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Intervals of Inverse M-Matrices

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Reliable Computing

Abstract

If A and B are inverse M-matrices, we show that the interval determined by A and B contains only inverse M-matrices if and only if all vertices of the interval are inverse M. Limitations on strengthening such a statement are exhibited by example, and generalizations to classes of matrices defined by identically signed collections of minors are mentioned.

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Authors and Affiliations

  1. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187, USA

    Charles R. Johnson

  2. Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN, 37403-2598, USA

    Ronald L. Smith

Authors
  1. Charles R. Johnson
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  2. Ronald L. Smith
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Johnson, C.R., Smith, R.L. Intervals of Inverse M-Matrices. Reliable Computing 8, 239–243 (2002). https://doi.org/10.1023/A:1015517430475

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  • DOI: https://doi.org/10.1023/A:1015517430475

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