Numerical methods for equations and its applications
 Author/Creator
 Argyros, Ioannis K.
 Language
 English.
 Imprint
 Boca Raton : CRC Press, c2012.
 Physical description
 viii, 465 p. : ill. ; 24 cm.
Access
Available online

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QA246 .A74 2012

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QA246 .A74 2012
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Contributors
 Contributor
 Cho, Yeol Je.
 Hilout, Saïd
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [415]462) and index.
 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. omegaconvergence. 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 GAUSSNEWTON METHOD Convergence. AverageLipschitz conditions. NEWTONTYPE METHODS Convergence with outer inverses. Convergence of a Mosertype Method. Convergence with slantly differentiable operator. A intermediate Newton method. INEXACT METHODS Residual control conditions. Average Lipschitz conditions. Twostep methods. ZabrejkoZincenkotype conditions. WERNER'S METHOD Convergence analysis HALLEY'S METHOD Local convergence METHODS FOR VARIATIONAL INEQUALITIES Subquadratic convergent method. Convergence under slant condition. NewtonJosephy method. FAST TWOSTEP METHODS Semilocal convergence FIXED POINT METHODS Successive substitutions methods.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book introduces advanced numericalfunctional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in inputoutput system, in the solution of nonlinear and linear differential equations, and optimization problem.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout.
 ISBN
 9781578087532
 1578087538