矩阵方程组AX=B, CXD=E的广义自反解及其最佳逼近
he generalized reflexive solutions of matrix equations AX=B,CXD=E and the optimal approximation
对于给定的A,B,C,D,E,通过奇异值分解和广义奇异值分解我们得到了AX=B,AXB=C有广义自反解的充要条件, 给出了一般解的表达式,在此基础上我们给出了最佳逼近解的表达式.
For given matrices A,B,C,D,E, we derive the necessary and sufficient conditions and expression for general solutions of problem I by using singular-value decomposition and generalized singular-value decomposition. Moreover, the optimal approximation is provided.
邓符花、尤传华
数学
广义自反矩阵奇异值分解广义奇异值分解最佳逼近
Generalized reflexive matrixsingular-value decompositionGeneralized singular-valuedecompositionOptimal approximation
邓符花,尤传华.矩阵方程组AX=B, CXD=E的广义自反解及其最佳逼近[EB/OL].(2009-03-03)[2025-08-24].http://www.paper.edu.cn/releasepaper/content/200903-74.点此复制
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