FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE

FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE

Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational science. Many attemps with deterministic up to meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to find all roots. This pa...

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Main Author: Zaky Dwi Arli, Mochammad
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/39001
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:39001
spelling id-itb.:390012019-06-21T08:23:48ZFINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE Zaky Dwi Arli, Mochammad Indonesia Final Project sine cosine algorithm, clustering technique, systems of nonlinear equations INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/39001 Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational science. Many attemps with deterministic up to meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to find all roots. This paper will works on some problems of systems of nonlinear real, complex, and diophantine equations by manipulating the system of nonlinear equations into an optimization problem, then we will find all solutions using Sine Cosine Algorithm from Mirjalili (2016) and Clustering Technique from Sidarto (2015) to find all possible solutions simultaneously. And this method is improved by using Sobol sequene to increase the chance of finding all possible roots in the search space. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational science. Many attemps with deterministic up to meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to find all roots. This paper will works on some problems of systems of nonlinear real, complex, and diophantine equations by manipulating the system of nonlinear equations into an optimization problem, then we will find all solutions using Sine Cosine Algorithm from Mirjalili (2016) and Clustering Technique from Sidarto (2015) to find all possible solutions simultaneously. And this method is improved by using Sobol sequene to increase the chance of finding all possible roots in the search space.
format Final Project
author Zaky Dwi Arli, Mochammad
spellingShingle Zaky Dwi Arli, Mochammad
FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
author_facet Zaky Dwi Arli, Mochammad
author_sort Zaky Dwi Arli, Mochammad
title FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
title_short FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
title_full FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
title_fullStr FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
title_full_unstemmed FINDING ALL ROOTS FROM SYSTEM OF NONLINEAR REAL, COMPLEKS, AND DIOPHANTINE EQUATIONS WITH SINE COSINE ALGORITHM AND CLUSTERING TECHNIQUE
title_sort finding all roots from system of nonlinear real, compleks, and diophantine equations with sine cosine algorithm and clustering technique
url https://digilib.itb.ac.id/gdl/view/39001
_version_ 1822925167741894656

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