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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 9, Pages 113–124 (Mi mm3314)

This article is cited in 1 paper

Theory of parametric sensitivity of eigenfrequencies and its application to the stability analysis

V. B. Mikhailov, V. V. Rumjantsev

Center of Information Technologies in Design, Russian Academy of Sciences, Odintsovo, Moscow region

Abstract: Questions of organising computations in spectral numerical-analytical methods of solving differential-algebraic equations systems and counting parametric root sensitivities of orders 1 and 2 of Windows-version tool SimStar/Win as spectral problems on matrix pencils are considered. Problems of computational process decomposition are examined. Computational complexity is determined. Comparison to Lancaster–Chu–Andrew method is held.

Keywords: parametric root sensitivity, spectral problems on matrix pencils, differential-algebraic equations systems.

Received: 29.08.2011



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