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Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

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ALSEIDI, Rola, Jürgen GARLOFF, 2020. Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

@techreport{AlSeidi2020Recog-50325, series={Konstanzer Schriften in Mathematik}, title={Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices}, year={2020}, number={392}, author={AlSeidi, Rola and Garloff, Jürgen}, note={Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb} }

2020 Garloff, Jürgen AlSeidi, Rola eng 2020-07-21T06:07:27Z AlSeidi, Rola 2020-07-21T06:07:27Z In this paper, rectangular matrices whose minors of a given order have the same strict sign are considered and sufficient conditions for their recognition are presented. The results are extended to matrices whose minors of a given order have the same sign or are allowed to vanish. A matrix is called oscillatory if all its minors are nonnegative and there exists a positive integer k such that A<sup>k</sup> has all its minors positive. As a generalization, a new type of matrices, called oscillatory of a specific order, is introduced and some of their properties are investigated. terms-of-use Garloff, Jürgen Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

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