منابع مشابه
On the M-xx Equation 1
Some exact solutions of the (2+1)-dimensional integrable classical continuous isotropic Heisenberg spin chain (the M-XX equation) are obtained by using Hirota's method. These solutions are characterized by an integer topological charge.
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A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the ...
متن کاملOn the matrix equation
Article history: Received 8 July 2012 Accepted 22 October 2012 Available online 20 December 2012 Submitted by Froilan Dopico AMS classification: 15A24 15A21
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It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C....
متن کاملOn a quadratic matrix equation associated with an M-matrix∗
We study the quadratic matrix equation X2 − EX − F = 0, where E is diagonal and F is an M -matrix. Quadratic matrix equations of this type arise in noisy Wiener–Hopf problems for Markov chains. The solution of practical interest is a particular M -matrix solution. The existence and uniqueness of M -matrix solutions and numerical methods for finding the desired M -matrix solution are discussed b...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1962
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500014681