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International Journal of Computer Mathematics Volume 60, 1996 - Issue 1-2
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Original Articles

An extension of the criteria for generalized diagonally dominant matrices

Masunori Harada Department of Applied Mathematics, Okayama University of Science, Okayama, 700, Japan
,
Mastaka Usui Department of Applied Mathematics, Okayama University of Science, Okayama, 700, Japan
&
Hiroshi Niki Department of Applied Mathematics, Okayama University of Science, Okayama, 700, Japan
Pages 115-119 | Received 20 Apr 1995, Published online: 19 Mar 2007

Citations (17)

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Read on this site (3)

Yi-Ming Gao, Xiao-Yan Liu & Masato Niki. (2000) New criterion for generalized diagonally dominant matrices and M-matrices. International Journal of Computer Mathematics 75:3, pages 271-282.
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Lei Li, Hiroshi Niki & Morito Sasanabe. (1999) A nonparameter criterion for generalized diagonally dominant matrices. International Journal of Computer Mathematics 71:2, pages 267-275.
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Emiko Ishiwata, Yoshiaki Muroya, Masunori Harada & Hiroshi Niki. (1998) New criteria for generalized diagonally dominant matrices. International Journal of Computer Mathematics 69:3-4, pages 391-396.
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Articles from other publishers (14)

Jinrui Guan, Linzhang Lu, Ren-Cang Li & Rongxia Shao. (2016) Self-Corrective Iterations (SCI) for generalized diagonally dominant matrices. Journal of Computational and Applied Mathematics 302, pages 285-300.
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Yin Ting & Wang Jie. (2013) The positive definiteness judgment of Hessian matrix and its application in Hamilton realization of multimachine power system. IEEJ Transactions on Electrical and Electronic Engineering 8:S1, pages S47-S52.
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M. Alanelli & A. Hadjidimos. (2008) A new iterative criterion for H-matrices: The reducible case. Linear Algebra and its Applications 428:11-12, pages 2761-2777.
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Anqi He & Jianzhou Liu. (2008) A new non-parameter criterion for H-matrices. Computers & Mathematics with Applications 55:6, pages 1148-1153.
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Anqi He & Jianzhou Liu. (2007) A parallel iterative criterion for H-matrices. Applied Mathematics and Computation 190:1, pages 1-5.
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Qingming Xie, Anqi He & Jianzhou Liu. (2007) On the iterative method for H-matrices. Applied Mathematics and Computation 189:1, pages 41-48.
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M. Alanelli & A. Hadjidimos. (2007) On iterative criteria for H- and non-H-matrices. Applied Mathematics and Computation 188:1, pages 19-30.
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Jianzhou Liu & Anqi He. (2007) An interleaved iterative criterion for H-matrices. Applied Mathematics and Computation 186:1, pages 727-734.
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M. Alanelli & A. Hadjidimos. (2007) A New Iterative Criterion for H‐Matrices. SIAM Journal on Matrix Analysis and Applications 29:1, pages 160-176.
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Jianzhou Liu & Anqi He. (2006) A new algorithmic characterization of H-matrices. Applied Mathematics and Computation 183:1, pages 603-609.
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A Hadjidimos. (2004) An extended compact profile iterative method criterion for sparse H-matrices. Linear Algebra and its Applications 389, pages 329-345.
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Keiko Ojiro, Hiroshi Niki & Masataka Usui. (2003) A new criterion for the H-matrix property. Journal of Computational and Applied Mathematics 150:2, pages 293-302.
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Lei Li. (2002) On the Iterative Criterion for Generalized Diagonally Dominant Matrices. SIAM Journal on Matrix Analysis and Applications 24:1, pages 17-24.
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Toshiyuki Kohno, Hiroshi Niki, Hideo Sawami & Yi-ming Gao. (2000) An iterative test for H-matrix. Journal of Computational and Applied Mathematics 115:1-2, pages 349-355.
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