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A DIRECT ALGORITHM FOR DISTINGUISHING NONSINGULAR M-MATRIX AND H-MATRIX

A DIRECT ALGORITHM FOR DISTINGUISHING NONSINGULAR M-MATRIX AND H-MATRIX
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摘要 A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm. A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm.
作者 李耀堂 朱艳
基金 Foundation item: This work is supported by the Science Foundations of the Education Department of Yunnan Province (03Z169A) the Science Foundatons of Yunnan University (2003Z013B).
关键词 计算方法 非奇M-矩阵 H-矩阵 线性代数 nonsingular M-matrix, nonsingular H-matrix, direct algorithm.
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参考文献4

  • 1Kohno T,Niki H,Sawami H,Gao Y M.An iterative test for-matrix[].Journal of Computational Mathematics.2000
  • 2Ojiro K,Niki H,Usui M.A new criterion for the H-matrix property[].Journal of Computational and Applied Mathematics.2003
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  • 4Li L.On the iterative criterion for generalized diagonally dominant matrices.Japan Soc. Indust.Appl. Math[].Tokyo.2002

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