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Numerical Solution of Systems of Nonlinear Algebraic Equations - 1st Edition - ISBN: 9780121489502, 9781483269306

Numerical Solution of Systems of Nonlinear Algebraic Equations

1st Edition

Editors: George D. Byrne Charles A. Hall
eBook ISBN: 9781483269306
Imprint: Academic Press
Published Date: 28th January 1973
Page Count: 430
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Numerical Solution of Systems of Nonlinear Algebraic Equations contains invited lectures of the NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, held on July 10-14, 1972. This book is composed of 10 chapters and begins with the concepts of nonlinear algebraic equations in continuum mechanics. The succeeding chapters deal with the numerical solution of quasilinear elliptic equations, the nonlinear systems in semi-infinite programming, and the solution of large systems of linear algebraic equations. These topics are followed by a survey of some computational techniques for the nonlinear least squares problem. The remaining chapters explore the problem of nonlinear functional minimization, the modification methods, and the computer-oriented algorithms for solving system. These chapters also examine the principles of contractor theory of solving equations. This book will prove useful to undergraduate and graduate students.

Table of Contents



Nonlinear Algebraic Equations in Continuum Mechanics

The Numerical Solution of Quasilinear Elliptic Equations

Nonlinear Systems in Semi-Infinite Programming

On the Solution of Large Systems of Linear Algebraic Equations with Sparse, Positive Definite Matrices

Some Computational Techniques for the Nonlinear Least Squares Problem

The Problem of Minimizing Nonlinear Functionals I. Least Squares

Quasi-Newton, or Modification Methods

Computer Oriented Algorithms for Solving Systems of Simultaneous Nonlinear Algebraic Equations

On the Choice of Relaxation Parameters for Nonlinear Problems

The Contractor Theory of Solving Equations

Subject Index


No. of pages:
© Academic Press 1973
28th January 1973
Academic Press
eBook ISBN:

About the Editors

George D. Byrne

Charles A. Hall

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