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

  • Authors:
  • Yu. M. Nechepurenko;G. V. Ovchinnikov;M. Sadkane

  • Affiliations:
  • -;-;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2014

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Abstract

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.