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Hadamard Functions of Inverse M-Matrices

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Inverse M-Matrices and Ultrametric Matrices

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2118))

Abstract

There are remarkable properties relating inverse M-matrices and Hadamard functions. In the first part of this chapter we study stability for the class of inverse M-matrices under Hadamard functions. We prove that the class of GUM matrices is the largest class of bi-potential matrices stable under Hadamard increasing functions.

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Authors and Affiliations

  1. Laboratoire Raphael Salem, UMR 6085, Universite de Rouen, Rouen, France

    Claude Dellacherie

  2. CMM-DIM, FCFM, Universidad de Chile, Santiago, Chile

    Servet Martinez & Jaime San Martin

Authors
  1. Claude Dellacherie
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  2. Servet Martinez
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  3. Jaime San Martin
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Dellacherie, C., Martinez, S., San Martin, J. (2014). Hadamard Functions of Inverse M-Matrices. In: Inverse M-Matrices and Ultrametric Matrices. Lecture Notes in Mathematics, vol 2118. Springer, Cham. https://doi.org/10.1007/978-3-319-10298-6_6

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