Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) - Image 1

£123.08

CRC Press Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Name: Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Brand: CRC Press
Price: 120.0 GBP
Availability: InStock

Computer Science

Price History & Forecast

Last 18 days • 18 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 18 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £120 (15 days, 83.3%)

Price range: £120 - £123

Price levels: 2 different prices over 18 days

Description

Product Description Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s majorization principle which avoids unnecessary simplifying assumptions like differentiability of the operator or solvability of the equation. These analyses are carried out under a more general assumption about degree of continuity of the operator than traditional Lipschitz continuity: regular continuity. Key Features The methods discussed are analyzed under the assumption of regular continuity of divided difference operator, which is more general and more flexible than the traditional Lipschitz continuity. An attention is given to criterions for comparison of merits of various methods and to the related concept of optimality of a method of certain class. Many publications on methods for solving nonlinear operator equations discuss methods that involve inversion of linearization of the operator, which task is highly problematic in infinite dimensions. Accessible for anyone with minimal exposure to nonlinear functional analysis. Review "The book is well organised and clearly written and presents a limited but illustrative number of computational examples that are intended to provide results that can be used to validate the reader's own implementations and to give a sense of how the algorithms perform. It will be accessible to anyone who has reasonable knowledge of basic nonlinear functional analysis. Among many other positive features of the book, I especially appreciate the fact that Chapters 2-7 begin with a motivation, give numerical examples and end by stating research project(s), thus enabling and challenging interested readers to pursue further developments. The book will be very useful to graduate students and young researchers beginning their scientific careers in the field of computational mathematics and to anyone else interested in numerical analysis." - Vasile Berinde, Mathematical Reviews, August 2017

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 1498758924
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 06 October 2016
Listed Since: 11 January 2016

Barcode

No barcode data available

CRC Press Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Iterative Methods for Solving Nonlinear Equations and Systems

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications

Nonlinear Differential Equations in Ordered Spaces (Monographs and Surveys in Pure and Applied Mathematics)

Chapman and Hall/CRC Conjugate Gradient Type Methods Book

Iterative Methods and Their Dynamics with Applications: A Contemporary Study

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications: Volume II (Mathematics Research Developments Series)

Iterative Methods and Their Dynamics with Applications: A Contemporary Study

Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications -- Volume I (Mathematics Research Developments Series)

Nonlinear Analysis and Optimization I (Contemporary Mathematics)

An Operator Theory Problem Book

Iterative Optimization in Inverse Problems (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Methods for Partial Differential Equations: Qualitative Properties of Solutions, Phase Space Analysis, Semilinear Models

Bernstein Operators and Their Properties

Approximation-solvability of Nonlinear Functional and Differential Equations: 171 (Chapman & Hall/CRC Pure and Applied Mathematics)

Iterative Splitting Methods for Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)

Nonlinear Analysis, Differential Equations, and Applications: 173 (Springer Optimization and Its Applications, 173)

Applied Iterative Methods

Birkhauser Weighted Polynomial Approximation Mathematics Book

Intelligent Mathematics: Computational Analysis: 5 (Intelligent Systems Reference Library, 5)

Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2 (International Mathematical Series, 2)

Parabolicity, Volterra Calculus, and Conical Singularities

A Survey of Preconditioned Iterative Methods: 328 (Chapman & Hall/CRC Research Notes in Mathematics Series)

CRC Press: Higher Order Functional Differential Equations Book

Nonlinear Functional Evolutions in Banach Spaces