Type of Publication: | Working Paper/Technical Report |
Publication status: | Accepted |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-11hoknygmukvc9 |
Author: | AlSeidi, Rola; Garloff, Jürgen |
Year of publication: | 2020 |
Series: | Konstanzer Schriften in Mathematik ; 392 |
Summary: |
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 Ak 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.
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MSC Classification: | 15B48, 15A15 |
Subject (DDC): | 510 Mathematics |
Keywords: | Strict sign-regularity, sign-regularity, oscillatory matrix, compound matrix, primitive matrix, exponent of primitivity, oscillatory exponent of order k |
Comment on publication: | Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
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} }
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