期刊论文

Zhang, Li

英文

Journal of Computational and Applied Mathematics

0377-0427

2013

253

200-203

10.1016/j.cam.2013.04.007

This work was supported by the NSF foundation ( 10901026 ) of China and The Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities.

本校为第一且通讯机构

In this paper, based on the damped Newton method, we present an inversion-free iterative method with a stepsize parameter for solving the nonlinear matrix equation X+AX-αA=Q, where Q is a Hermitian positive definite matrix and α≥1. The proposed method is an extension of Algorithm 2.2 in [Z. Peng, S.M. El-Sayed, X. Zhang, Iterative methods for the extremal positive definite solution of the matrix equation X+AX-αA=Q, J. Comput. Appl. Math. 200 (2007) 520-527]. Preliminary numerical results show that the proposed method can improve n...