Power bounded and exponentially bounded matrices.

Autor:	Koliha, J. J.
Další autoři:	Straškraba, Ivan
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles power and exponentially bounded matrices spectral decomposition Drazin inverse singularly perturbed differential equations asymptotic behaviour
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: The paper gives a new characterization of eigenprojections, which is then used to obtain a spectral decomposition for the power bounded and exponentially bounded matrices. The applications include series and integral representations of the Drazin inverse, and investigation of the asymptotic behaviour of the solutions of singular and singularly perturbed differential equations. An example is given of localized travelling waves for a system of conservation laws.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink