Title :
Variable dimension Newton-Raphson method
Author :
Ng, S.W. ; Lee, Y.S.
Author_Institution :
Dept. of Electron. & Inf. Eng., Hong Kong Polytech., Hung Hom, Hong Kong
fDate :
6/1/2000 12:00:00 AM
Abstract :
The classical Newton-Raphson method is generalized to solve nonsquare and nonlinear problems of size m×n with m⩽n. Using this generalized Newton-Raphson method as a core, a new variable dimension Newton-Raphson (VDNR) method is developed. The VDNR method is verified to have a better convergence property than the classical Newton-Raphson method by benchmark testing
Keywords :
Newton-Raphson method; convergence of numerical methods; nonlinear equations; VDNR method; benchmark testing; convergence property; nonlinear problems; nonsquare problems; variable dimension Newton-Raphson method; Benchmark testing; Bifurcation; Circuit simulation; Convergence; Jacobian matrices; Newton method; Nonlinear equations; SPICE; Senior members;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
