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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 || Back Matter

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

Year:

2018

Language:

english

File:

PDF, 111 KB

english, 2018

5

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

6

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

7

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

8

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

9

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

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

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

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

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

15

A Self-consistent-field Iteration for Orthogonal CCA

Zhang, Leihong, Wang, Li, Bai, Zhaojun, Li, Ren-cang

Journal:

IEEE Transactions on Pattern Analysis and Machine Intelligence

Year:

2020

File:

PDF, 2.14 MB

2020

16

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

17

First-Order Perturbation Theory for Eigenvalues and Eigenvectors

Greenbaum, Anne, Li, Ren-Cang, Overton, Michael L.

Journal:

Year:

2020

File:

PDF, 407 KB

2020

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

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

20

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

21

Relative perturbation bounds for the unitary polar factor

Journal:

BIT Numerical Mathematics

Year:

1997

Language:

english

File:

PDF, 363 KB

english, 1997

22

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

23

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

24

Cluster-robust accuracy bounds for Ritz subspaces

Teng, Zhongming, Lu, Linzhang, Li, Ren-Cang

Journal:

Linear Algebra and its Applications

Year:

2015

Language:

english

File:

PDF, 369 KB

english, 2015

25

A block Chebyshev-Davidson method for linear response eigenvalue problems

Teng, Zhongming, Zhou, Yunkai, Li, Ren-Cang

Journal:

Advances in Computational Mathematics

Year:

2016

Language:

english

File:

PDF, 1.31 MB

english, 2016

26

A perturbation bound for definite pencils

Journal:

Linear Algebra and its Applications

Year:

1993

Language:

english

File:

PDF, 530 KB

english, 1993

27

Extensions of Wielandt’s min–max principles for positive semi-definite pencils

Liang, Xin, Li, Ren-Cang

Journal:

Linear and Multilinear Algebra

Year:

2014

Language:

english

File:

PDF, 219 KB

english, 2014

28

Monotonicity of unitarily invariant norms

Wang, Xue-Feng, Li, Ren-Cang

Journal:

Linear Algebra and its Applications

Year:

2015

Language:

english

File:

PDF, 307 KB

english, 2015

29

On Perturbations of Matrix Pencils with Real Spectra, a Revisit

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 386 KB

english, 2003

30

A symmetric structure-preserving ΓQR algorithm for linear response eigenvalue problems

Li, Tiexiang, Li, Ren-Cang, Lin, Wen-Wei

Journal:

Linear Algebra and its Applications

Year:

2017

Language:

english

File:

PDF, 610 KB

english, 2017

31

Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 467 KB

english, 1998

32

Backward Error of Polynomial Eigenproblems Solved by Linearization

Higham, Nicholas J., Li, Ren-Cang, Tisseur, Françoise

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 312 KB

english, 2008

33

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

34

A Scalable Algorithm for Large-scale Unsupervised Multi-view Partial Least Squares

Wang, Li, Li, Ren-Cang

Journal:

IEEE Transactions on Big Data

Year:

2020

File:

PDF, 737 KB

2020

35

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

36

Highly accurate doubling algorithms forM-matrix algebraic Riccati equations

Xue, Jungong, Li, Ren-Cang

Journal:

Numerische Mathematik

Year:

2017

Language:

english

File:

PDF, 861 KB

english, 2017

37

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

38

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

39

A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem

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

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 417 KB

english, 2015

40

Relative perturbation theory: IV. sin 2θ theorems

Journal:

Linear Algebra and its Applications

Year:

2000

Language:

english

File:

PDF, 139 KB

english, 2000

41

Spectral variations and Hadamard products: Some problems

Journal:

Linear Algebra and its Applications

Year:

1998

Language:

english

File:

PDF, 558 KB

english, 1998

42

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

43

Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 521 KB

english, 1998

44

Composition Constants for Raising the Orders of Unconventional Schemes for Ordinary Differential Equations

William Kahan and Ren-Cang Li

Journal:

Mathematics of Computation

Year:

1997

Language:

english

File:

PDF, 1.37 MB

english, 1997

45

Perturbation theory for Hermitian quadratic eigenvalue problem – damped and simultaneously diagonalizable systems

Truhar, Ninoslav, Tomljanović, Zoran, Li, Ren-Cang

Journal:

Applied Mathematics and Computation

Year:

2020

File:

PDF, 1.10 MB

2020

46

Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior

Liu, Feng, Wang, Li, Lou, Yifei, Li, Ren-Cang, Purdon, Patrick L.

Journal:

IEEE Transactions on Medical Imaging

Year:

2020

File:

PDF, 2.81 MB

2020

47

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

48

A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems

Li, Ren-Cang, Ye, Qiang

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 377 KB

english, 2003

49

Convergence of the block Lanczos method for eigenvalue clusters

Li, Ren-Cang, Zhang, Lei-Hong

Journal:

Numerische Mathematik

Year:

2015

Language:

english

File:

PDF, 471 KB

english, 2015

50

THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM

LIANG, XIN, LI, REN-CANG

Journal:

Forum of Mathematics, Sigma

Year:

2015

Language:

english

File:

PDF, 768 KB

english, 2015

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