The generalised eigenproblem Ax=λBx is very oftenencountered in computational electromagnetics. Its solution iseasily obtained when the matrices A and B are Hermitian and B ispositive definite. However, the errors introduced by thediscretisation process can deteriorate the properties of thematrices A and B in such a way that common techniques can nolonger be used. The Higham-Cheng algorithm is proposed as amethod to solve the generalised eigenproblem in these last cases.A brief account of the method is given and the algorithm isapplied to two classical electromagnetic problems.

Application of Higham-Cheng Algorithm to the Generalized Eigenproblem in Computational Electromagnetics

ANGIULLI, Giovanni
;
2001-01-01

Abstract

The generalised eigenproblem Ax=λBx is very oftenencountered in computational electromagnetics. Its solution iseasily obtained when the matrices A and B are Hermitian and B ispositive definite. However, the errors introduced by thediscretisation process can deteriorate the properties of thematrices A and B in such a way that common techniques can nolonger be used. The Higham-Cheng algorithm is proposed as amethod to solve the generalised eigenproblem in these last cases.A brief account of the method is given and the algorithm isapplied to two classical electromagnetic problems.
Computational Electromagnetics; Generalized Eigenproblem; Method of Moments
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/375
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 0
social impact