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严格对角占优矩阵的行列式估计 被引量:6

ESTIMATION OF DETERMINENT FOR STRICTLY DIAGONAL-DOMINANT MATRIX
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摘要 本文研究了严格对角占优矩阵的行列式估计问题,利用矩阵的逐次降阶法获得了严格对角占优矩阵的几个行列式估计式,并对特殊的严格对角占优矩阵的情形进行了加强. In this paper,we study the estimation of determinent on strictly diagonal-dominant matrix.Using the way of reducing order of matrix one by one,we obtain some estimation formulas of determinent on strictly diagonal-dominant matrix,and strengthen corresponding results for some special cases of such matrix.
出处 《数学杂志》 CSCD 北大核心 2008年第6期673-676,共4页 Journal of Mathematics
关键词 矩阵 行列式 严格对角占优矩阵 不等式 Matrix Determinent Strictly diagonal-dominant
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  • 1张成毅,李耀堂.对角占优矩阵与H-阵和M-阵的判定[J].广西科学,2005,12(3):161-164. 被引量:3
  • 2石钟慈,王伯英.某些类矩阵的行列式,特征值以及条件数界限的若干估计[J].数学学报,1965,15(3):326-341.
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  • 5HUANG T Z, LIU X P. Estimations for certain determinants[J]. Comput. Math. Appl., 2005, 50:1677- 1684.
  • 6LI W, CHEN Y M. Some new two-sided bounds for determinants of diagonally dominant matrices[J]. J. Inequal. Appl., 2012, 61, 2012.
  • 7Brent R P, Osborn J H, Smith W D. Note on best possible bounds for determinants of matrices close to the identity matrix[J]. Linear Algebra Appl., 2015, 466:21-26.
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  • 10HUANG T Z, LIU X P. Estimations for certain determinants [ J ]. Computers and mathematics with applications,2005,50(10) : 1677 - 1684.

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