Diagonal update method for a quadratic matrix equation

Young-Jin Kim and Hyun-Min Kim

Applied Mathematics and Computation, 2016, vol. 283, issue C, 208-215

Abstract: 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.

Keywords: Quadratic matrix equation; M-matrix; Fixed-point iteration; Bernoulli’s method; Diagonal update method (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:208-215

DOI: 10.1016/j.amc.2016.02.016

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