Developing HSS iteration schemes for solving the quadratic matrix equation AX2+BX+C=0$AX^{2}+BX+C=0$

Solving system of nonlinear matrix equations over Hermitian positive definite matrices

(2022) Raziyeh Erfanifar et al.   LINEAR & MULTILINEAR ALGEBRA

An efficient inversion-free method for solving the nonlinear matrix equation Xp+∑j=1mAj*X−qjAj=Q

(2022) Raziyeh Erfanifar et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system

(2021) Wenli Wang et al.   APPLIED NUMERICAL MATHEMATICS

On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation

(2021) Mehdi Dehghan et al.   APPLIED NUMERICAL MATHEMATICS

Modified QHSS iteration methods for a class of complex symmetric linear systems

(2020) Fang Chen et al.   APPLIED NUMERICAL MATHEMATICS

HSS-like method for solving complex nonlinear Yang–Baxter matrix equation

(2020) Mehdi Dehghan et al.   ENGINEERING WITH COMPUTERS

A novel iterative method for the solution of a nonlinear matrix equation

(2020) Raziyeh Erfanifar et al.   APPLIED NUMERICAL MATHEMATICS

Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation

(2020) Mehdi Dehghan et al.   APPLIED NUMERICAL MATHEMATICS

Multi-parametric iterative algorithms for discrete periodic Lyapunov matrix equations

(2019) Ai-Guo Wu et al.   IET Control Theory and Applications

On the stochastic linear quadratic control problem with piecewise constant admissible controls

(2019) Vasile Drăgan et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Lanczos version of BCR algorithm for solving the generalised second-order Sylvester matrix equation E V F + G V H + B V C = D W E + M

(2017) Masoud Hajarian   IET Control Theory and Applications

Current-estimation-based iterative algorithms for solving periodic Lyapunov matrix equations

(2016) Ai-Guo Wu et al.   IET Control Theory and Applications

Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol

(2015) Marco Donatelli et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Efficient computation of enclosures for the exact solvents of a quadratic matrix equation

(2015) Behnam Hashemi et al.   Electronic Journal of Linear Algebra

Perturbation Theory for Linearly Perturbed Algebraic Riccati Equations

(2014) Vejdi I. Hasanov   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

A GENERALIZED PRECONDITIONED MHSS METHOD FOR A CLASS OF COMPLEX SYMMETRIC LINEAR SYSTEMS

(2013) Mehdi Dehghan et al.   Mathematical Modelling and Analysis

Decoupled Stein iterations to the discrete-time generalized Riccati equations

(2012) I. Ivanov et al.   IET Control Theory and Applications

On preconditioned MHSS iteration methods for complex symmetric linear systems

(2011) Zhong-Zhi Bai et al.   NUMERICAL ALGORITHMS

Modified HSS iteration methods for a class of complex symmetric linear systems

(2010) Zhong-Zhi Bai et al.   COMPUTING

Computation of the stabilizing solution of game theoretic Riccati equation arising in stochastic H  ∞  control problems

(2010) Vasile Dragan et al.   NUMERICAL ALGORITHMS

On HSS-based iteration methods for weakly nonlinear systems

(2009) Zhong-Zhi Bai et al.   APPLIED NUMERICAL MATHEMATICS

Improved Newton’s method with exact line searches to solve quadratic matrix equation

(2008) Jian-hui Long et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On inexact hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems

(2007) Zhong-Zhi Bai et al.   LINEAR ALGEBRA AND ITS APPLICATIONS