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International Journal of Computer Mathematics Volume 85, 2008 - Issue 1
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Original Articles

A generalized nonlinear diagonal dominance

Ting-Zhu Huang School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu Sichuan, China, 610054, P.R. China
&
Yu-Bo Yuan School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu Sichuan, China, 610054, P.R. China
Pages 73-82 | Received 14 Mar 2007, Accepted 22 Mar 2007, Published online: 31 Dec 2007

References

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  • Browder , F. and Petrysshyn , W. 1966 . The solution by iteration of nonlinear function equations in Banach space . Bulletin of the American Mathematical Society , 72 : 571 – 575 .
  • You , Z.-Y. and Wang , C.-L. 1997 . A concept of nonlinear block diagonally dominance . Journal of Computational and Applied Mathematics , 83 : 1 – 10 .
  • Huang , T.-Z. 1995 . A note on generalized diagonally dominant matrices . Linear Algebra and its Applications , 225 : 237 – 242 .
  • Huang , T.-Z. , Cheng , G.-H. , Evans , D. J. and Cheng , X.-Y. 2005 . AOR type iterations for solving preconditioned linear systems . International Journal of Computer Mathematics , 82 : 969 – 976 .
  • Tai-Bin , G. , Huang , T.-Z. , Evans , D. J. and Jian , G. 2005 . Sufficient conditions for H-matrices . International Journal of Computer Mathematics , 82 : 247 – 258 .
  • Huang , T.-Z. and Evans , D. J. 2004 . Generalized doubly diagonally dominant matrices . International Journal of Computer Mathematics , 81 : 863 – 870 .
  • Huang , T.-Z. 2004 . Iterative algorithm criterion for H-matrices . International Journal of Computer Mathematics , 81 : 251 – 257 .
  • Huang , T.-Z. and Gao , Z.-X. 2003 . A new upper bound for moduli of eigenvalues and iterative matrices . International Journal of Computer Mathematics , 80 : 799 – 803 .

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