Diagonal update method for a quadratic matrix equation

摘要

The quadratic matrix equation AX(2) + 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. (c) 2016 Elsevier Inc. All rights reserved.