严格对角占优矩阵的三角-schur补

Triangle-schur Complements of Diagonally Dominant Matrix

引入了三角-schur补的定义.一方面,利用H-矩阵特征证明了严格对角占优矩阵的三角-schur补仍然是严格对角占优矩阵.另一方面给出了矩阵A对应于A(α)的三角-schur补的逆的无穷范数上界的估计,同时得出了结论:‖A/°A (a)_θ^(-1)‖∞≤‖A^(-1)‖∞.

The definition of triangle-schur complements is introduced.On the one hand,theproperties of H-matrix is used to prove the triangle schur complements of strictly diagonally dominant matrix is strictly diagonally dominant matrix.On the other hand,the upper bound of the infinity for the inverse of A（α）is obtained.At the same time,the result：‖A/°A（a）_θ^（-1）‖∞ ≤‖A^（-1）‖∞is got.