On the nonlinear matrix equation Xp = A#t(MT (X–1 + B)–1 M)

2020 ◽  
pp. 1-14
Author(s):  
Hosoo Lee ◽  
Jie Meng
Keyword(s):  
Matrix Equation ◽  
Nonlinear Matrix Equation ◽  
Nonlinear Matrix

scholarly journals On the Positive Definite Solutions of a Nonlinear Matrix Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1434-1438
Author(s):  
Ming Hui Wang ◽  
Chun Yan Liang ◽  
Shan Rui Hu
Keyword(s):  
Fixed Point ◽  
Matrix Equation ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Positive Definite ◽  
Matrix Inversion ◽  
Nonlinear Matrix Equation ◽  
Nonlinear Matrix

In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case are discussed. An algorithm that avoids matrix inversion with the case is proposed.

scholarly journals The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q

2013 ◽  
Vol 2013 (1) ◽  
pp. 229 ◽  
Author(s):  
Sarah Vaezzadeh ◽  
Seyyed Vaezpour ◽  
Reza Saadati ◽  
Choonkil Park
Keyword(s):  
Iterative Methods ◽  
Matrix Equation ◽  
Nonlinear Matrix Equation ◽  
Nonlinear Matrix

A novel iterative method for the solution of a nonlinear matrix equation

2020 ◽  
Vol 153 ◽  
pp. 503-518 ◽  
Author(s):  
Raziyeh Erfanifar ◽  
Khosro Sayevand ◽  
Hamid Esmaeili
Keyword(s):  
Iterative Method ◽  
Matrix Equation ◽  
Nonlinear Matrix Equation ◽  
Nonlinear Matrix
Sign in / Sign up

Export Citation Format

Share Document