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On the Matrix Equations of Higher Degrees

On the Matrix Equations of Higher Degrees
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摘要 A generalm atrix equation ∑m s= 0 ∑s t= 0 XtAstXs- t= 0 in unknow n X ofdegree m is con- sidered. The solvability of the equation w ithin som e restricted subsets of n×n m atrices is dis- cussed. The m ethods offinding the set ofsolutions in the subsetfor the equation are also provid- ed. A generalm atrix equation ∑m s= 0 ∑s t= 0 XtAstXs- t= 0 in unknow n X ofdegree m is con- sidered. The solvability of the equation w ithin som e restricted subsets of n×n m atrices is dis- cussed. The m ethods offinding the set ofsolutions in the subsetfor the equation are also provid- ed.
出处 《工科数学》 1999年第4期20-27,共8页 Journal of Mathematics For Technology
关键词 高阶矩阵方程 交换关系 Cauchy-Schwarz不等方程 限制子集 m atrix equations, com m uting relation, Cauchy-Schw arz Inequality

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