关于r-块对角占优矩阵的对角Schur补  

On diagonal Schur complement of r-block diagonally do minant matrices

作　　者：方秀男[1] 汤凤香[1] 

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《渤海大学学报（自然科学版）》2010年第2期143-147,共5页Journal of Bohai University:Natural Science Edition

基　　金：佳木斯大学科研基金资助项目(No:L2008-059)

摘　　要：对于r-块对角占优矩阵的对角Schur补的研究,主要是利用矩阵范数和分块矩阵的相关理论,将其由点元素推广到块元素,进而证明了矩阵分块后块元素的r-块严格对角占优阵的对角Schur补仍是r-块严格对角占优阵,同时利用连续性证明了r-块对角占优阵的对角Schur补还是r-块对角占优阵。For the study of diagonally Schur complement of r-block diagonally dominant matrices ,it mainly usos theories of matrix norm and block matrix,and then generalizes some conclusions from point elements to block elements. The paper mainly proves diagonally Schur complement of r-block strictly diagonally dominant matrices are still r-block strictly diagonally dominant matrices , and proved that the diagonally Schur complement of r-block diagonally dominant matrices are still r-block diagonally dominant matrices by a continuity argument.

关 键 词：r-块严格对角占优阵 对角Schur补 矩阵范数 M-矩阵 

分 类 号：O151[理学—数学]