双对角占优矩阵的对角Schur余

On Diagonal-Schur Complements for Doubly Diagonally Dominant Matrices

根据双对角占优矩阵的Schur余仍然是双对角占优矩阵,可以猜想双对角占优矩阵的对角Schur余也仍然是双对角占优矩阵.进一步讨论了|α|=1的情形.

The Schur complements of doubly diagonally dominant matrices are also doubly diagonally dominant matrices. In this paper, we conjecture that the diagonal -Schur complements of doubly diagonally dominant matrices are also doubly diagonally dominant matrices. It is proved that the conjecture is true if ｜α｜ = 1