Numerical Methods for Equations and its Applications

Numerical Methods for Equations and its Applications

by Ioannis K. Argyros, Yeol J. Cho, Said Hilout

Hardcover

$115.00

Product Details

ISBN-13: 9781578087532
Publisher: Taylor & Francis
Publication date: 06/05/2012
Pages: 474
Product dimensions: 6.12(w) x 9.25(h) x (d)

Table of Contents

INTRODUCTION
NEWTON’S METHOD

Convergence under Fréchet differentiability. Convergence under twice Fréchet differentiability. Newton’s method on unbounded domains. Continuous analog of Newton’s method. Interior point techniques. Regular smoothness. ω-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

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