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(广义)块对角占优矩阵的奇异与非奇异性(英文)
Nonsingularity/Singularity of (Generalized) Block Diagonally Dominant Matrices
【摘要】 本文得到了块对角占优矩阵奇异与非奇异的几个充分必要条件,并由此得到了广义块对角占优矩阵奇异与非奇异的一些充分必要的判定条件。
【Abstract】 Necessary and sufficient conditions for a matrix to be singular/nonsingular are obtained under the assumption that the matrix is a block diagonally dominant (BDD) matrix. For a generalized block diagonally dominant (GBDD) matrix, necessary and sufficient conditions are obtained based on the results for BDD matrices.
【关键词】 块对角占优性;
奇异性;
广义块对角占优性;
【Key words】 block diagonal dominance; nonsingularity; generalized block diagonal dominance;
【Key words】 block diagonal dominance; nonsingularity; generalized block diagonal dominance;
【基金】 NSFC (10771030);Scientific and Technological Key Project of Chinese Ministry ofEducation (107098);Project for Academic Leader and Group of UESTC
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2009年02期
- 【分类号】O151.21
- 【下载频次】139