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Efficient dominant eigensystem computation using nodal equations
Author(s) -
Expósito Antonio Gómez,
Bachiller Soler Alfonso,
Macías José Antonio Rosendo
Publication year - 2009
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.535
Subject(s) - eigenvalues and eigenvectors , computation , nodal analysis , state space , electronic circuit , modified nodal analysis , invariant (physics) , mathematics , state (computer science) , matrix (chemical analysis) , state space representation , computer science , algorithm , mathematical optimization , nodal , engineering , electronic engineering , statistics , electrical engineering , medicine , physics , materials science , quantum mechanics , composite material , mathematical physics , anatomy
In this paper, alternative methods are developed for computing the smallest, the largest and a given subset of the largest eigenvalues associated with linear time‐invariant circuits. The proposed methods resort to the solution of DC or AC adjoint circuits, for which conventional nodal analysis can be adopted. Experimental results obtained with test cases comprising over 500 state variables show substantial computational savings with respect to standard algorithms, based on the system matrix A arising in the state‐space formulation. Copyright © 2008 John Wiley & Sons, Ltd.