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Methods for Solving Systems of Nonlinear Equations

1998-01-01 Mathematics
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Release : 1998-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 012/5 ( reviews)

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Book Synopsis Methods for Solving Systems of Nonlinear Equations by : Werner C. Rheinboldt

Download or read book Methods for Solving Systems of Nonlinear Equations written by Werner C. Rheinboldt. This book was released on 1998-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this new version is now largely self-contained and includes essential proofs. Additions have been made to almost every chapter, including an introduction to the theory of inexact Newton methods, a basic theory of continuation methods in the setting of differentiable manifolds, and an expanded discussion of minimization methods. New information on parametrized equations and continuation incorporates research since the first edition.

Iterative Methods for Solving Nonlinear Equations and Systems

2019-12-06 Mathematics
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Release : 2019-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 405/5 ( reviews)

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Book Synopsis Iterative Methods for Solving Nonlinear Equations and Systems by : Juan R. Torregrosa

Download or read book Iterative Methods for Solving Nonlinear Equations and Systems written by Juan R. Torregrosa. This book was released on 2019-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Methods for Solving Systems of Nonlinear Equations

1998-01-01 Mathematics
Download Methods for Solving Systems of Nonlinear Equations PDF Online Free

Author :
Release : 1998-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 15X/5 ( reviews)

GET EBOOK


Book Synopsis Methods for Solving Systems of Nonlinear Equations by : Werner C. Rheinboldt

Download or read book Methods for Solving Systems of Nonlinear Equations written by Werner C. Rheinboldt. This book was released on 1998-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the ideas behind non linear equations as well as their theoretical foundations and properties.

Iterative Methods for Linear and Nonlinear Equations

1995-01-01 Mathematics
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Release : 1995-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 944/5 ( reviews)

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Book Synopsis Iterative Methods for Linear and Nonlinear Equations by : C. T. Kelley

Download or read book Iterative Methods for Linear and Nonlinear Equations written by C. T. Kelley. This book was released on 1995-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Linear and nonlinear systems of equations are the basis for many, if not most, of the models of phenomena in science and engineering, and their efficient numerical solution is critical to progress in these areas. This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods, incorporation of inexactness and noise into the analysis, new proofs and implementations of Broyden's method, and globalization of inexact Newton methods. Examples, methods, and algorithmic choices are based on applications to infinite dimensional problems such as partial differential equations and integral equations. The analysis and proof techniques are constructed with the infinite dimensional setting in mind and the computational examples and exercises are based on the MATLAB environment.

Solving Nonlinear Equations with Newton's Method

2003-01-01 Mathematics
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Release : 2003-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 898/5 ( reviews)

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Book Synopsis Solving Nonlinear Equations with Newton's Method by : C. T. Kelley

Download or read book Solving Nonlinear Equations with Newton's Method written by C. T. Kelley. This book was released on 2003-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.

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