For a given generalized reflection matrix P,the reflexive and anti-reflexive unitary solutions to matrix equa-tions AX=B and XC=D with respect to generalized reflection matrix P are investigated.By using singular value decomposi-tion and spectral decomposition of symmetric matrix,the explicit expressions for the constraint solutions mentioned above are obtained.Finally,numerical examples are presented to illustrate and explain our results.
关键词
约束解/谱分解/奇异值分解/(反)自反矩阵/酉矩阵
Key words
constrained solutions/spectral decomposition/singular value decomposition/(anti-)reflexive matrix/unita-ry matrix
维普
万方数据