Inexact Newton methods for the steady state analysis of nonlinear circuits

Mathematical Models and Methods in Applied Sciences

Volumn 6, Issue 1, 1996, Pages 43-57

  Guglielmi, Nicola ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030533203     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000043     Document Type: Article

References (13)

1. S. F. Ashby, Chebycode: a FORTRAN implementation of Manteuffel's adaptive Chebyshev algorithm, M.S. Thesis, Univ. of Illinois (1985).
2. R. Dembo, S. Eisenstat and T. Steinhaug, Inexact Newton methods, SIAM J. Numer. Anal. 19 (1982) 401-408.
3. J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice Hall, 1983).
4. S. Eisenstat and H. Walker, Globally convergent inexact Newton methods, SIAM J. Optim. 4 (1994) 393-422.
5. C. T. Kelley and L. Mukundan, Convergence analysis for the harmonic balance method, Nonlinear Analysis, Theory Methods and Appl. 4 (1993) 365-380.
6. T. A. Manteuffel, The Chebyshev iteration for nonsymmetric linear systems, Numer. Math. 28 (1977) 307-327.
7. C. Pommerell and W. Fichtner, PILS: An iterative linear solver package for ill-conditioned systems, Supercomputing '91, Albuquerque, NM (1991) 588-599.
8. V. Rizzoli et al., State-of-the-Art harmonic balance simulation of forced nonlinear microwave circuits by the piecewise technique, IEEE Trans. Microwave Theory Tech. 40 (1992) 12-28.
9. V. Rizzoli et al., Modern perspectives in supercomputer-aided microwave circuit design, Int. J. Microwave Millimeter-Wave Computer-Aided Engrg. 1 (1991) 201-224.
10. V. Rizzoli, F. Mastri, F. Sgallari and V. Frontini, The exploitation of sparse-matrix techniques in conjunction wit the piecewise harmonic-balance method for nonlinear microwave circuit analysis, 1990 IEEE MTT-S Int. Microwave Symp. Dig., Dallas (1990) 1295-1298.
11. Y. Saad and M. H. Schultz, GMRES, a Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM J. Sci. Stat. Comput. 7 (1986) 856-869.
12. M. Urabe, Galerkin's procedure for nonlinear periodic systems, Arch. Rational Mech. Anal. 20 (1965) 120-152.
13. H. A. Vandervorst, Bi-CGStab: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput. 13 (1992) 631-644.