M-matrix and inverse M-matrix extensions

McDonald J.J.; Nandi R.; Sivakumar K.C.; Sushmitha P.; Tsatsomeros M.J.; Wendler Enzo; Wendler Megan

doi:10.1515/spma-2020-0113

Special Matrices (Sep 2020)

M-matrix and inverse M-matrix extensions

McDonald J.J.,
Nandi R.,
Sivakumar K.C.,
Sushmitha P.,
Tsatsomeros M.J.,
Wendler Enzo,
Wendler Megan

Affiliations

McDonald J.J.: Department of Mathematics and Statistics, Washington State University, Pullman, Washington99164-3113, U.S.A.
Nandi R.: Department of Mathematics, Indian Institute of Technology Madras, Chennai600 036, India
Sivakumar K.C.: Department of Mathematics, Indian Institute of Technology Madras, Chennai600 036, India
Sushmitha P.: Department of Mathematics, Indian Institute of Technology Madras, Chennai600 036, India
Tsatsomeros M.J.: Department of Mathematics and Statistics, Washington State University, Pullman, Washington99164-3113, U.S.A.
Wendler Enzo: Department of Mathematics and Statistics, Colorado Mesa University, Grand Junction, Colorado 81501, U.S.A.
Wendler Megan: Department of Mathematics and Statistics, Colorado Mesa University, Grand Junction, Colorado 81501, U.S.A.

DOI: https://doi.org/10.1515/spma-2020-0113
Journal volume & issue: Vol. 8, no. 1
pp. 186 – 203

Abstract

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A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a new perspective on their classical theory.

Published in Special Matrices

ISSN: 2300-7451 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/spma/html

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