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严格双对角占优矩阵‖A^(-1)‖_∞的上界估计 被引量:4

An upper bound for ‖A^(-1)‖_∞ of strictly doubly diagonally dominant matrices
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摘要 设A为严格双对角占优矩阵,给出了‖A-1‖∞的上界估计,特别地,当A为严格对角占优矩阵,改进了现有的相关结果. Let A be a strictly doubly diagonally dominant matrix, we estimate an upper bound for ‖A^-1‖∞. In particular, for a strictly diagonally dominant matrix, we improve some related results.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第5期639-642,共4页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2006J0180)
关键词 严格对角占优矩阵 严格双对角占优矩阵 极大行和矩阵范数 strictly diagonally dominant matrix strictly doubly diagonally dominant matrix maximum row sum matrix norm
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参考文献6

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  • 2Varah J M. A lower bound for the smallest singular value of a matrix[J]. Linear Algebra and Its Applications, 1975, 11 : 3 - 5.
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