Zero sum sign-central matrices and applications

Barragán, L. A. (Universidad de Zaragoza) ; Dahl, G. ; Domínguez, A. (Universidad de Zaragoza) ; Otín, A. (Universidad de Zaragoza)

Resumen: A matrix with a nonzero nonnegative vector in its null space is called central. We study classes of central matrices having zero column sums. The study is motivated by an engineering application concerning induction heating where central matrices provide a way to control the energy flow over time. A (±1) -matrix A is called a ZSC-matrix (zero sum sign-central) if each matrix with the same sign pattern as A and having zero column sums is central. We establish several classes of ZSC-matrices, and give separate sufficient and necessary conditions for a matrix to be ZSC. Moreover, we give algorithms for finding central matrices that are used for power control in induction heating, and illustrate these by some numerical examples.

Idioma: Inglés

DOI: 10.1016/j.laa.2016.04.034

Año: 2016

Publicado en: LINEAR ALGEBRA AND ITS APPLICATIONS 505 (2016), 109-125
ISSN: 0024-3795

Factor impacto JCR: 0.973 (2016)

Categ. JCR: MATHEMATICS rank: 65 / 310 = 0.21 (2016) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 115 / 255 = 0.451 (2016) - Q2 - T2

Factor impacto SCIMAGO: 1.07 - Algebra and Number Theory (Q1) - Discrete Mathematics and Combinatorics (Q1) - Geometry and Topology (Q2) - Numerical Analysis (Q2)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Tecnología Electrónica (Dpto. Ingeniería Electrón.Com.)