DocumentCode
2859289
Title
The Algorithm that Determines the Start Iteration of the Halley-Altman Method
Author
Cira, Octavian ; Cira, Cristian Mihai
Author_Institution
Univ. of Arad, Arad
fYear
2007
fDate
26-29 Sept. 2007
Firstpage
381
Lastpage
386
Abstract
The paper is devoted to the Ostrowski-Kantorovich type convergence theorem for the Halley-Altman method, with the S-order of convergence equal to 3, for nonlinear operator equations in Banach spaces. The main result of the article is the algorithm that determines the start iteration from the cubic convergence sphere of the Halley-Altman method. The Mathcad implementation treats the finite dimensional case.
Keywords
Banach spaces; convergence of numerical methods; iterative methods; mathematical operators; nonlinear equations; Banach spaces; Halley-Altman method; Mathcad; Ostrowski-Kantorovich type convergence theorem; cubic convergence sphere; nonlinear operator equations; start iteration; Computer science; Convergence of numerical methods; Hafnium; Jacobian matrices; Mathematics; Noise measurement; Nonlinear equations; Scientific computing; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Symbolic and Numeric Algorithms for Scientific Computing, 2007. SYNASC. International Symposium on
Conference_Location
Timisoara
Print_ISBN
978-0-7695-3078-8
Type
conf
DOI
10.1109/SYNASC.2007.25
Filename
4438126
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