000163243 001__ 163243 000163243 005__ 20251107103405.0 000163243 0247_ $$2doi$$a10.1016/j.laa.2016.04.034 000163243 0248_ $$2sideral$$a95213 000163243 037__ $$aART-2016-95213 000163243 041__ $$aeng 000163243 100__ $$0(orcid)0000-0003-4633-4551$$aBarragán, L. A.$$uUniversidad de Zaragoza 000163243 245__ $$aZero sum sign-central matrices and applications 000163243 260__ $$c2016 000163243 5060_ $$aAccess copy available to the general public$$fUnrestricted 000163243 5203_ $$aA 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. 000163243 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 000163243 590__ $$a0.973$$b2016 000163243 591__ $$aMATHEMATICS$$b65 / 310 = 0.21$$c2016$$dQ1$$eT1 000163243 591__ $$aMATHEMATICS, APPLIED$$b115 / 255 = 0.451$$c2016$$dQ2$$eT2 000163243 592__ $$a1.07$$b2016 000163243 593__ $$aAlgebra and Number Theory$$c2016$$dQ1 000163243 593__ $$aDiscrete Mathematics and Combinatorics$$c2016$$dQ1 000163243 593__ $$aGeometry and Topology$$c2016$$dQ2 000163243 593__ $$aNumerical Analysis$$c2016$$dQ2 000163243 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000163243 700__ $$aDahl, G. 000163243 700__ $$0(orcid)0000-0001-5832-1163$$aDomínguez, A.$$uUniversidad de Zaragoza 000163243 700__ $$0(orcid)0000-0003-1403-1505$$aOtín, A.$$uUniversidad de Zaragoza 000163243 7102_ $$15008$$2785$$aUniversidad de Zaragoza$$bDpto. Ingeniería Electrón.Com.$$cÁrea Tecnología Electrónica 000163243 773__ $$g505 (2016), 109-125$$pLinear algebra appl.$$tLINEAR ALGEBRA AND ITS APPLICATIONS$$x0024-3795 000163243 8564_ $$s281834$$uhttps://zaguan.unizar.es/record/163243/files/texto_completo.pdf$$yPostprint 000163243 8564_ $$s1005493$$uhttps://zaguan.unizar.es/record/163243/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000163243 909CO $$ooai:zaguan.unizar.es:163243$$particulos$$pdriver 000163243 951__ $$a2025-11-07-10:32:06 000163243 980__ $$aARTICLE