Application of the spectral pseudo-inversion to solving Hermitian systems of differential-algebraic equations

• Autores: Yu. M. Nechepurenko, G. V. Ovchinnikov, Miloud Sadkane
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 260, Nº 1, 2014, págs. 218-228
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.059
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• Resumen

  • A new effective method for solving Hermitian differential�algebraic systems with constant coefficients is proposed and justified. It uses an explicit representation of the solution based on the spectral pseudo-inversion and an expansion of the matrix exponential via Laguerre polynomial series. An approximate solution is obtained by truncating the series. A new bound for the approximate solution error is derived. Results of numerical experiments with systems arising in interconnect analysis of VLSI circuits are presented and discussed.