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

作者：Nechepurenko Yu M; Ovchinnikov G V; Sadkane M^*

来源：Journal of Computational and Applied Mathematics, 2014, 260: 218-228.

DOI：10.1016/j.cam.2013.09.059

• Differential algebraic systems
• Spectral pseudo-Inversion
• Spectral projection
• Laguerre polynomials
• Error bounds
• RC-circuits

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.

• 出版日期2014-4