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Some new conditions for generalized H-matrices

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Abstract

By using a continuous transition method of a matrix and the estimate for spectral radius of a sub-matrix etc., decision methods for a generalized H-matrix under positive definite matrix conditions are researched. Some new sufficient conditions for generalized H-matrices are obtained. When a block matrix degenerates a point matrix, these conditions namely become sufficient conditions of H-matrix.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan Provice, P. R. China

    Zhu Li  (朱砾) & Liu Jian-zhou  (刘建州)

Authors
  1. Zhu Li  (朱砾)
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  2. Liu Jian-zhou  (刘建州)
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Corresponding author

Correspondence to Zhu Li  (朱砾).

Additional information

Communicated by GUO Xing-ming

Project supported by the National Natural Science Foundation of China (No. 10671164), and Hunan Provice Key Laboratory for Computation and Simulation in Science and Engineering

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Zhu, L., Liu, Jz. Some new conditions for generalized H-matrices. Appl. Math. Mech.-Engl. Ed. 28, 1495–1501 (2007). https://doi.org/10.1007/s10483-007-1109-y

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  • DOI: https://doi.org/10.1007/s10483-007-1109-y

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