Subspace Homotopy Methods for Solving Nonlinear Equations
S.R. Saratha1, Vijeta Iyer2, R. Manju3
1S.R. Saratha, Assistant Professor, Department of Science and Humanities, Kumaraguru College of Technology, Coimbatore (Tamil Nadu), India.
2Vijeta Iyer, Assistant Professor, Department of Science and Humanities, Kumaraguru College of Technology, Coimbatore (Tamil Nadu), India.
3R. Manju, Assistant Professor, Department of Civil Engineering, Kumaraguru College of Technology, Coimbatore (Tamil Nadu), India.
Manuscript received on 10 December 2018 | Revised Manuscript received on 29 December 2018 | Manuscript Published on 09 January 2019 | PP: 1-4 | Volume-7 Issue-4S November 2018 | Retrieval Number: E1959017519/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The concept of Newton subspace homotopy method has been introduced in this paper. As Newton – Homotopy method can’t be used for all the functions in topological spaces. So an algorithm has been developed by finding a subspace of the given space for which the subspace homotopy function has been found.
Keywords: Homotopy, Newton-Raphson Method, Subspace Homotopy, Matlab 2010 AMS Subject Classification: 55P10, 55P35, 55P99.
Scope of the Article: Problem Solving and Planning