Solvability conditions for the matrix equation X T DX plus AX plus X T B plus C=0

被引：3
|
作者：
Vorontsov, Yu. O. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 04期
关键词：
quadratic matrix equation; symmetric matrix; square root of a matrix; solvability of a matrix equation;
D O I：
10.1134/S096554251504017X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under certain restrictions on the matrix coefficients of the quadratic matrix equation X (T) DX + AX + X (T) B + C = 0, solvability conditions for this equation are given, and its relationship with an equation of the form XAX = B is found. Certain specific types of matrix coefficients obeying the above solvability conditions are indicated.
引用
收藏
页码：546 / 548
页数：3
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