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Numerical methods for equations and its applications

Author: Ioannis K Argyros; Yeol Je Cho; Said Hilout
Publisher: Boca Raton, FL : Science Publishers, 2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ioannis K Argyros; Yeol Je Cho; Said Hilout
OCLC Number: 808339322
Description: 1 online resource (viii, 462 pages)
Contents: INTRODUCTION NEWTON'S METHOD Convergence under Frechet differentiability. Convergence under twice Frechet differentiability. Newton's method on unbounded domains. Continuous analog of Newton's method. Interior point techniques. Regular smoothness. omega-convergence. Semilocal convergence and convex majorants. Local convergence and convex majorants. Majorizing sequences. SECANT METHOD Convergence. Least squares problems. Nondiscrete induction and Secant method. Nondiscrete induction and a double step Secant method. Directional Secant Methods. Efficient three step Secant methods. STEFFENSEN'S METHOD Convergence GAUSS-NEWTON METHOD Convergence. Average-Lipschitz conditions. NEWTON-TYPE METHODS Convergence with outer inverses. Convergence of a Moser-type Method. Convergence with slantly differentiable operator. A intermediate Newton method. INEXACT METHODS Residual control conditions. Average Lipschitz conditions. Two-step methods. Zabrejko-Zincenko-type conditions. WERNER'S METHOD Convergence analysis HALLEY'S METHOD Local convergence METHODS FOR VARIATIONAL INEQUALITIES Subquadratic convergent method. Convergence under slant condition. Newton-Josephy method. FAST TWO-STEP METHODS Semilocal convergence FIXED POINT METHODS Successive substitutions methods
Responsibility: Ioannis K. Argyros, Yeol Je Cho, Said Hilout.

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