Sequential homotopy-based computation of multiple solutions to nonlinear equations

Homotopy methods have achieved significant success in solving systems of nonlinear equations for which the number of solutions are known and the homotopy paths are bounded. We present a two-stage homotopy process which does not require a-priori knowledge of the number of solutions to a system of non...

Full description

Saved in:
Bibliographic Details
Published in1995 International Conference on Acoustics, Speech, and Signal Processing Vol. 2; pp. 1356 - 1359 vol.2
Main Authors Coetzee, F.M., Stonick, V.L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1995
Subjects
Benchmark testing
Digital signal processing
Filters
H infinity control
Neural networks
Nonlinear equations
Polynomials
Robustness
Signal processing
Signal processing algorithms
Online AccessGet full text

Cover

More Information
Summary:Homotopy methods have achieved significant success in solving systems of nonlinear equations for which the number of solutions are known and the homotopy paths are bounded. We present a two-stage homotopy process which does not require a-priori knowledge of the number of solutions to a system of nonlinear equations. This approach makes use of compact manifolds to find solutions sequentially along disconnected homotopy paths. The procedure is tested on two standard optimization and neural network benchmark problems.
ISBN:0780324315
9780780324312
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.1995.480492