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广义严格对角占优矩阵新的判定准则
引用本文:邵新慧,沈海龙,高益明,李长军. 广义严格对角占优矩阵新的判定准则[J]. 高等学校计算数学学报, 2004, 26(3): 284-288
作者姓名:邵新慧  沈海龙  高益明  李长军
作者单位:东北大学数学系,沈阳,110004;东北师范大学数学系,吉林,130024
基金项目:国家教育委员会骨干教师基金,辽宁省自然科学基金(20022021)资助项目.
摘    要:In this paper we provide the new criteria for a strictly generalized diagonally dominant matrix, and it proves by an example that the results of this paper extend the results in[6]. In addition, we obtain the criteria of the nonsingular M-matrix.

关 键 词:判定准则 广义严格对角占优矩阵 非奇异M-矩阵 线性代数

NEW CRITERIA FOR STRICTLY GENERALIZED DIAGONALLY DOMINANT MATRIX
Shao Xinhui Shen Hailong. NEW CRITERIA FOR STRICTLY GENERALIZED DIAGONALLY DOMINANT MATRIX[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(3): 284-288
Authors:Shao Xinhui Shen Hailong
Abstract:In this paper vve provide the new criteria for a strictly generalized diagorially dominant matrix, and it proves by an example that the results of this paper extend the results in [6]. In addition, we obtain the criteria of the nonsingular M-matrix.
Keywords:strictly diagonally dominant matrix   strictly generalized diagonally dominant matrix   Nonnegative matrix   Nonsingular M-matrix.
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