Remarks on inverse of matrix polynomials

Fischer, Cyril; Náprstek, Jiří

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 24-29

Abstract

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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.

How to cite

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Fischer, Cyril, and Náprstek, Jiří. "Remarks on inverse of matrix polynomials." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 24-29. <http://eudml.org/doc/288164>.

@inProceedings{Fischer2017,
abstract = {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.},
author = {Fischer, Cyril, Náprstek, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {matrix polynomial; polynomial eigenvalues; structural vibration},
location = {Prague},
pages = {24-29},
publisher = {Institute of Mathematics CAS},
title = {Remarks on inverse of matrix polynomials},
url = {http://eudml.org/doc/288164},
year = {2017},
}

TY - CLSWK
AU - Fischer, Cyril
AU - Náprstek, Jiří
TI - Remarks on inverse of matrix polynomials
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 24
EP - 29
AB - 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.
KW - matrix polynomial; polynomial eigenvalues; structural vibration
UR - http://eudml.org/doc/288164
ER -

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