QR factorisation in the shooting method

Author

Brambilla, Angelo ; Gruosso, Giambattista ; Gajani, Giancarlo Storti ; Redaelli, Massimo

Author_Institution

Dipt. di Elettron. e Inf., Politec. di Milano, Milan

fYear

2008

fDate

10-11 July 2008

Firstpage

172

Lastpage

175

Abstract

Radio frequency (RF) applications in consumer electronics require solid methods for the computation of the steady state behaviour in autonomous and non autonomous circuits. The shooting method (SH) is possibly the most important steady state time domain numerical method currently employed in circuit simulation. We show that SH requires great care in the choice and use of matrix factorization methods. In particular, the advantages of QR over the more standard and widely employed LU method are shown.

Keywords

circuit simulation; matrix decomposition; network analysis; numerical analysis; time-domain analysis; QR factorisation; autonomous circuits; circuit simulation; consumer electronics; matrix factorization; nonautonomous circuits; radio frequency applications; shooting method; steady state time domain numerical method; Application software; Circuit simulation; Consumer electronics; Frequency domain analysis; Jacobian matrices; Matrix decomposition; Nonlinear equations; Radio frequency; Steady-state; Time domain analysis; Steady state analysis; periodic circuits; qr decomposition; shooting method;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems for Communications, 2008. ECCSC 2008. 4th European Conference on

Conference_Location

Bucharest

Print_ISBN

978-1-4244-2419-1

Electronic_ISBN

978-1-4244-2420-7

Type

conf

DOI

10.1109/ECCSC.2008.4611670

Filename

4611670