Intervals of special sign regular matrices
| dc.contributor.author | Adm, Mohammad | |
| dc.contributor.author | Garloff, Jürgen | |
| dc.date.accessioned | 2015-10-12T13:22:20Z | |
| dc.date.available | 2015-10-12T13:22:20Z | |
| dc.date.issued | 2016-07-02 | |
| dc.description.abstract | We consider classes of n-by-n sign regular matrices, i.e., of matrices with the property that all their minors of fixed order k have one specified sign or are allowed also to vanish, k = 1, ... ,n. If the sign is nonpositive for all k, such a matrix is called totally nonpositive. The application of the Cauchon algorithm to nonsingular totally nonpositive matrices is investigated and a new determinantal test for these matrices is derived. Also matrix intervals with respect to the checkerboard partial ordering are considered. This order is obtained from the usual entry-wise ordering on the set of the n-by-n matrices by reversing the inequality sign for each entry in a checkerboard fashion. For some classes of sign regular matrices it is shown that if the two bound matrices of such a matrix interval are both in the same class then all matrices lying between these two bound matrices are in the same class, too. | eng |
| dc.description.version | published | |
| dc.identifier.doi | 10.1080/03081087.2015.1090388 | eng |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/31955 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Intervals of special sign regular matrices | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Adm2016-07-02Inter-31955,
year={2016},
doi={10.1080/03081087.2015.1090388},
title={Intervals of special sign regular matrices},
number={7},
volume={64},
issn={0308-1087},
journal={Linear and Multilinear Algebra},
pages={1424--1444},
author={Adm, Mohammad and Garloff, Jürgen}
} | |
| kops.citation.iso690 | ADM, Mohammad, Jürgen GARLOFF, 2016. Intervals of special sign regular matrices. In: Linear and Multilinear Algebra. 2016, 64(7), pp. 1424-1444. ISSN 0308-1087. eISSN 1563-5139. Available under: doi: 10.1080/03081087.2015.1090388 | deu |
| kops.citation.iso690 | ADM, Mohammad, Jürgen GARLOFF, 2016. Intervals of special sign regular matrices. In: Linear and Multilinear Algebra. 2016, 64(7), pp. 1424-1444. ISSN 0308-1087. eISSN 1563-5139. Available under: doi: 10.1080/03081087.2015.1090388 | eng |
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| kops.sourcefield | Linear and Multilinear Algebra. 2016, <b>64</b>(7), pp. 1424-1444. ISSN 0308-1087. eISSN 1563-5139. Available under: doi: 10.1080/03081087.2015.1090388 | deu |
| kops.sourcefield.plain | Linear and Multilinear Algebra. 2016, 64(7), pp. 1424-1444. ISSN 0308-1087. eISSN 1563-5139. Available under: doi: 10.1080/03081087.2015.1090388 | deu |
| kops.sourcefield.plain | Linear and Multilinear Algebra. 2016, 64(7), pp. 1424-1444. ISSN 0308-1087. eISSN 1563-5139. Available under: doi: 10.1080/03081087.2015.1090388 | eng |
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