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Inverse H-matrices
Published in Elsevier Inc.
2019
Volume: 572
   
Pages: 1 - 31
Abstract
The notion of inverse M-matrices has been quite well studied and many of their properties have been documented in the literature. In this article, a proposal to consider the larger class of inverse H-matrices, is made. First, certain special types of real matrices are identified as inverse H-matrices. While these matrices are not inverse M-matrices in general, their definitions are inspired by matrices that are known to be inverse M-matrices. In the rest of the article, motivated by results that hold for inverse M-matrices, the endeavor will be to attempt at proving corresponding results for inverse H-matrices. It is shown that for the full class of inverse H-matrices, many of these extensions are false. Nevertheless, two subclasses of real inverse H-matrices are identified, where these generalizations are shown to hold. © 2019 Elsevier Inc.
About the journal
JournalData powered by TypesetLinear Algebra and Its Applications
PublisherData powered by TypesetElsevier Inc.
ISSN00243795
Open AccessNo
Concepts (7)
  •  related image
    Inverse problems
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    COMPARISON MATRIX
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    H MATRIX
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    H-MATRICES
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    M-matrices
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    REAL MATRICES
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    Matrix algebra