In computational electromagnetics many problems are representable in the form Ax = λBx where the matrices A , B are Hermitian and B is positive definite. These problems are solvable with high accuracy by the simultaneous diagonalization of the pair (A, B). However, it may happen that numerical approximations and rounding errors deteriorate the properties of the pair (A, B) in a way that the simultaneous diagonalization procedure results are inapplicable. In this work a new algorithm developed recently by Higham and Cheng (1999) is proposed as a method to be applied in these cases. In particular, the computation of the characteristic modes for the TM2, scattering by a conducting elliptic cylinder is addressed, and results are analyzed and discussed
Higham-Cheng Algorithm for Solving the Generalized Eigenproblem Applied to the Computation of the Characteristic Modes / Angiulli, Giovanni; Amendola, G; Di Massa, G. - (2001), pp. 646-648. (Intervento presentato al convegno IEEE International Symposium on Antennas and Propagation tenutosi a Boston - Massachusetts (Usa) nel 2001) [10.1109/APS.2001.959548].
Higham-Cheng Algorithm for Solving the Generalized Eigenproblem Applied to the Computation of the Characteristic Modes
ANGIULLI, Giovanni;
2001-01-01
Abstract
In computational electromagnetics many problems are representable in the form Ax = λBx where the matrices A , B are Hermitian and B is positive definite. These problems are solvable with high accuracy by the simultaneous diagonalization of the pair (A, B). However, it may happen that numerical approximations and rounding errors deteriorate the properties of the pair (A, B) in a way that the simultaneous diagonalization procedure results are inapplicable. In this work a new algorithm developed recently by Higham and Cheng (1999) is proposed as a method to be applied in these cases. In particular, the computation of the characteristic modes for the TM2, scattering by a conducting elliptic cylinder is addressed, and results are analyzed and discussedI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
