Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Matrix quadratic equations, column/row reduced factorizations and an inertia theorem for matrix polynomials
Contributor:
Curtain, Ruth - ed. ; Kaashoek, Rien - ed.
Subtitle:
Infinite-Dimensional Systems Theory and Operator Theory
Group publication title:
Abstract:
It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial G([lambda]) (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. ; In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of G([lambda]). The proof of these results depends heavily on a new inertia theorem for matrix polynomials which is also one of the main results in this paper.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 11, number 6 (2001) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2001)
Last modified:
Jul 14, 2025
In our library since:
Jul 22, 2021
Number of object content hits:
176
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65600
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 1 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 2 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 3 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 4 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 5 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 6 (2001)
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| Edition name | Date |
|---|---|
| Matrix quadratic equations, column/row reduced factorizations and an inertia theorem for matrix polynomials | Jul 14, 2025 |
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