GOLDEN SINE ALGORITHM AND ITS DEVELOPMENTAND APPLICATION TO DETERMINE NON LINEAREQUATION SYSTEMS SOLUTIONS
At the present time, the root finding problem of nonlinear system of equations is still a difficult problem in computational sciences. In order to overcome this problem, several meta-heuristic optimization algorithms are recently proposed. The algorithm firstly convert the root finding problem in...
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| Format: | Theses |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/72006 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | At the present time, the root finding problem of nonlinear system of equations is
still a difficult problem in computational sciences. In order to overcome this
problem, several meta-heuristic optimization algorithms are recently proposed.
The algorithm firstly convert the root finding problem into an optimization
problem, and then look for the desire root as a point that solve the optimization
problem.
One of the most recent meta-heuristic method proposed is Golden Sine
Algorithm by Tanyildizi and Demir (2017). This is hybrid method, combining
both Golden Section method and Sine Cosine method. It has high speed of
convergence and accurate.
Sidarto and Kania (2015) succeed to proposed a method that produced all
possible roots by improving Spiral Method using clustering in order to localize
all potential roots.
Thus, in this research we foccused in improving Golden-Sine Algorithm in order
to find all possible roots of nonlinear system of equations using clustering. |
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