论文标题
同时进行对角线和通勤矩阵的SVD
Simultaneous Diagonalization and SVD of Commuting Matrices
论文作者
论文摘要
我们提出了一种已知方法的矩阵版本，该方法构建了两个可对角色的通勤矩阵的常见特征向量，从而使其同时对角线化。这些矩阵可能具有大于1的多重性的简单特征值。还处理了一类通勤矩阵的单数值分解（SVD）。检查行/列置换的效果。给出了例子。
We present a matrix version of a known method of constructing common eigenvectors of two diagonalizable commuting matrices, thus enabling their simultaneous diagonalization. The matrices may have simple eigenvalues of multiplicity greater than one. The singular value decomposition (SVD) of a class of commuting matrices also is treated. The effect of row/column permutation is examined. Examples are given.
