Geodesic
Power bounded and exponentially bounded matrices
Applications of Mathematics, Tome 44 (1999) no. 4, pp. 289-308 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1023/A:1023032629988
Classification : 15A09, 34D05, 34E15, 39A11
Keywords: power and exponentially bounded matrices; spectral decomposition; Drazin inverse; singularly perturbed differential equations; asymptotic behaviour 
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     title = {Power bounded and exponentially bounded matrices},
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     year = {1999},
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Koliha, J. J.; Straškraba, Ivan. Power bounded and exponentially bounded matrices. Applications of Mathematics, Tome 44 (1999) no. 4, pp. 289-308. doi: 10.1023/A:1023032629988

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