The Explicit Solution of the Matrix Equation AX-XB=C THE EXPLICIT SOLUTION OF THE MATRIX EQUATION AX - XB = C To the memory of Prof. Guo Zhongheng期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The Explicit Solution of the Matrix Equation AX-XB=C

作者姓名：	陈玉明肖衡

摘要：	ＴＨＥＥＸＰＬＩＣＩＴＳＯＬＵＴＩＯＮＯＦＴＨＥＭＡＴＲＩＸＥＱＵＡＴＩＯＮＡＸ－ＸＢ＝Ｃ──ＴｏｔｈｅｍｅｍｏｒｙｏｆＰｒｏｆ．ＧｕｏＺｈｏｎｇｈｅｎｇＣｈｅｎＹｕｍｉｎｇ（陈玉明）ＸｉａｏＨｅｎｇ（肖衡）（ＲｅｃｅｉｖｅｄＦｅｂ．．２８．１９９５...
THE EXPLICIT SOLUTION OF THE MATRIX EQUATION AX - XB = C To the memory of Prof. Guo Zhongheng

Chen Yuming , Xiao Heng.The Explicit Solution of the Matrix Equation AX-XB=C[J].Applied Mathematics and Mechanics(English Edition),1995(12).

Authors:	Chen Yuming Xiao Heng

Institution:	Chen Yuming ; Xiao Heng

Abstract:	Almost all of the existing results on the explicit solutions of the matrix equationAX-XB= C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and B. we shall give outthe explicit general solutions of this equation by using the notions of eigenprojectionsThe results we obtained are applicable not only to any cases of eigenvalues regardlessof their multiplicities but also to the discussion of the general case of this equation

Keywords:	matrix cquation explicit solution eigenprojection matrix squareproduct
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