Diagonal update method for a quadratic matrix equation
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摘要
The quadratic matrix equation AX2+BX+C=0 has been studied in many researches. The sufficient condition for the existence of the primary solution is already provided where the equation arose from an overdamped vibrating system with M-matrix coefficients. The Bernoulli’s method can not be modified by relaxation in this equation. In this paper, we will introduce the diagonal update method and modify the Bernoulli’s method.
论文关键词：Quadratic matrix equation,M-matrix,Fixed-point iteration,Bernoulli’s method,Diagonal update method
论文评审过程：Received 3 May 2015, Revised 23 November 2015, Accepted 7 February 2016, Available online 12 March 2016, Version of Record 12 March 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.02.016
