163243 20251107103405.0 doi 10.1016/j.laa.2016.04.034 sideral 95213 ART-2016-95213 eng Barragán, L. A. Universidad de Zaragoza (orcid)0000-0003-4633-4551 Zero sum sign-central matrices and applications 2016 Access copy available to the general public Unrestricted 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. info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 0.973 2016 MATHEMATICS 65 / 310 = 0.21 2016 Q1 T1 MATHEMATICS, APPLIED 115 / 255 = 0.451 2016 Q2 T2 1.07 2016 Algebra and Number Theory 2016 Q1 Discrete Mathematics and Combinatorics 2016 Q1 Geometry and Topology 2016 Q2 Numerical Analysis 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Dahl, G. Domínguez, A. Universidad de Zaragoza (orcid)0000-0001-5832-1163 Otín, A. Universidad de Zaragoza (orcid)0000-0003-1403-1505 5008 785 Universidad de Zaragoza Dpto. Ingeniería Electrón.Com. Área Tecnología Electrónica 505 (2016), 109-125 Linear algebra appl. LINEAR ALGEBRA AND ITS APPLICATIONS 0024-3795 281834 http://zaguan.unizar.es/record/163243/files/texto_completo.pdf Postprint 1005493 http://zaguan.unizar.es/record/163243/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:163243 articulos driver 2025-11-07-10:32:06 ARTICLE