Iterative Solution to a System of Matrix Equations
نویسندگان
چکیده
منابع مشابه
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...
متن کاملIterative solution of two matrix equations
We study iterative methods for finding the maximal Hermitian positive definite solutions of the matrix equations X + A∗X−1A = Q and X − A∗X−1A = Q, where Q is Hermitian positive definite. General convergence results are given for the basic fixed point iteration for both equations. Newton’s method and inversion free variants of the basic fixed point iteration are discussed in some detail for the...
متن کاملMINIMAL 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.
متن کاملIterative scheme to a coupled system of highly nonlinear fractional order differential equations
In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary conditions. To achieve this goal, we apply monotone iterative technique together with the method of upper and lower solutions. Also an error estimation is given to check the accuracy of th...
متن کاملNew 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/124979