Publications
- C.-H. Guo, Some results on sparse block factorization
iterative methods,
Linear Algebra Appl., 145 (1991), pp. 187-199.
- C.-H. Guo, Incomplete block factorization
preconditioning for linear
systems arising in the numerical solution of the Helmholtz equation,
Appl. Numer. Math., 19 (1996), pp. 495-508.
- C.-H. Guo and P. Lancaster,
Analysis and modification of Newton's
method for algebraic Riccati equations,
Math. Comp., 67 (1998),
pp. 1089-1105.
- C.-H. Guo, Newton's method for discrete algebraic
Riccati equations when the closed-loop matrix has eigenvalues
on the unit circle,
SIAM J. Matrix Anal. Appl., 20 (1998), pp. 279-294.
- C.-H. Guo, On the numerical solution of a nonlinear
matrix equation
in Markov chains,
Linear Algebra Appl., 288 (1999), pp. 175-186.
- C.-H. Guo, Incomplete block factorization
preconditioning for
indefinite elliptic problems,
Numer. Math., 83 (1999), pp. 621-639.
- C.-H. Guo and P. Lancaster,
Iterative solution of two matrix equations,
Math. Comp., 68 (1999), pp. 1589-1603.
- C.-H. Guo and A. J. Laub,
On a Newton-like method for solving
algebraic Riccati equations,
SIAM J. Matrix Anal. Appl., 21 (2000), pp. 694-698.
- C.-H. Guo and A. J. Laub,
On the iterative solution of a class of
nonsymmetric algebraic Riccati equations,
SIAM J. Matrix Anal. Appl.,
22 (2000), pp. 376-391.
- C.-H. Guo,
Iterative solution of a matrix Riccati equation arising in stochastic
control, Oper. Theory Adv. Appl.,
130 (2001), pp. 209-221.
- C.-H. Guo,
Convergence rate of an iterative method for a nonlinear matrix
equation, SIAM J. Matrix Anal. Appl.,
23 (2001), pp. 295-302.
- C.-H. Guo,
Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization
for M-matrices, SIAM J. Matrix Anal. Appl.,
23 (2001), pp. 225-242.
- C.-H. Guo,
Convergence analysis of the Latouche-Ramaswami algorithm for null recurrent
quasi-birth-death processes,
SIAM J. Matrix Anal. Appl., 23 (2002), pp. 744-760.
- C.-H. Guo,
A note on the minimal nonnegative solution of a nonsymmetric algebraic
Riccati equation,
Linear Algebra Appl., 357 (2002), pp. 299-302.
- C.-H. Guo,
On a quadratic matrix equation associated with an M-matrix,
IMA J. Numer. Anal., 23 (2003), pp. 11-27.
- C.-H. Guo,
Comments on a shifted cyclic reduction algorithm for quasi-birth-death
problems,
SIAM J. Matrix Anal. Appl., 24 (2003), pp. 1161-1166.
- C.-H. Guo,
Numerical solution of a quadratic eigenvalue problem,
Linear Algebra Appl., 385 (2004), pp. 391-406.
- C.-H. Guo and P. Lancaster,
Algorithms for hyperbolic quadratic eigenvalue problems,
Math. Comp., 74 (2005), pp. 1777-1791.
- C.-H. Guo,
Efficient methods for solving a nonsymmetric algebraic Riccati
equation arising in stochastic fluid models,
J. Comput. Appl. Math., 192 (2006), pp. 353-373.
- S. Fital and C.-H. Guo,
Convergence of the solution of a nonsymmetric matrix Riccati
differential equation to its stable equilibrium solution,
J. Math. Anal. Appl., 318 (2006), pp. 648-657.
- C.-H. Guo and N. J. Higham,
A Schur-Newton method for the matrix pth root and its inverse,
SIAM J. Matrix Anal. Appl., 28 (2006), pp. 788-804.
- C.-H. Guo and N. J. Higham,
Iterative solution of a nonsymmetric algebraic Riccati equation,
SIAM J. Matrix Anal. Appl., 29 (2007), pp. 396-412.
- C.-H. Guo, B. Iannazzo, and B. Meini,
On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati
equation, SIAM J. Matrix Anal. Appl., 29 (2007), pp. 1083-1100.
- C.-H. Guo,
A new class of nonsymmetric algebraic Riccati equations,
Linear Algebra Appl., 426 (2007), pp. 636-649.
- S. Fital and C.-H. Guo,
A note on the fixed-point iteration for the matrix equations
$X\pm A^*X^{-1}A=I$,
Linear Algebra Appl., 429 (2008), pp. 2098-2112.
- C.-H. Guo, N. J. Higham, and F. Tisseur,
Detecting and solving hyperbolic quadratic eigenvalue problems,
SIAM J. Matrix Anal. Appl., 30 (2009), pp. 1593-1613.
- C.-Y. Chiang, E. K.-W. Chu, C.-H. Guo, T.-M. Huang, W.-W. Lin,
and S.-F. Xu,
Convergence analysis of the doubling algorithm for several nonlinear
matrix equations in the critical case,
SIAM J. Matrix Anal. Appl., 31 (2009), pp. 227-247.
- C.-H. Guo, N. J. Higham, and F. Tisseur,
An improved arc algorithm for detecting definite Hermitian pairs,
SIAM J. Matrix Anal. Appl., 31 (2009), pp. 1131-1151.
- C.-H. Guo,
On Newton's method and Halley's method for the principal pth
root of a matrix,
Linear Algebra Appl., 432 (2010), pp. 1905-1922.
- C.-H. Guo and W.-W. Lin,
Convergence rates of some iterative methods for nonsymmetric algebraic
Riccati equations arising in transport theory,
Linear Algebra Appl., 432 (2010), pp. 283-291.
- C.-H. Guo and W.-W. Lin,
The matrix equation $X+A^TX^{-1}A=Q$ and its application in nano research
, SIAM J. Sci. Comput., 32 (2010), pp. 3020-3038.
- C.-H. Guo and W.-W. Lin,
Solving a structured quadratic eigenvalue problem by a structure-preserving
doubling algorithm, SIAM J. Matrix Anal. Appl., 31 (2010),
pp. 2784-2801.
- C.-H. Guo, Y.-C. Kuo, and W.-W. Lin,
Complex symmetric stabilizing solution of the matrix equation
$X+A^TX^{-1}A=Q$,
Linear Algebra Appl., 435 (2011), pp. 1187-1192.
- C.-H. Guo, Y.-C. Kuo, and W.-W. Lin,
On a nonlinear matrix equation arising in nano research,
SIAM J. Matrix Anal. Appl., 33 (2012), pp. 235-262.
- C.-H. Guo, Y.-C. Kuo, and W.-W. Lin,
Numerical solution of nonlinear matrix equations arising
from Green's function calculations in nano research,
J. Comput. Appl. Math., 236 (2012), pp. 4166-4180.
- C.-H. Guo,
Iterative methods for a linearly perturbed algebraic
matrix Riccati equation arising in stochastic control,
Numer. Funct. Anal. Optim., 34 (2013), pp. 516-529.
- C.-H. Guo,
Monotone convergence of Newton-like methods for
M-matrix algebraic Riccati equations,
Numer. Algorithms, 64 (2013), pp. 295-309.
- C.-H. Guo,
On algebraic Riccati equations associated with M-matrices,
Linear Algebra Appl., 439 (2013), pp. 2800-2814.
- C.-H. Guo, C. Liu, and J. Xue,
Performance enhancement of doubling algorithms for a class of complex
nonsymmetric algebraic Riccati equations, IMA J. Numer. Anal., 35 (2015),
pp. 270-288.
- C.-H. Guo and B. Yu,
A convergence result for matrix Riccati differential equations associated with
M-matrices,
Taiwanese J. Math., 19 (2015), pp. 77-89.
- C.-H. Guo and D. Lu,
On algebraic Riccati equations associated with
regular singular M-matrices,
Linear Algebra Appl., 493 (2016), pp. 108-119.
- C.-S. Liu, C.-H. Guo, and W.-W. Lin,
A positivity preserving inverse
iteration for finding the Perron pair of an irreducible nonnegative third
order tensor, SIAM J. Matrix Anal. Appl., 37 (2016), pp. 911-932.
- C. Chorianopoulos and C.-H. Guo,
Numerical range
for the matrix
exponential function, Electron. J. Linear Algebra, 31 (2016), pp. 633-645.
- C.-S. Liu, C.-H. Guo, and W.-W. Lin,
Newton-Noda
iteration for finding
the Perron pair of a weakly irreducible nonnegative tensor, Numer. Math.,
137 (2017), pp. 63-90.
- D. Lu and C.-H. Guo,
Monotonicity and positivity of coefficients of power
series expansions associated with Newton and Halley methods for the matrix
pth root, Linear Algebra Appl., 556 (2018), pp. 131-143.
- C.-H. Guo, W.-W. Lin, and C.-S. Liu,
A
modified Newton iteration for finding nonnegative Z-eigenpairs
of a nonnegative tensor, Numer. Algorithms,
80 (2019), pp. 595-616.
- C.-H. Guo,
Explicit convergence regions of Newton's method and Chebyshev's
method for the matrix pth root, Linear Algebra Appl.,
583 (2019), pp. 63-76.
- C.-H. Guo and D. Lu,
A study of Schroder's method for the matrix pth root using power series expansions, Numer. Algorithms, 83 (2020),
pp. 265-279.
- D. Lu and C.-H. Guo,
Explicit p-dependent convergence regions of Newton's method for the matrix pth root, Appl. Math. Lett.,
122 (2021), Paper No. 107566, 6 pp.
- C.-H. Guo, W.-W. Lin, and C.-S. Liu,
A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors, Appl. Math. Lett., 136 (2023), Paper No. 108454, 6 pp.
- C.-H. Guo,
Computing the extremal nonnegative solutions of the M-tensor equation with a nonnegative right-side vector, J. Comput. Appl. Math., 438 (2024), Paper No. 115559, 14 pp.
- C.-H. Guo,
A note on Newton-Noda iteration for computing
the Perron pair of a weakly irreducible nonnegative tensor, Appl. Math. Lett., 147 (2024), Paper No. 108861, 6 pp.
- C.-H. Guo,
Comments on finite termination of the generalized Newton method for absolute value equations, Optim. Lett., to appear.
last updated: April 18, 2024