Tuning the multithreaded interval method for solving underdetermined systems of nonlinear equations

Authors:
Bartłomiej Jacek Kubica
Affiliations:
Institute of Control and Computation Engineering, Warsaw University of Technology, Poland
Venue:
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Year:
2011

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Abstract

The paper presents the author's investigations in the field of improving the performance of a multithreaded interval solver of equations systems, targeted for underdetermined systems. New heuristics to choose the interval Newton operator variant and bisection direction are proposed. Numerical results for several benchmark problems are presented and analyzed. Also some other tools and future possible improvements are suggested.