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

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摘要

In this paper, we study the matrix equation AX2+BX+C=0, where A,B and C are square matrices. We give two improved algorithms which are better than Newton’s method with exact line searches to calculate the solution. Some numerical examples are reported to illustrate our algorithms.

论文关键词：65F30,65H10,39B42,Quadratic matrix equation,Solvent,Newton’s method,Exact line search,S˘amanskii technique

论文评审过程：Received 10 April 2007, Revised 15 September 2007, Available online 28 December 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.12.018