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Title: Remarks on inverse of matrix polynomials (English)
Author: Fischer, Cyril
Author: Náprstek, Jiří
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 24-29
Category: math
Summary: Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation of the inversion problem. (English)
Keyword: matrix polynomial
Keyword: polynomial eigenvalues
Keyword: structural vibration
MSC: 15A15
MSC: 15A18
MSC: 30C10
MSC: 34M03
MSC: 65H10
DOI: 10.21136/panm.2016.03
Date available: 2017-06-20T13:00:19Z
Last updated: 2023-06-05
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