Application of linear fractional transformation in problems of localization of matrix spectra and roots of polynomials Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2024, Volume: 21, Number: 2, Pages: B46-B63 Pages count : 17 DOI: 10.33048/semi.2024.21.B04 | ||||
| Tags | spectrum dichotomy, linear fractional transformation, factorization of a polynomial. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
The paper investigates the possibilities of using linear fractional transformations in a number of problems that can be reduced to spectral dichotomy. More specifically, for the dichotomy of the imaginary axis, estimates arc given for areas containing eigenvalues, methods for determining the absence of a matrix spectrum on a ray and a segment- arc described. A method for dividing a polynomial into two factors whose roots lie in the right and left half-planes is described and substantiated.
Cite:
Biberdorf E.A.
, Wang L.
Application of linear fractional transformation in problems of localization of matrix spectra and roots of polynomials
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N2. P.B46-B63. DOI: 10.33048/semi.2024.21.B04 WOS Scopus
Application of linear fractional transformation in problems of localization of matrix spectra and roots of polynomials
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N2. P.B46-B63. DOI: 10.33048/semi.2024.21.B04 WOS Scopus
Dates:
| Submitted: | Nov 1, 2024 |
| Published print: | Dec 31, 2024 |
| Published online: | Dec 31, 2024 |
Identifiers:
| Web of science: | WOS:001473642800004 |
| Scopus: | 2-s2.0-85216960378 |
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