矩阵方程AXB=C的反对称解和极小范数反对称解  

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

作　　者：于蕾[1] 张凯院[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《数学的实践与认识》2007年第8期145-151,共7页Mathematics in Practice and Theory

基　　金：陕西省自然科学基金(2004CS110002)

摘　　要：建立了求矩阵方程AXB=C反对称解的迭代方法.使用该方法不仅能够判断反对称解的存在性,而且在有反对称解时,能够在有限步迭代计算之后得到反对称解.选取特殊的初始矩阵,可求得极小范数反对称解.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.

关 键 词：矩阵方程 反对称解 极小范数反对称解 迭代方法 

分 类 号：O151.21[理学—数学]