Newton homotopy algorithms for computing the solution of nonlinear systems

algebra, general topology, and functional analysis. The fourth chapter titled “Research Methodology” is possibly the most important part of this dessirtation. In this chapter the research features; are ix �discussed (section A) together with instruments utilization (section B), the research elements...

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Main Author: HASAN, Talib Hashim
Format: Theses and Dissertations NonPeerReviewed
Published: Universitas Gadjah Mada 2000
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Online Access:https://repository.ugm.ac.id/171817/
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spelling id-ugm-repo.1718172017-08-30T06:33:15Z https://repository.ugm.ac.id/171817/ Newton homotopy algorithms for computing the solution of nonlinear systems HASAN, Talib Hashim Computer Software algebra, general topology, and functional analysis. The fourth chapter titled “Research Methodology” is possibly the most important part of this dessirtation. In this chapter the research features; are ix �discussed (section A) together with instruments utilization (section B), the research elements (section C) and the construction of NHPODE algorithm (section D). Chapter five shows the results obtained from the execution of NHPODE algorithm for solving various types of nonlinear systems (section A). Section B contains the discussion concerning the results, which are shown in the previous section. A cornparsion betwwen NHPODE and other algorithms as QuasiNewton, Brent and Brown are included in section C. An application of hornotopy methods to solve problems in the electrical engineering is explained i n chapter five also. Finally, chapter six consists of three sections. Section A contains the conclusion of the research. Section B shows the complexity concerning the research while section C consists of many suggegtions and open problems. This work contains three appendix, these are appendix A, which contains the list of M ATLAB program, section B which explains the output of the algorithm program and appendix C which consists of figures concerning the paths obtained from solving nonlinear systems by using the NHPODE algorithm. Universitas Gadjah Mada 2000 Thesis NonPeerReviewed HASAN, Talib Hashim (2000) Newton homotopy algorithms for computing the solution of nonlinear systems. Other thesis, Universitas Gadjah Mada. http://etd.repository.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=98
institution Universitas Gadjah Mada
building UGM Library
country Indonesia
collection Repository Civitas UGM
topic Computer Software
spellingShingle Computer Software
HASAN, Talib Hashim
Newton homotopy algorithms for computing the solution of nonlinear systems
description algebra, general topology, and functional analysis. The fourth chapter titled “Research Methodology” is possibly the most important part of this dessirtation. In this chapter the research features; are ix �discussed (section A) together with instruments utilization (section B), the research elements (section C) and the construction of NHPODE algorithm (section D). Chapter five shows the results obtained from the execution of NHPODE algorithm for solving various types of nonlinear systems (section A). Section B contains the discussion concerning the results, which are shown in the previous section. A cornparsion betwwen NHPODE and other algorithms as QuasiNewton, Brent and Brown are included in section C. An application of hornotopy methods to solve problems in the electrical engineering is explained i n chapter five also. Finally, chapter six consists of three sections. Section A contains the conclusion of the research. Section B shows the complexity concerning the research while section C consists of many suggegtions and open problems. This work contains three appendix, these are appendix A, which contains the list of M ATLAB program, section B which explains the output of the algorithm program and appendix C which consists of figures concerning the paths obtained from solving nonlinear systems by using the NHPODE algorithm.
format Theses and Dissertations
NonPeerReviewed
author HASAN, Talib Hashim
author_facet HASAN, Talib Hashim
author_sort HASAN, Talib Hashim
title Newton homotopy algorithms for computing the solution of nonlinear systems
title_short Newton homotopy algorithms for computing the solution of nonlinear systems
title_full Newton homotopy algorithms for computing the solution of nonlinear systems
title_fullStr Newton homotopy algorithms for computing the solution of nonlinear systems
title_full_unstemmed Newton homotopy algorithms for computing the solution of nonlinear systems
title_sort newton homotopy algorithms for computing the solution of nonlinear systems
publisher Universitas Gadjah Mada
publishDate 2000
url https://repository.ugm.ac.id/171817/
http://etd.repository.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=98
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