ren-Cang]. 10(1), 1-20 [.]
      1992
      • On eigenvalues of a Rayleigh quotient matrix
        [Li, Ren-Cang].(169), 249-255 [.]
      1992
      • Solution of linear matrix equation AXD − BXC = S and perturbation of eigenspaces of a matrix pencil
        [Li, Ren-Cang].(10), 93-109 [.]

      Journal Article 1990
      • Computing the Critical Points of a Stability Problem
        [Li, Ren-Cang].
      1990
      • On the variations of the spectra of matrix pencils
        [Li, Ren-Cang].(139), 147-164 [.]

      Journal Article 1989
      • On perturbation theorems for the generalized eigenvalues of regular matrix pencils
        [Li, Ren-Cang]. 11, 24-35 [.]
      1989
      • Perturbation bounds for generalized eigenvalues.
        [Li, Ren-Cang].(11), 1-9 [.]
      1989
      • Perturbation bounds for generalized eigenvalues. II
        [Li, Ren-Cang].(11), 39-43 [.]
      1989
      • QR decomposition and nonlinear eigenvalue problems
        [Li, Ren-Cang].

      Journal Article 1988
      • A converse to the Bauer-Fike type theorem
        [Li, Ren-Cang].(109), 167-178 [.]

      Software Unknown Unknown Unknown
      • Contribution to LAPACK: FORTRAN subroutines for solving secular equations which sit at the kernel of the divide-and-conquer methods for the symmetric eigenvalue problem and singular value problem
        [Li, Ren-Cang] (1925).
      Unknown
      • Formal definitions and theorems, with proofs, about floating-point numbers
        [Li, Ren-Cang, Boldo, Sylvie , Daumas, Marc , Fousse, Laurent , Li, Ren-Cang , Melquiond, Guillaume , Muller, Jean-Michel, Rideau, Laurence , Thery, Laurent ] (1925).
        www.netlib.org/fp/fp2.tgz
      Unknown Unknown

      Journal Article Unknown
      • Error Bounds For Approximate Deflating Subspaces For Linear Response Eigenvalue Problems
        [Li, Ren-Cang, Wang, Wei-guo , Zhang, Lei-hong ] (1925).
      Unknown
      • On the Generalized Lanczos TrustRegion Method
        [Li, Ren-Cang, Zhang , Lei-hong , Shen, Chungen ] (1925).
      Unknown
      • On the Generalized Lanczos TrustRegion Method
        [Li, Ren-Cang, Zhang , Lei-hong , Shen, Chungen ] (1925).
      Unknown
      • Optimal Parameters for Doubling Algorithms
        [Li, Ren-Cang, Huang, Tsung-Ming , Lin, Wen-Wei , Lu, Linzhang ] (1925).

      Other Unknown
      • Perturbation Analysis For Matrix Joint Block Diagonalization
        [Li, Ren-Cang] (1925).
      Unknown
      • Structured Backward Error for Palindromic Polynomial Eigenvalue Problems, II: Approximate Eigentriplets
        [Li, Ren-Cang, Liu, Changli] (1925).

      Technical Report Unknown
      • Reciproot algorithm–correctly rounded?
        [Li, Ren-Cang] (1925). Computer Science Division, University of California at Berkeley.

Presentations

    • October  2016
      Li, Ren-Cang, "Ubiquitous Doubling Algorithms, General Theory, and Applications", CIRM, France. (October 28, 2016).
    • August  2016
      Li, Ren-Cang, "• Ubiquitous Doubling Algorithms, General Theory, and Applications", Shanghai University. (August 10, 2016).
    • July  2016
      Li, Ren-Cang, "• Highly Accurate Doubling Algorithms for M-matrix Algebraic Riccati Equations", Leuven, Belgium. (July 15, 2016).
    • June  2016
      Li, Ren-Cang, "• Nonlinear Eigenvalue Problems from Maximizing Sum of Trace Ratios", Beijing International Center for Mathematical Research . (June 24, 2016).
    • June  2016
      Li, Ren-Cang, "Ubiquitous Doubling Algorithms, General Theory, and Applications", Zagreb, Croatia. (June 14, 2016).
    • October  2015
      Li, Ren-Cang, "• The Big Bang Theory in High Accuracy Computations", University of California at Berkeley. (October 24, 2015).
    • October  2015
      Li, Ren-Cang, "The Big Bang Theory in High Accuracy Computations", University of California at Berkeley. (October 23, 2015).
    • August  2015
      Li, Ren-Cang, "Linear Response Eigenvalue Problem Solved by Extended Locally Optimal Preconditioned Conjugate Gradient Methods", ICIAM 2015, Beijing. (August 14, 2015).
    • June  2015
      Li, Ren-Cang, "Nonlinear Eigenvalue Problems from Maximizing Sum of Trace Ratios", The 2015 Shanghai Graduate Students . (June 27, 2015).
    • August  2014
      Li, Ren-Cang, "Linear Response Eigenvalue Problem Solved by Extended Locally Optimal Preconditioned Conjugate Gradient Methods", Fudan University. (August 12, 2014).
    • August  2014
      Li, Ren-Cang, "Classical Min-Max Principles And Beyond", Sungkyunkwan University, Seoul, Korea. (August 9, 2014).
    • March  2014
      Li, Ren-Cang, "Nonlinear Eigenvalue Problems from Maximizing Sum of Trace Ratios", Tsukuba, Japan. (March 9, 2014).
    • September  2013
      Li, Ren-Cang, "The Hyperbolic Quadratic Eigenvalue Problem", National Tsing-Hua University, Hsinchu, Taiwan. (September 12, 2013).
    • December  2012
      Li, Ren-Cang, "Classical Min-Max Principles and Beyond", Indian Institute of Science, Bangalore, India. (December 30, 2012).
    • August  2012
      Li, Ren-Cang, "Solving Large Scale Linear Response Eigenvalue Problems", State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Science, Urumqi, Xinjiang, China. (August 18, 2012).
    • July  2012
      Li, Ren-Cang, "Accurate Solution of M-Matrix Algebraic Riccati Equation by ADDA: AlternatingDirectional Doubling Algorithm", Fudan University. (July 20, 2012).
    • June  2012
      Li, Ren-Cang, "Accurate Solution of M-Matrix Algebraic Riccati Equation by ADDA: AlternatingDirectional Doubling Algorithm", Valencia, Spain. (June 22, 2012).
    • March  2010
      Li, Ren-Cang, "Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem", Lexington, KY. (March 28, 2010).
    • July  2009
      Li, Ren-Cang, "Bounds on Solutions of Certain Structured Sylvester Equations ", Zhejiang Forestry University, Hangzhou/Lin’An, China . (July 13, 2009).
    • May  2008
      Li, Ren-Cang, "Integrate Matrix Differential Riccati Equations Whose Solutions May Have Singularities", The University of Texas at Arlington. (May 21, 2008).
    • March  2008
      Li, Ren-Cang, "Eigenvalues of a Perturbed Hermitian Matrix", celebrating of the many decades of accomplishments and the 75th birthdays of Prof. William (Velvel) Kahan and Prof. Beresford Parlett. (March 30, 2008).
    • May  2006
      Li, Ren-Cang, "Accurate Computations of Positive Polar Factors of Graded Matrices", Pennsylvania State University, University Park. (May 25, 2006).
    • June  2005
      Li, Ren-Cang, "Rectangular Vandermonde Matrices and Convergence of Krylov Subspace Methods", Regina, Canada. (June 29, 2005).
    • June  2004
      Li, Ren-Cang, "Structural preserving model reductions", Technical University of Denmark, Copenhagen, Denmark. (June 23, 2004).
    • March  2004
      Li, Ren-Cang, "Structural preserving methods for large eigenvalue problems", GAMM, Dresden, Germany. (March 27, 2004).
    •  2003
      Li, Ren-Cang, "Krylov type subspace methods for quadratic matrix polynomials", Williamsburg. ( , 2003).
    • June  2002
      Li, Ren-Cang, "The abc conjecture and correctly rounded reciprocal square roots", Portland, Oregon, USA. (June , 2002).
    • June  2002
      Li, Ren-Cang, "Krylov type subspace methods for quadratic matrix polynomials", Peebles, Scotland. (June 21, 2002).
    • August  2000
      Li, Ren-Cang, Rayens, William , Andersen, Anders, Blonder, Lee , "Mathematical problems in the application of multilinear models to facial emotion processing experiments", Optical Science and Technology, San Diego. (August , 2000).
    • July  2000
      Li, Ren-Cang, Rayens, William , "Kronecker canonical forms and the I×J×2 trilinear model", Denmark. (July , 2000).
    • July  2000
      Li, Ren-Cang, Ravens, William, "Trilinear decomposition and its applications", Puerto Rico. (July 14, 2000).
    • June  1999
      Li, Ren-Cang, "A multi-resolution approach for calculating primary eigenvectors of a large set of images", Chateau Whistler, Whistler, B.C., Canada. (June 18, 1999).
    • July  1998
      Li, Ren-Cang, "Unconventional reflexive numerical methods for matrix differential riccati equations", MATHEMATICAL THEORY OF NETWORKS AND SYSTEMS (MTNS 98), Padavo, Italy. (July 10, 1998).
    • May  1998
      Li, Ren-Cang, "A multi-resolution approach for calculating primary eigenvectors of a large set of images", Canadian Applied Mathematics Society, Vancouver, British Columbia, Canada. (May 31, 1998).
    • November  1997
      Li, Ren-Cang, "Spectral variation for diagonalizable matrices", Snowbird Ski & Summer Resort, Snowbird, UT. (November 1, 1997).
    • July  1997
      Li, Ren-Cang, "Unconventional reflexive numerical methods for matrix differential riccati equations", Stanford, CA. (July 18, 1997).
    • July  1997
      Li, Ren-Cang, "Unconventional reflexive numerical methods for matrix differential riccati equations", Stanford, CA. (July 18, 1997).
    • November  1996
      Li, Ren-Cang, "Unconventional schemes for ordinary differential equations", ODE to Linear Algebra and Rational Approximation, Monterey, CA. (November 2, 1996).
    • August  1996
      Li, Ren-Cang, "Eigenvalues of symmetrizable matrices", Germany. (August 17, 1996).
    • July  1996
      Li, Ren-Cang, "Raising the orders of unconventional schemes for ordinary differential equations", Kansas City, Missouri. (July 26, 1996).
    • July  1996
      Li, Ren-Cang, "Sensitivity analysis for polar decompositions", Kansas City. (July 26, 1996).
    • June  1996
      Li, Ren-Cang, Kahan, W. (Presenter), "Relative perturbation theory for eigenvalue problem", Switzerland. (June 21, 1996).
    •  1990
      Li, Ren-Cang, "Bounds on perturbations of generalized singular values and of associated subspaces", Switzerland. ( , 1990).

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Sept 2016 to Aug 2020 An Innovative Bridge Program for Mentoring BS-MS Fast-Track Students towards PhDs in Mathematical Sciences sponsored by  - $585001
      (Funded)
    • Aug 2017 to Aug 2020 Ubiquitous Doubling Algorithms For Nonlinear Matrix Equations and Applications sponsored by  - $200822
      Ren-cang Li (Funded)
    • July 2015 to June 2019 AF: Small: Collaborative Research: Mathematical Theory and Fast Algorithms for Rayleigh Quotient-type Optimizations sponsored by  - $138995
      Ren-cang Li (Funded)
    • Sept 2013 to Aug 2017 Linear Response Eigenvalue Problem: New Minimization Principles and Efficient Algorithms sponsored by  - $214458
      Ren-cang Li (Funded)
    • Sept 2011 to Aug 2014 Collaborative Research: Efficient Solvers for Nonlinear Eigenvalue Problems and Applications sponsored by  - $169941
      Ren-cang Li (Funded)
    • Sept 2008 to Aug 2012 Marching Over Poles: Innovative Ways to Solve Matrix Differential Riccati Equations sponsored by  - $262256
      Ren-cang Li (Funded)
    • June 2006 to July 2009 Structural Preserving Numerical Methods for Eigenvalue Problems sponsored by  - $219790
      Ren-cang Li (Funded)

Students Supervised

    • Aug 2018
      Mei Yang, (Mathematics)
    • Dec 2017
      Gul Karaduman, (Mathematics)
    • Aug 2017
      Ivan Ojeda-Ruiz, (Mathematics)
    • Dec 2016
      Melinda Au, (Mathematics)
    • May 2016
      Ahmed Ali, (Mathematics)
    • Aug 2013
      Weichao Wang, (Mathematics)
    • May 2013
      Charles Garrett, (Mathematics)

Courses

      • MATH 6310-001 FOUNDATION OF DATA SCIENCES
        (Course Id: 113183)
        Fall - Regular Academic Session - 2019
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2019
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2019
      • MATH 2425-050 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 2425-051 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 2425-052 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2019
      • MATH 7399-002 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Spring - Regular Academic Session - 2019
      • MATH 5399-004 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2019
      • MATH 5999-002 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2019
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2018
      • MATH 6310-001 FOUNDATION OF DATA SCIENCES
        (Course Id: 113183)
        Fall - Regular Academic Session - 2018
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Fall - Regular Academic Session - 2018
      • MATH 7399-002 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2018
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Eleven Week - 2018
      • MATH 5699-001 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2018
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 6699-003 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2018
      • MATH 5399-004 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2018
      • MATH 5999-007 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2018
      • MATH 2425-400 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-401 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-402 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017
      • MATH 2425-403 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2017 Download Syllabus
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2017
      • MATH 5399-003 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2017
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2017
      • MATH 5999-001 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Fall - Regular Academic Session - 2017
      • MATH 6699-002 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2017
      • MATH 7399-005 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2017
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2017
      • MATH 6699-003 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2017
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402)
        Spring - Regular Academic Session - 2017 Download Syllabus
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2017 Download Syllabus
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2017
      • MATH 5999-003 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2017
      • MATH 6999-001 DISSERTATION
        (Course Id: 110861)
        Fall - Regular Academic Session - 2016
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Fall - Regular Academic Session - 2016
      • MATH 4322-001 INTRO COMPLEX VARIABLES
        (Course Id: 108393)
        Fall - Regular Academic Session - 2016 Download Syllabus
      • MATH 5699-008 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2016
      • MATH 6399-001 DISSERTATION
        (Course Id: 110859)
        Summer - Eleven Week - 2016
      • MATH 6699-008 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2016
      • MATH 5699-006 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2016
      • MATH 6699-009 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2016
      • MATH 6999-001 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2016
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2016
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2016
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Course Id: 108487)
        Spring - Regular Academic Session - 2016 Download Syllabus
      • MATH 6399-003 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2015
      • MATH 5399-003 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2015
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2015
      • MATH 5392-006 SELECTED TOPICS IN MATH
        (Topic: Matrix Techniques | Course Id: 108487)
        Fall - Regular Academic Session - 2015 Download Syllabus
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2015
      • MATH 5399-001 RESEARCH IN MATHEMATICS
        (Topic: Random Networks | Course Id: 112022)
        Summer - Eleven Week - 2015
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2015
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2015 Download Syllabus
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2015
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2015
      • MATH 5999-004 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2015
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2014 Download Syllabus
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2014
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2014
      • MATH 5999-002 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Fall - Regular Academic Session - 2014
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Eleven Week - 2014
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2014
      • MATH 5371-001 APPLIED NUM. LINEAR ALGEBRA
        (Course Id: 108481)
        Spring - Regular Academic Session - 2014 Download Syllabus
      • MATH 5399-001 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2014
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2014
      • MATH 5699-001 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2013
      • MATH 7399-003 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2013
      • MATH 6699-009 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2013
      • MATH 6999-004 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2013
      • HONR-SC 2425-100 HONORS CALCULUS II
        (Course Id: 103845)
        Spring - Regular Academic Session - 2013 Download Syllabus
      • MATH 5395-006 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2013
      • MATH 5391-016 SPECIAL TOPICS IN MATH
        (Topic: Topics in Medical Imaging | Course Id: 108486)
        Spring - Regular Academic Session - 2013
      • MATH 5371-001 APPLIED NUM. LINEAR ALGEBRA
        (Course Id: 108481)
        Fall - Regular Academic Session - 2012 Download Syllabus
      • MATH 6999-002 DISSERTATION
        (Course Id: 110861)
        Fall - Regular Academic Session - 2012
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2012
      • MATH 6999-002 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2012
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402)
        Spring - Regular Academic Session - 2012 Download Syllabus
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2012 Download Syllabus
      • MATH 5395-010 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2012
      • MATH 2326-002 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2011
      • MATH 6399-003 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2011
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2011
      • MATH 4391-001 SPECIAL TOPICS IN MATH
        (Course Id: 108404)
        Fall - Regular Academic Session - 2011
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Summer - Five Week - Second - 2011
      • MATH 5371-001 APPLIED NUM. LINEAR ALGEBRA
        (Course Id: 108481)
        Spring - Regular Academic Session - 2011
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2011
      • MATH 5395-002 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2011
      • MATH 1426-005 CALCULUS I
        (Course Id: 108344)
        Fall - Regular Academic Session - 2010
      • MATH 5392-006 SELECTED TOPICS IN MATH
        (Topic: Sparse Matrix Computations | Course Id: 108487)
        Fall - Regular Academic Session - 2010
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Topic: Numerical Computation | Course Id: 108486)
        Summer - Eleven Week - 2010
      • MATH 3330-001 MATRICES & LINEAR ALGEBRA
        (Course Id: 108372)
        Spring - Regular Academic Session - 2010
      • MATH 5392-007 SELECTED TOPICS IN MATH
        (Topic: Num Linear Algbr & Data Mining | Course Id: 108487)
        Spring - Regular Academic Session - 2010
      • MATH 5395-002 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2010
      • MATH 5371-001 APPLIED NUM. LINEAR ALGEBRA
        (Course Id: 108481)
        Fall - Regular Academic Session - 2009
      • MATH 2425-001 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009
      • MATH 2425-101 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009
      • MATH 2425-201 CALCULUS II
        (Course Id: 108353)
        Fall - Regular Academic Session - 2009

Service to the University

    • Aug 2016 to  Present Program Coordinator
      Mathematics Colloquium
    • June 2016 to  Present Committee Member
      College of Science Award Committee
    • Apr 2007 to  Present Program Coordinator
      athematics Technical Report
    • Sept 2006 to  Present Program Organizer
      Applied Mathematics Seminar Coordinator
    • Sept 2006 to  Present Mathematics Representative
      UTA Library
    • June 2017 to  Apr 2019 Committee Member
      Mathematics Award Committee
    • Sept 2017 to  May 2018 Committee Member
      College of Science Hiring Committee
    • June 2015 to  Apr 2017 Committee Member
      Chair's Advisory Committee
    • June 2014 to  Apr 2015 Committee Member
      Mathematics Graduate Advising Committee
    • June 2013 to  May 2014 Committee Chair
      Mathematics Graduate Advising Committee
    • June 2012 to  Apr 2014 Committee Member
      Mathematics Undergraduate Advising Committee
    • June 2011 to  Apr 2012 Committee Chair
      Mathematics Award Committee
    • June 2011 to  Apr 2012 Committee Member
      Mathematics Hiring Committee
    • June 2007 to  Apr 2008 Committee Chair
      Mathematics Award Committee

Service to the Profession

    • Dec 2017 to  Present
      Editor, Associate Editor
      Mathematical Communications
    • May 2013 to  Present
      Editor, Journal Editor
      Journal of Mathematical Study
    • Oct 2012 to  Present
      Editor, Journal Editor
      Linear and Multilinear Algebra
    • Dec 2011 to  Sept 2018
      Editor, Journal Editor
      Operators and Matrices
    • Jan 2011 to  Sept 2017
      Editor, Associate Editor
      Numerical Algebra, Control and Optimization
    • Dec 2006 to  Dec 2012
      Editor, Associate Editor
      SIAM Journal on Matrix Analysis and Applications