Matrices which are Sign-Regular of a Given Order
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| Type of Publication: | Dissertation |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1sk4wj0qjhcfe3 |
| Author: | Alseidi, Rola |
| Year of publication: | 2020 |
| Summary: |
In this thesis, the recognition problem and the properties of eigenvalues and eigenvectors of matrices which are strictly sign-regular a given order, i.e., matrices whose minors of a given order have the same strict sign are considered. The results are extended to matrices which are sign-regular of a given order, i.e., matrices whose minors of a given order have the same sign or are allowed to vanish. As a generalization, a new type of matrices called oscillatory of a specific order, is introduced. Furthermore, the properties for this type are investigated. Also, some applications to dynamic systems are given.
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| Examination date (for dissertations): | Jun 5, 2020 |
| Dissertation note: | Doctoral dissertation, University of Konstanz |
| Subject (DDC): | 510 Mathematics |
| Link to License: | In Copyright |
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ALSEIDI, Rola, 2020. Matrices which are Sign-Regular of a Given Order [Dissertation]. Konstanz: University of Konstanz
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