Original scientific paper
https://doi.org/10.2498/cit.1002186
A Derivative-free Algorithm for Finding Least Squares Solutions of Quasi-linear and Linear Systems
Nikica Hlupic
; Department of Applied Computing, Faculty of Electrical Engineering and Computing, University of Zagreb
Ivo Beroš
; Department of Applied Mathematics and Computer Science, VERN’ University of Applied Sciences, Zagreb
Danko Basch
; Department of Control and Computer Engineering, Faculty of Electrical Engineering and Computing, University of Zagreb
Abstract
A novel derivative-free algorithm for solving quasilinear systems is presented. It resembles “classical” optimization approach but greatly simplifies computation, resulting in fast execution and numerical stability. Though the global convergence cannot be guaranteed, it turns out that the presented algorithm finds a solution as successfully as other commonly accepted methods. The algorithm is clearly developed and mathematically founded, and its properties are examined by comparisons with other methods.
Keywords
derivative-free algorithm; optimization; quasilinear systems; linear systems
Hrčak ID:
109446
URI
Publication date:
16.10.2013.
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