Numerical Solution of Systems of Nonlinear Algebraic Equations

Numerical Solution of Systems of Nonlinear Algebraic Equations

1st Edition - January 28, 1973

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  • Editors: George D. Byrne, Charles A. Hall
  • eBook ISBN: 9781483269306

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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

  • Contributors


    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

Product details

  • No. of pages: 430
  • Language: English
  • Copyright: © Academic Press 1973
  • Published: January 28, 1973
  • Imprint: Academic Press
  • eBook ISBN: 9781483269306

About the Editors

George D. Byrne

Charles A. Hall

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