Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed

S. Arela-Pérez; Hans Nina; Jésica Pantáz; H. Pickmann-Soto; Elvis Valero

doi:10.1016/j.laa.2021.04.024

Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed

S. Arela-Pérez
, Hans Nina
, Jésica Pantáz
, H. Pickmann-Soto
, Elvis Valero

Department of Mathematics

Universidad de Antofagasta
Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This article considers two inverse eigenvalue problems for Lefkovitch and doubly Lefkovitch matrices. The problems consist of constructing these matrices from the maximal eigenvalues of all its leading principal submatrices, eigenvectors associated with some of these eigenvalues, and some diagonal entries. We give sufficient conditions for the existence of such matrices. In particular, when the matrices have constant diagonal entries. In addition, we provide numerical examples to show the results obtained.

Original language	English
Pages (from-to)	152-170
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	626
DOIs	https://doi.org/10.1016/j.laa.2021.04.024
State	Published - 1 Oct 2021

Keywords

Inverse eigenvalue problem
Lefkovitch matrices
Nonnegative matrix
Nonsymmetric matrix

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10.1016/j.laa.2021.04.024

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title = "Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed",

abstract = "This article considers two inverse eigenvalue problems for Lefkovitch and doubly Lefkovitch matrices. The problems consist of constructing these matrices from the maximal eigenvalues of all its leading principal submatrices, eigenvectors associated with some of these eigenvalues, and some diagonal entries. We give sufficient conditions for the existence of such matrices. In particular, when the matrices have constant diagonal entries. In addition, we provide numerical examples to show the results obtained.",

keywords = "Inverse eigenvalue problem, Lefkovitch matrices, Nonnegative matrix, Nonsymmetric matrix",

author = "S. Arela-P{\'e}rez and Hans Nina and J{\'e}sica Pant{\'a}z and H. Pickmann-Soto and Elvis Valero",

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T1 - Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed

AU - Arela-Pérez, S.

AU - Nina, Hans

AU - Pantáz, Jésica

AU - Pickmann-Soto, H.

AU - Valero, Elvis

PY - 2021/10/1

Y1 - 2021/10/1

N2 - This article considers two inverse eigenvalue problems for Lefkovitch and doubly Lefkovitch matrices. The problems consist of constructing these matrices from the maximal eigenvalues of all its leading principal submatrices, eigenvectors associated with some of these eigenvalues, and some diagonal entries. We give sufficient conditions for the existence of such matrices. In particular, when the matrices have constant diagonal entries. In addition, we provide numerical examples to show the results obtained.

AB - This article considers two inverse eigenvalue problems for Lefkovitch and doubly Lefkovitch matrices. The problems consist of constructing these matrices from the maximal eigenvalues of all its leading principal submatrices, eigenvectors associated with some of these eigenvalues, and some diagonal entries. We give sufficient conditions for the existence of such matrices. In particular, when the matrices have constant diagonal entries. In addition, we provide numerical examples to show the results obtained.

KW - Inverse eigenvalue problem

KW - Lefkovitch matrices

KW - Nonnegative matrix

KW - Nonsymmetric matrix

UR - https://www.scopus.com/pages/publications/85107304462

U2 - 10.1016/j.laa.2021.04.024

DO - 10.1016/j.laa.2021.04.024

M3 - Article

AN - SCOPUS:85107304462

SN - 0024-3795

VL - 626

SP - 152

EP - 170

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed

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Keywords

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