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1

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 5: Continuous-Time Algebraic Riccati Equation

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 276 KB

english, 2018

2

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 3: General Theory of Doubling Algorithms

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 377 KB

english, 2018

3

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Front Matter

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 572 KB

english, 2018

4

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 4: Discrete-Time Algebraic Riccati Equation

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 317 KB

english, 2018

5

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 7: Other Algebraic Riccati Equations

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 173 KB

english, 2018

6

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 6: M -matrix Algebraic Riccati Equation

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 251 KB

english, 2018

7

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Back Matter

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 111 KB

english, 2018

8

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 1: Introduction

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 104 KB

english, 2018

9

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 2: Preliminaries

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 106 KB

english, 2018

10

A perturbation bound for the generalized polar decomposition

Journal:

BIT Numerical Mathematics

Year:

1993

Language:

english

File:

PDF, 211 KB

english, 1993

11

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations || Chapter 8: Nonlinear Matrix Equations X + BX −1A = Q

Huang, Tsung-Ming, Li, Ren-Cang, Lin, Wen-Wei

Year:

2018

Language:

english

File:

PDF, 780 KB

english, 2018

12

Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils

Journal:

Linear Algebra and its Applications

Year:

1993

Language:

english

File:

PDF, 1.71 MB

english, 1993

13

On the ADI method for Sylvester equations

Peter Benner, Ren-Cang Li, Ninoslav Truhar

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.02 MB

english, 2009

14

The abc conjecture and correctly rounded reciprocal square roots

Ernie Croot, Ren-Cang Li, Hui June Zhu

Journal:

Theoretical Computer Science

Year:

2004

Language:

english

File:

PDF, 253 KB

english, 2004

15

Accurate solutions ofM-matrix algebraic Riccati equations

Jungong Xue, Shufang Xu, Ren-Cang Li

Journal:

Numerische Mathematik

Year:

2012

Language:

english

File:

PDF, 530 KB

english, 2012

16

On the Generalized Lanczos Trust-Region Method

Zhang, Lei-Hong, Shen, Chungen, Li, Ren-Cang

Journal:

SIAM Journal on Optimization

Year:

2017

Language:

english

File:

PDF, 493 KB

english, 2017

17

On an Eigenvector-Dependent Nonlinear Eigenvalue Problem

Cai, Yunfeng, Zhang, Lei-Hong, Bai, Zhaojun, Li, Ren-Cang

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 433 KB

english, 2018

18

Highly accurate doubling algorithm for quadratic matrix equation from quasi-birth-and-death process

Chen, Cairong, Li, Ren-Cang, Ma, Changfeng

Journal:

Linear Algebra and its Applications

Year:

2019

Language:

english

File:

PDF, 718 KB

english, 2019

19

A converse to the Bauer-Fike type theorem

Journal:

Linear Algebra and its Applications

Year:

1988

Language:

english

File:

PDF, 493 KB

english, 1988

20

On eigenvalues of a Rayleigh quotient matrix

Journal:

Linear Algebra and its Applications

Year:

1992

Language:

english

File:

PDF, 314 KB

english, 1992

21

On eigenvalue variations of rayleigh quotient matrix pencils of a definite pencil

Journal:

Linear Algebra and its Applications

Year:

1994

Language:

english

File:

PDF, 499 KB

english, 1994

22

A note on eigenvalues of perturbed Hermitian matrices

Chi-Kwong Li, Ren-Cang Li

Journal:

Linear Algebra and its Applications

Year:

2005

Language:

english

File:

PDF, 183 KB

english, 2005

23

Krylov type subspace methods for matrix polynomials

Leonard Hoffnung, Ren-Cang Li, Qiang Ye

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 329 KB

english, 2006

24

Vandermonde matrices with Chebyshev nodes

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 348 KB

english, 2008

25

The rate of convergence of GMRES on a tridiagonal toeplitz linear system. II

Ren-Cang Li, Wei Zhang

Journal:

Linear Algebra and its Applications

Year:

2009

Language:

english

File:

PDF, 200 KB

english, 2009

26

Stable solutions of linear systems involving long chain of matrix multiplications

Zhaojun Bai, Cherung Lee, Ren-Cang Li, Shufang Xu

Journal:

Linear Algebra and its Applications

Year:

2011

Language:

english

File:

PDF, 351 KB

english, 2011

27

Bounding the spectrum of large Hermitian matrices

Yunkai Zhou, Ren-Cang Li

Journal:

Linear Algebra and its Applications

Year:

2011

Language:

english

File:

PDF, 398 KB

english, 2011

28

Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts

Ninoslav Truhar, Zoran Tomljanović, Ren-Cang Li

Journal:

Systems & Control Letters

Year:

2010

Language:

english

File:

PDF, 570 KB

english, 2010

29

A new relative perturbation theorem for singular subspaces

Ren-Cang Li, G.W. Stewart

Journal:

Linear Algebra and its Applications

Year:

2000

Language:

english

File:

PDF, 99 KB

english, 2000

30

Relative perturbation theory: IV. sin 2θ theorems

Journal:

Linear Algebra and its Applications

Year:

2000

Language:

english

File:

PDF, 139 KB

english, 2000

31

A sin2Θ theorem for graded indefinite Hermitian matrices

Ninoslav Truhar, Ren-Cang Li

Journal:

Linear Algebra and its Applications

Year:

2003

Language:

english

File:

PDF, 132 KB

english, 2003

32

Relative perturbation theory. III. More bounds on eigenvalue variation

Journal:

Linear Algebra and its Applications

Year:

1997

Language:

english

File:

PDF, 400 KB

english, 1997

33

Spectral variations and Hadamard products: Some problems

Journal:

Linear Algebra and its Applications

Year:

1998

Language:

english

File:

PDF, 558 KB

english, 1998

34

Relative perturbation bounds for the unitary polar factor

Journal:

BIT Numerical Mathematics

Year:

1997

Language:

english

File:

PDF, 363 KB

english, 1997

35

Eigenvalues of symmetrizable matrices

Rajendra Bhatia, Fuad Kittaneh, Ren-Cang Li

Journal:

BIT Numerical Mathematics

Year:

1998

Language:

english

File:

PDF, 441 KB

english, 1998

36

The rate of convergence of GMRES on a tridiagonal Toeplitz linear system

Ren-Cang Li, Wei Zhang

Journal:

Numerische Mathematik

Year:

2009

Language:

english

File:

PDF, 531 KB

english, 2009

37

Structured backward error for palindromic polynomial eigenvalue problems

Ren-Cang Li, Wen-Wei Lin, Chern-Shuh Wang

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 391 KB

english, 2010

38

Convergence of CG and GMRES on a tridiagonal Toeplitz linear system

Journal:

BIT Numerical Mathematics

Year:

2007

Language:

english

File:

PDF, 776 KB

english, 2007

39

Analysis of an alignment algorithm for nonlinear dimensionality reduction

Qiang Ye, Hongyuan Zha, Ren-Cang Li

Journal:

BIT Numerical Mathematics

Year:

2007

Language:

english

File:

PDF, 1.30 MB

english, 2007

40

The dynamic monitoring of horqin sand land using remote sensing

Yuan-man Hu, Yan Jiang, Yu Chang, Ren-cang Bu, Yue-hui Li, Chong-gang Xu

Journal:

Chinese Geographical Science

Year:

2002

Language:

english

File:

PDF, 2.31 MB

english, 2002

41

On the variation of the spectra of matrix pencils

Journal:

Linear Algebra and its Applications

Year:

1990

Language:

english

File:

PDF, 747 KB

english, 1990

42

A perturbation bound for definite pencils

Journal:

Linear Algebra and its Applications

Year:

1993

Language:

english

File:

PDF, 530 KB

english, 1993

43

A sharp version of Kahan's theorem on clustered eigenvalues

Zhi-hao Cao, Jin-jun Xie, Ren-Cang Li

Journal:

Linear Algebra and its Applications

Year:

1996

Language:

english

File:

PDF, 505 KB

english, 1996

44

Accurate solutions ofM-matrix Sylvester equations

Jungong Xue, Shufang Xu, Ren-Cang Li

Journal:

Numerische Mathematik

Year:

2012

Language:

english

File:

PDF, 491 KB

english, 2012

45

Perturbation of multiple eigenvalues of Hermitian matrices

Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar, Wei-guo Wang

Journal:

Linear Algebra and its Applications

Year:

2012

Language:

english

File:

PDF, 317 KB

english, 2012

46

Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems

Li, Ren-Cang, Nakatsukasa, Yuji, Truhar, Ninoslav, Xu, Shufang

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 288 KB

english, 2011

47

Alternating-directional Doubling Algorithm for M -Matrix Algebraic Riccati Equations

Wang, Wei-guo, Wang, Wei-chao, Li, Ren-Cang

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 377 KB

english, 2012

48

Minimization Principles for the Linear Response Eigenvalue Problem I: Theory

Bai, Zhaojun, Li, Ren-Cang

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 321 KB

english, 2012

49

New Perturbation Bounds for the Unitary Polar Factor

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1995

Language:

english

File:

PDF, 507 KB

english, 1995

50

Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1993

Language:

english

File:

PDF, 3.17 MB

english, 1993