Sufficient conditions for the unique solution of a class of new Sylvester-like absolute value equation

2021/01/28 by Wu, Shi-Liang, Li, Cui-Xia
#FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2101.12575

Abstract

In this paper, a class of new Sylvester-like absolute value equation (AVE) AXB-|CXD|=E with A,C∈ ℝ^{m× n}, B,D∈ ℝ^{p× q} and E∈ ℝ^{m× q} is considered, which is quite distinct from the published work by Hashemi [Applied Mathematics Letters, 112 (2021) 106818]. Some sufficient conditions for the unique solution of the Sylvester-like AVE are obtained.

Related

• A proof of Sylvester's theorem
• On the unique solution of the generalized absolute value equation
• The Unique Solvability Conditions for the Generalized Absolute Value Equations
• On the Sylvester-like matrix equation AX+f(X)B=C
• An Overview of Absolute Value Equations: From Theory to Solution Methods and Challenges