EPr Solution to a System of Matrix Equations

Solution to a System of Matrix Equations

A square complex matrix A is called if it can be written in the form EP   1 0 U A U  with U being fixed unitary and 1 A being arbitrary matrix in . We give necessary and sufficient conditions for the existence of the solution to the system of complex matrix equation r r   r EP , AX B XC D   and present an expression of the solution to the system when the solvability conditions are satisf...

MINIMAL SOLUTION OF INCONSISTENT FUZZY MATRIX EQUATIONS

Fuzzy liner systems of equations, play a major role in several applications in various area such as engineering, physics and economics. In this paper, we investigate the existence of a minimal solution of inconsistent fuzzy matrix equation. Also some numerical examples are considered.  

New solution of fuzzy linear matrix equations

In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel.

A new approach to the numerical solution of system of dual fuzzy polynomial equations

On the numerical solution of generalized Sylvester matrix equations

‎The global FOM and GMRES algorithms are among the effective‎ ‎methods to solve Sylvester matrix equations‎. ‎In this paper‎, ‎we‎ ‎study these algorithms in the case that the coefficient matrices‎ ‎are real symmetric (real symmetric positive definite) and extract‎ ‎two CG-type algorithms for solving generalized Sylvester matrix‎ ‎equations‎. ‎The proposed methods are iterative projection metho...