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An Iteration Method for the Anti-symmetric Solutions and Least-norm Solution of Matrix Equation AXB=C

Kaiyuan Zhang

Abstract

An iteration method is constructed to solve the matrix equation AXB=C over anti-symmetric X.By this iteration method,the solvability of the equation over anti-symmetric X can be determined automatically,when the equation is consistent over anti-symmetric X,its least-norm anti-symmetric solution can be obtained by choosing a special kind of initial iteration matrix.

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Available abstract

Key concepts: Mathematics, Symmetric matrix, Norm (philosophy), Iterative method, Matrix (chemical analysis), Applied mathematics, Mathematical analysis, Mathematical optimization