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Author ID: guo.chun-hua Recent zbMATH articles by "Guo, Chun-Hua"
Published as: Guo, Chun-Hua; Guo, Chun-hua
Documents Indexed: 51 Publications since 1991
Co-Authors: 21 Co-Authors with 31 Joint Publications
486 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 801 times in 396 Documents Cited by Year
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
93
1999
Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. Zbl 0996.65047
Guo, Chun-Hua
79
2001
On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025
Guo, Chun-Hua; Laub, Alan J.
60
2000
Iterative solution of a nonsymmetric algebraic Riccati equation. Zbl 1146.65035
Guo, Chun-Hua; Higham, Nicholas J.
42
2007
On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation. Zbl 1157.65025
Guo, Chun-Hua; Iannazzo, Bruno; Meini, Beatrice
42
2008
Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case. Zbl 1195.65053
Chiang, Chun-Yueh; Chu, Eric King-Wah; Guo, Chun-Hua; Huang, Tsung-Ming; Lin, Wen-Wei; Xu, Shu-Fang
34
2009
A Schur-Newton method for the matrix \(p\)th root and its inverse. Zbl 1128.65030
Guo, Chun-Hua; Higham, Nicholas J.
29
2006
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
23
1998
Efficient methods for solving a nonsymmetric algebraic Riccati equation arising in stochastic fluid models. Zbl 1102.65049
Guo, Chun-Hua
20
2006
The matrix equation \(X+A^TX^{-1}A=Q\) and its application in nano research. Zbl 1227.65038
Guo, Chun-Hua; Lin, Wen-Wei
18
2010
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
17
2005
A new class of nonsymmetric algebraic Riccati equations. Zbl 1125.15015
Guo, Chun-Hua
17
2007
An improved arc algorithm for detecting definite Hermitian pairs. Zbl 1202.65054
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise
17
2010
Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm. Zbl 1215.65066
Guo, Chun-Hua; Lin, Wen-Wei
17
2010
On Newton’s method and Halley’s method for the principal \(p\)th root of a matrix. Zbl 1190.65065
Guo, Chun-Hua
17
2010
On a quadratic matrix equation associated with an \(M\)-matrix. Zbl 1017.15004
Guo, Chun-Hua
17
2003
A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation. Zbl 1017.15005
Guo, Chun-Hua
17
2002
On a Newton-like method for solving algebraic Riccati equations. Zbl 0965.65067
Guo, Chun-Hua; Laub, Alan J.
17
2000
Detecting and solving hyperbolic quadratic eigenvalue problems. Zbl 1180.65042
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise
17
2009
On a nonlinear matrix equation arising in nano research. Zbl 1254.65055
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
16
2012
Complex symmetric stabilizing solution of the matrix equation \(X+A^{\top}X^{-1}A=Q\). Zbl 1270.15010
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
16
2011
Convergence rate of an iterative method for a nonlinear matrix equation. Zbl 0997.65069
Guo, Chun-Hua
14
2001
On algebraic Riccati equations associated with \(M\)-matrices. Zbl 1283.15044
Guo, Chun-Hua
14
2013
Newton’s method for discrete algebraic Riccati equations when the closed-loop matrix has eigenvalues on the unit circle. Zbl 0923.65018
Guo, Chun-Hua
13
1998
Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory. Zbl 1183.65032
Guo, Chun-Hua; Lin, Wen-Wei
12
2010
A positivity preserving inverse iteration for finding the Perron pair of an irreducible nonnegative third order tensor. Zbl 1342.65114
Liu, Ching-Sung; Guo, Chun-Hua; Lin, Wen-Wei
11
2016
Convergence analysis of the Latouche–Ramaswami algorithm for null recurrent quasi-birth-death processes. Zbl 1005.65014
Guo, Chun-Hua
11
2002
Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations. Zbl 1273.65060
Guo, Chun-Hua
10
2013
Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation. Zbl 0854.65086
Guo, Chun-Hua
10
1996
Numerical solution of a quadratic eigenvalue problem. Zbl 1060.65039
Guo, Chun-Hua
10
2004
Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor. Zbl 1376.65052
Liu, Ching-Sung; Guo, Chun-Hua; Lin, Wen-Wei
9
2017
A note on the fixed-point iteration for the matrix equations \(X \pm A^* X^{-1}A=I\). Zbl 1166.65018
Fital, Sandra; Guo, Chun-Hua
9
2008
Numerical solution of nonlinear matrix equations arising from Green’s function calculations in nano research. Zbl 1251.65058
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
8
2012
Iterative solution of a matrix Riccati equation arising in stochastic control. Zbl 1020.65024
Guo, Chun-Hua
7
2002
On the numerical solution of a nonlinear matrix equation in Markov chains. Zbl 0945.65048
Guo, Chun-Hua
6
1999
On algebraic Riccati equations associated with regular singular \(M\)-matrices. Zbl 1329.15040
Guo, Chun-Hua; Lu, Di
4
2016
Convergence of the solution of a nonsymmetric matrix Riccati differential equation to its stable equilibrium solution. Zbl 1105.34029
Fital, Sandra; Guo, Chun-Hua
4
2006
A modified Newton iteration for finding nonnegative \(Z\)-eigenpairs of a nonnegative tensor. Zbl 1408.65016
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung
4
2019
Comments on a shifted cyclic reduction algorithm for quasi-birth-death problems. Zbl 1040.65004
Guo, Chun-Hua
4
2003
Iterative methods for a linearly perturbed algebraic matrix Riccati equation arising in stochastic control. Zbl 1275.65023
Guo, Chun-Hua
4
2013
Performance enhancement of doubling algorithms for a class of complex nonsymmetric algebraic Riccati equations. Zbl 1320.65063
Guo, Chun-Hua; Liu, Changli; Xue, Jungong
3
2015
Monotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th root. Zbl 1416.65118
Lu, Di; Guo, Chun-Hua
2
2018
Some results on sparse block factorization iterative methods. Zbl 0723.65019
Guo, Chun-hua
2
1991
A convergence result for matrix Riccati differential equations associated with \(m\)-matrices. Zbl 1357.34034
Guo, Chun-Hua; Yu, Bo
1
2015
Explicit convergence regions of Newton’s method and Chebyshev’s method for the matrix \(p\)th root. Zbl 1437.65043
Guo, Chun-Hua
1
2019
Incomplete block factorization preconditiong for indefinite elliptic problems. Zbl 0941.65034
Guo, Chun-Hua
1
1999
A study of Schröder’s method for the matrix \(p\)th root using power series expansions. Zbl 1434.65056
Guo, Chun-Hua; Lu, Di
1
2020
A new modified Newton iteration for computing nonnegative \(Z\)-eigenpairs of nonnegative tensors. Zbl 07630005
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung
1
2023
A new modified Newton iteration for computing nonnegative \(Z\)-eigenpairs of nonnegative tensors. Zbl 07630005
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung
1
2023
A study of Schröder’s method for the matrix \(p\)th root using power series expansions. Zbl 1434.65056
Guo, Chun-Hua; Lu, Di
1
2020
A modified Newton iteration for finding nonnegative \(Z\)-eigenpairs of a nonnegative tensor. Zbl 1408.65016
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung
4
2019
Explicit convergence regions of Newton’s method and Chebyshev’s method for the matrix \(p\)th root. Zbl 1437.65043
Guo, Chun-Hua
1
2019
Monotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th root. Zbl 1416.65118
Lu, Di; Guo, Chun-Hua
2
2018
Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor. Zbl 1376.65052
Liu, Ching-Sung; Guo, Chun-Hua; Lin, Wen-Wei
9
2017
A positivity preserving inverse iteration for finding the Perron pair of an irreducible nonnegative third order tensor. Zbl 1342.65114
Liu, Ching-Sung; Guo, Chun-Hua; Lin, Wen-Wei
11
2016
On algebraic Riccati equations associated with regular singular \(M\)-matrices. Zbl 1329.15040
Guo, Chun-Hua; Lu, Di
4
2016
Performance enhancement of doubling algorithms for a class of complex nonsymmetric algebraic Riccati equations. Zbl 1320.65063
Guo, Chun-Hua; Liu, Changli; Xue, Jungong
3
2015
A convergence result for matrix Riccati differential equations associated with \(m\)-matrices. Zbl 1357.34034
Guo, Chun-Hua; Yu, Bo
1
2015
On algebraic Riccati equations associated with \(M\)-matrices. Zbl 1283.15044
Guo, Chun-Hua
14
2013
Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations. Zbl 1273.65060
Guo, Chun-Hua
10
2013
Iterative methods for a linearly perturbed algebraic matrix Riccati equation arising in stochastic control. Zbl 1275.65023
Guo, Chun-Hua
4
2013
On a nonlinear matrix equation arising in nano research. Zbl 1254.65055
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
16
2012
Numerical solution of nonlinear matrix equations arising from Green’s function calculations in nano research. Zbl 1251.65058
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
8
2012
Complex symmetric stabilizing solution of the matrix equation \(X+A^{\top}X^{-1}A=Q\). Zbl 1270.15010
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei
16
2011
The matrix equation \(X+A^TX^{-1}A=Q\) and its application in nano research. Zbl 1227.65038
Guo, Chun-Hua; Lin, Wen-Wei
18
2010
An improved arc algorithm for detecting definite Hermitian pairs. Zbl 1202.65054
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise
17
2010
Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm. Zbl 1215.65066
Guo, Chun-Hua; Lin, Wen-Wei
17
2010
On Newton’s method and Halley’s method for the principal \(p\)th root of a matrix. Zbl 1190.65065
Guo, Chun-Hua
17
2010
Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory. Zbl 1183.65032
Guo, Chun-Hua; Lin, Wen-Wei
12
2010
Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case. Zbl 1195.65053
Chiang, Chun-Yueh; Chu, Eric King-Wah; Guo, Chun-Hua; Huang, Tsung-Ming; Lin, Wen-Wei; Xu, Shu-Fang
34
2009
Detecting and solving hyperbolic quadratic eigenvalue problems. Zbl 1180.65042
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise
17
2009
On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation. Zbl 1157.65025
Guo, Chun-Hua; Iannazzo, Bruno; Meini, Beatrice
42
2008
A note on the fixed-point iteration for the matrix equations \(X \pm A^* X^{-1}A=I\). Zbl 1166.65018
Fital, Sandra; Guo, Chun-Hua
9
2008
Iterative solution of a nonsymmetric algebraic Riccati equation. Zbl 1146.65035
Guo, Chun-Hua; Higham, Nicholas J.
42
2007
A new class of nonsymmetric algebraic Riccati equations. Zbl 1125.15015
Guo, Chun-Hua
17
2007
A Schur-Newton method for the matrix \(p\)th root and its inverse. Zbl 1128.65030
Guo, Chun-Hua; Higham, Nicholas J.
29
2006
Efficient methods for solving a nonsymmetric algebraic Riccati equation arising in stochastic fluid models. Zbl 1102.65049
Guo, Chun-Hua
20
2006
Convergence of the solution of a nonsymmetric matrix Riccati differential equation to its stable equilibrium solution. Zbl 1105.34029
Fital, Sandra; Guo, Chun-Hua
4
2006
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
17
2005
Numerical solution of a quadratic eigenvalue problem. Zbl 1060.65039
Guo, Chun-Hua
10
2004
On a quadratic matrix equation associated with an \(M\)-matrix. Zbl 1017.15004
Guo, Chun-Hua
17
2003
Comments on a shifted cyclic reduction algorithm for quasi-birth-death problems. Zbl 1040.65004
Guo, Chun-Hua
4
2003
A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation. Zbl 1017.15005
Guo, Chun-Hua
17
2002
Convergence analysis of the Latouche–Ramaswami algorithm for null recurrent quasi-birth-death processes. Zbl 1005.65014
Guo, Chun-Hua
11
2002
Iterative solution of a matrix Riccati equation arising in stochastic control. Zbl 1020.65024
Guo, Chun-Hua
7
2002
Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. Zbl 0996.65047
Guo, Chun-Hua
79
2001
Convergence rate of an iterative method for a nonlinear matrix equation. Zbl 0997.65069
Guo, Chun-Hua
14
2001
On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025
Guo, Chun-Hua; Laub, Alan J.
60
2000
On a Newton-like method for solving algebraic Riccati equations. Zbl 0965.65067
Guo, Chun-Hua; Laub, Alan J.
17
2000
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
93
1999
On the numerical solution of a nonlinear matrix equation in Markov chains. Zbl 0945.65048
Guo, Chun-Hua
6
1999
Incomplete block factorization preconditiong for indefinite elliptic problems. Zbl 0941.65034
Guo, Chun-Hua
1
1999
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
23
1998
Newton’s method for discrete algebraic Riccati equations when the closed-loop matrix has eigenvalues on the unit circle. Zbl 0923.65018
Guo, Chun-Hua
13
1998
Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation. Zbl 0854.65086
Guo, Chun-Hua
10
1996
Some results on sparse block factorization iterative methods. Zbl 0723.65019
Guo, Chun-hua
2
1991
all top 5

Cited by 469 Authors

23 Guo, Chun-Hua
17 Lin, Wen-Wei
12 Li, Rencang
12 Ma, Changfeng
12 Meini, Beatrice
11 Kim, Hyunmin
10 Hasanov, Vejdi Ismailov
10 Liao, Anping
9 Bini, Dario Andrea
9 Duan, Xuefeng
9 Ivanov, Ivan Ganchev
8 Bean, Nigel G.
8 Dong, Ning
8 Kuo, Yueh-Cheng
8 Latouche, Guy
8 O’Reilly, Małgorzata M.
8 Yu, Bo
7 El-Sayed, Salah M.
7 King-wah Chu, Eric
7 Li, Jing
7 Lin, Yiqin
7 Liu, Ching-Sung
6 Benner, Peter
6 Chiang, Chun-Yueh
6 Hernández-Verón, Miguel Ángel
6 Weng, Peter Chang-Yi
6 Xue, Jungong
5 Ahn, Soohan
5 Guo, Pei-Chang
5 Guo, Xiaoxia
5 Higham, Nicholas J.
5 Huang, Na
5 Miyajima, Shinya
5 Poloni, Federico Giovanni
5 Wu, Shiliang
5 Xu, Shufang
5 Zhang, Yuhai
4 Bao, Liang
4 Iannazzo, Bruno
4 Ignaciuk, Przemysław
4 Li, Cuixia
4 Li, Jicheng
4 Lim, Yongdo
4 Liu, Changli
4 Lu, Di
4 Lu, Linzhang
4 Meng, Jie
4 Romero, Natalia
4 Tisseur, Françoise
4 Wei, Yimin
4 Yuan, Yongxin
4 Zhang, Juan
3 Al-Dubiban, Asmaa M.
3 Amat, Sergio P.
3 Bartoszewicz, Andrzej
3 Cardoso, João R.
3 Chen, Cairong
3 Dehghan Takht Fooladi, Mehdi
3 Dong, Liqiang
3 Erfanifar, Raziyeh
3 Fan, Hung-Yuan
3 Huang, Baohua
3 Huang, Tsungming
3 Jbilou, Khalide
3 Kim, Youngjin
3 Liu, Jianzhou
3 Liu, Landong
3 Liu, Sanyang
3 Meng, Zhaoyun
3 Raydan, Marcos
3 Sayevand, Khosro
3 Seo, Sang-Hyup
3 Shieh, Shih-Feng
3 Shirilord, Akbar
3 Simon, Matthieu
3 Taylor, Peter Gerrard
3 Yin, Xiaoyan
2 Al-Dbiban, Asmaa M.
2 Badescu, Andrei L.
2 Benahmed, Boubakeur
2 Brezinski, Claude
2 Cai, Jing
2 Chacha, Chacha Stephen
2 Chen, Guoliang
2 Chen, Xiaoshan
2 Cheng, Lizhi
2 da Silva Soares, Ana
2 Damm, Tobias
2 do Valle Costa, Oswaldo Luiz
2 Drăgan, Vasile
2 Ezquerro, José Antonio
2 Fang, Liang
2 Fital, Sandra
2 Freiling, Gerhard
2 Gao, Shichen
2 Gao, Yonghua
2 Guan, Jinrui
2 Hajarian, Masoud
2 Jiang, Rujun
2 Kressner, Daniel
...and 369 more Authors
all top 5

Cited in 104 Serials

56 Linear Algebra and its Applications
39 Journal of Computational and Applied Mathematics
32 Applied Mathematics and Computation
19 Numerical Algorithms
12 Computers & Mathematics with Applications
11 Linear and Multilinear Algebra
11 Numerical Linear Algebra with Applications
11 Stochastic Models
8 Journal of the Franklin Institute
8 Numerische Mathematik
8 Applied Numerical Mathematics
7 Automatica
7 International Journal of Computer Mathematics
7 Abstract and Applied Analysis
6 Computational and Applied Mathematics
5 Mathematics of Computation
5 Journal of Scientific Computing
5 Journal of Applied Mathematics and Computing
4 Applied Mathematics Letters
4 SIAM Journal on Matrix Analysis and Applications
4 European Journal of Operational Research
4 SIAM Journal on Scientific Computing
4 ELA. The Electronic Journal of Linear Algebra
3 BIT
3 Japan Journal of Industrial and Applied Mathematics
3 Stochastic Processes and their Applications
3 Mathematical Programming. Series A. Series B
3 ETNA. Electronic Transactions on Numerical Analysis
3 Mathematical Problems in Engineering
3 European Journal of Control
3 Taiwanese Journal of Mathematics
3 Journal of Applied Mathematics
2 Advances in Applied Probability
2 International Journal of Systems Science
2 Journal of Computational Physics
2 Calcolo
2 Journal of the Korean Mathematical Society
2 Mathematics and Computers in Simulation
2 Numerical Functional Analysis and Optimization
2 Systems & Control Letters
2 Bulletin of the Iranian Mathematical Society
2 Applied Mathematical Modelling
2 Methodology and Computing in Applied Probability
2 The ANZIAM Journal
2 Mediterranean Journal of Mathematics
2 Journal of the Korean Statistical Society
2 Proceedings of the Estonian Academy of Sciences
2 East Asian Mathematical Journal
2 Advances in Applied Mathematics and Mechanics
2 Communications on Applied Mathematics and Computation
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 Journal of Mathematical Analysis and Applications
1 ACM Transactions on Mathematical Software
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 International Journal for Numerical Methods in Engineering
1 Journal of Applied Probability
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Optimal Control Applications & Methods
1 Insurance Mathematics & Economics
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Mathematical and Computer Modelling
1 Queueing Systems
1 Forum Mathematicum
1 Journal of Global Optimization
1 SIAM Review
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 Computational Optimization and Applications
1 International Applied Mechanics
1 Journal of the Egyptian Mathematical Society
1 Filomat
1 Journal of Inequalities and Applications
1 European Journal of Mechanics. A. Solids
1 Journal of Mathematical Study
1 Scandinavian Actuarial Journal
1 Applied Mathematics E-Notes
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Quantum Information Processing
1 Advances in Difference Equations
1 Engineering Optimization
1 Frontiers of Mathematics in China
1 Optimization Letters
1 Communications in Computational Physics
1 EURASIP Journal on Advances in Signal Processing
1 Annals of Functional Analysis
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 Forum of Mathematics, Sigma
1 Mathematical Sciences
1 East Asian Journal on Applied Mathematics
...and 4 more Serials

Citations by Year