关于矩阵的奇异值偏序

The Value Partial Orderings of Matrices

研究矩阵的奇异值偏序,给出了矩阵的奇异值偏序的等价刻画和性质,指出了相关文献关于矩阵*序刻画不真,利用强同时奇异值分解给出了矩阵*-序的刻画.

The characterizations of valuse partial ordering obtained, the relation between the partial ordering with minus partial ordering and partial ordering is discussed. We point out a mistaken of partial ordering of matrices referring to singular values or eigenvalues, and a characterisation of the star partial ordering is given using the strong simulatious singular value decomposition of the matrices.