Choudhury, Projesh Nath and Kannan, Rajesh M and Sivakumar, KC
(2018)
*A NOTE ON LINEAR PRESERVERS OF SEMIPOSITIVE AND MINIMALLY SEMIPOSITIVE MATRICES.*
In: ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 34
.
pp. 687-694.

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## Abstract

Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory. In this short note, the structure of linear maps which preserve the set of all semipositive/minimally semipositive matrices is studied. An open problem is solved, and some ambiguities in the article J. Dorsey, T. Gannon, N. Jacobson, C.R. Johnson and M. Turnansky. Linear preservers of semi-positive matrices. Linear and Multilinear Algebra, 64:1853-1862, 2016.] are clarified.

Item Type: | Journal Article |
---|---|

Publication: | ELECTRONIC JOURNAL OF LINEAR ALGEBRA |

Publisher: | INT LINEAR ALGEBRA SOC |

Additional Information: | Copyright of this article belongs to INT LINEAR ALGEBRA SOC |

Keywords: | Linear preserver; Semipositive matrix; Minimally semipositive matrix; Monomial matrix |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 07 Feb 2019 08:46 |

Last Modified: | 07 Feb 2019 08:46 |

URI: | http://eprints.iisc.ac.in/id/eprint/61658 |

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