Sale!

Optimal Solution of Nonlinear Equations 1st Edition by Krzysztof A Sikorski ISBN 0195106903 9780195106909

Original price was: $50.00.Current price is: $35.00.

Optimal Solution of Nonlinear Equations First Edition Krzysztof A. Sikorski Digital Instant Download

Author(s): Krzysztof A. Sikorski
ISBN(s): 9780195106909, 0195106903
Edition: First Edition
File Details: PDF, 10.45 MB
Year: 2001
Language: english
SKU: EB-997704 Category: Tag:

Optimal Solution of Nonlinear Equations 1st Edition by Krzysztof A Sikorski – Ebook PDF Instant Download/Delivery: 0195106903, 9780195106909
Full download Optimal Solution of Nonlinear Equations 1st Edition after payment

Product details:

ISBN 10: 0195106903 
ISBN 13: 9780195106909
Author: Krzysztof A Sikorski

Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.

Optimal Solution of Nonlinear Equations 1st Table of contents:

1 Introduction
1.1 Basic Concepts
1.2 Formulation of the Problem
1.2.1 Computational Methods
1.2.2 Optimal Complexity Methods
1.2.3 Asymptotic Setting
1.2.4 Exercises
1.3 Annotations
Bibliography
2 Nonlinear Equations
2.1 Univariate Problems
2.1.1 Optimality of the Bisection Method
2.1.2 Root Criterion in C[sup(∞)]2.1.3 Residual Criterion in W[sup(r)][sub(∞)]2.1.4 General Error Criterion in C[sup(∞)] and W[sup(∞)][sub(r)]2.1.5 Polynomial Equations
2.1.6 Asymptotic Optimality of the Bisection Method
2.1.7 Exercises
2.2 Multivariate Problems
2.2.1 Function with Nonzero Topological Degree
2.2.2 Lipschitz Functions
2.2.3 Exercises
2.3 Annotations
2.3.1 Overview and brief history
2.3.2 Specific Comments
Bibliography
3 Fixed Points-Contractive Functions
3.1 Univariate Problems
3.1.1 Relative Error Criterion
3.1.2 Absolute Error Criterion
3.1.3 Exercises
3.2 Multivariate Problems
3.2.1 A Constructive Lemma
3.2.2 Ball Iteration
3.2.3 Ellipsoid Iteration
3.2.4 Centroid Method
3.2.5 Numerical Tests
3.2.6 Exercises
3.3 Annotations
3.3.1 Specific Comments
Bibliography
4 Fixed Points-Noncontractive Functions
4.1 Univariate Problems
4.1.1 Minimal Cardinality Number
4.1.2 The FPE-A Method
4.1.3 Exercises
4.2 Multivariate Problems
4.2.1 Absolute Error Criterion
4.2.2 Exercises
4.3 Annotations
4.3.1 General Comments
4.3.2 Residual Error Criterion
4.3.3 Specific Comments
Bibliography
5 Topological Degree Computation
5.1 Two-Dimensional Lipschitz Functions
5.1.1 Basic Definitions
5.1.2 Lower Bound on the Minimal Cardinality Number
5.1.3 Minimal Cardinality Number
5.1.4 Complexity of the Problem
5.1.5 Numerical Experiments
5.1.6 Exercises
5.2 Lipschitz Function in d Dimensions
5.2.1 Basic Definitions
5.2.2 Information N[sup(*)]5.2.3 Algorithm &#216[sup(*)] Using Information N[sup(*)]5.2.4 Lower Bound on the Minimal
5.2.5 Exercises
5.3 Annotations
5.3.1 Specific Comments

People also search for Optimal Solution of Nonlinear Equations 1st:

how to solve nonlinear equations using elimination
    
how to solve nonlinear systems by elimination
    
how to find solutions of nonlinear equations
    
an optimal solution to in a linear optimization model is
    
an optimal solution to a linear programming problem must lie

Tags: Krzysztof A Sikorski, Optimal Solution, Nonlinear Equations