Application of the block Jacobi method to piecewise-linear analysis of DC diode-transistor networks

Author

Tadeusiewicz, M. ; Ossowski, M.

Author_Institution

Tech. Univ. of Lodz, Poland

fYear

1988

fDate

7-9 June 1988

Firstpage

1237

Abstract

The application of the block Jacobi method to piecewise-linear analysis of DC diode-transistor circuits is discussed. The problem of convergence of the method is considered in detail. Sufficient conditions guaranteeing the convergence of the iterative process to a unique solution for each initial guess are formulated. Some weaker conditions relating to the solvability and computation of the circuits are developed. The efficiency of the block Jacobi method is analyzed. The method has been tested and compared with other well-known algorithms of piecewise-linear analysis, such as J. Katzenelson´s (1965) and Newton-Raphson´s algorithm. Some advantages of the method are indicated and suggestions concerning the computation process are made. Several numerical examples are presented.<>

Keywords

convergence of numerical methods; iterative methods; matrix algebra; nonlinear network analysis; piecewise-linear techniques; DC diode-transistor networks; block Jacobi method; convergence; iterative process; nonlinear circuits; piecewise-linear analysis; Circuits; Computer networks; Diodes; Equations; Gaussian processes; Jacobian matrices; Newton method; Piecewise linear techniques; Sufficient conditions; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo, Finland

Type

conf

DOI

10.1109/ISCAS.1988.15151

Filename

15151