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International Journal of Computer Mathematics Volume 85, 2008 - Issue 7
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Original Articles

Simple criteria for generalized diagonally dominant matrices

Jianzhou Liu Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. ChinaCorrespondence[email protected]
&
Anqi He Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China
Pages 1065-1072 | Received 25 May 2006, Accepted 21 May 2007, Published online: 04 Mar 2011

References

  • Gan , T. B. and Huang , T. Z. 2003 . Simple criteria for nonsingular H-matrices . Linear Algebr. Appl. , 374 : 317 – 326 .
  • Gao , Y. and Wang , X. 1992 . Criteria for generalized diagonally dominant matrices . Linear Algebr. Appl. , 169 : 257 – 268 .
  • Huang , T. Z. 1995 . A note on generalized diagonally dominant matrices . Linear Algebr. Appl. , 225 : 237 – 242 .
  • Kohno , T. 2000 . An iterative test for H-matrix . Int. J. Comput. Math. , 115 : 349 – 355 .
  • Li , B. 1998 . An iterative criterion for H-matrices . Linear Algebr. Appl. , 271 : 179 – 190 .
  • Li , L. , Niki , H. and Sasanabc , M. 1999 . A nonparameter criterion for generalized diagonally dominant matrices . Int. J. Comput. Math. , 71 : 267 – 275 .
  • Ojiro , K. , Niki , H. and Usui , M. 2003 . A new criteria for the H-matrix property . Int. J. Comput. Math. , 150 : 293 – 302 .
  • Varga , R. S. 1976 . On resuming theorems on diagonal dominance . Linear Algebr. Appl. , 13 : 1 – 9 .

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