FINDING ROOTS OF SYSTEM OF NON LINEAR EQUATIONS USING SPIRAL DYNAMICS INSPIRED OPTIMIZATION
Global optimization problem can be solved by several methods. Each method has its own strategies and parameters, that the effectiveness and the accuracy on finding the global optimum value can be different for each method. Some of the optimization methods cannot avoid the local optimum, some else...
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Format: | Final Project |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/17993 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | Global optimization problem can be solved by several methods. Each method
has its own strategies and parameters, that the effectiveness and the accuracy on
finding the global optimum value can be different for each method. Some of the
optimization methods cannot avoid the local optimum, some else need the derivative
of function. Those methods has its strengths and weaknesses. Finding roots
of systems of non linear equations inside bounded domain is not easy, moreover it
can be very difficult in some cases. Metaheuristics method is an effective method
for finding roots of systems of non linear equations inside bounded domain. Writer
proposed a new metaheuristics method from Kenichi Tamura and Keiichiro Yasuda,
year 2011, the Spiral Dynamics Inspired Optimization algorithm. Finding roots of
systems of non linear equations can be done with solving optimization problem that
constructed from the non linear equations system. For finding all roots on systems
of non linear equations inside bounded domain, we use Grouping Technique. The
search processing with that technique is not only in one location of the roots, but
it search on several locations. Beside that, this final project will explain how to
use the Spiral Dynamics Inspired Optimization algorithm equipped with Grouping
Technique for finding not only the Real roots, but also the Complex roots. |
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