QR factorisation in the shooting method

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.