Original title: Remarks on inverse of matrix polynomials
Authors: Fischer, Cyril ; Náprstek, Jiří
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /18./, Janov nad Nisou (CZ), 20160619
Year: 2017
Language: eng
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.
Keywords: matrix polynomial; polynomial eigenvalues; structural vibration
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: Programs and algorithms of numerical mathematics 18, ISBN 978-80-85823-67-7
Note: Související webová stránka: http://dml.cz/dmlcz/702994

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0273066

Permalink: http://www.nusl.cz/ntk/nusl-358356


The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers