Title :
A necessary and sufficient condition for the convergence of iterative procedures for solving equations of nonlinear monotone resistive networks
Author :
Jiang, Yizhang ; Wing, Omar
Author_Institution :
Inst. of Inf. & Syst. Sci., Xi´´an Jiaotong Univ., China
Abstract :
For a class of nonlinear monotone resistive networks, we present necessary and sufficient conditions for the convergence of two iterative procedures, which are akin to respectively the explicit and implicit Euler methods. These conditions identify the types of nonlinear networks for which these iterative methods will converge
Keywords :
convergence of numerical methods; iterative methods; nonlinear network analysis; convergence; explicit Euler method; implicit Euler method; iterative procedures; nonlinear monotone resistive networks; Convergence; Counting circuits; Electronic mail; Hilbert space; Iterative methods; Nonlinear equations; Resistors; Sufficient conditions; Terminology;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621849
