Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598526 | Linear Algebra and its Applications | 2016 | 17 Pages |
Abstract
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)(±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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luis A. Barragán, Geir Dahl, Alberto Domínguez, Arantxa Otín,