Numerical Solution of Systems of Nonlinear Algebraic Equations
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Numerical Solution of Systems of Nonlinear Algebraic Equations
About This Book
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.
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Table of contents
- Front Cover
- Numerical Solution of Systems of Nonlinear Algebraic Equations
- Copyright Page
- Table of Contents
- CONTRIBUTORS
- PREFACE
- CHAPTER 1. NONLINEAR ALGEBRAIC EQUATIONS IN CONTINUUM MECHANICS
- CHAPTER 2. THE NUMERICAL SOLUTION OF QUASILINEAR ELLIPTIC EQUATIONS
- CHAPTER 3. NONLINEAR SYSTEMS IN SEMI-INFINITE PROGRAMMING
- CHAPTER 4. ON THE SOLUTION OF LARGE SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS WITH SPARSE, POSITIVE DEFINITE MATRICES
- CHAPTER 5. SOME COMPUTATIONAL TECHNIQUES FOR THE NONLINEAR LEAST SQUARES PROBLEM
- CHAPTER 6. THE PROBLEM OF MINIMIZING NONLINEAR FUNCTIONALS
- CHAPTER 7. QUASI-NEWTON, OR MODIFICATION METHODS
- CHAPTER 8. COMPUTER ORIENTED ALGORITHMS FOR SOLVING SYSTEMS OF SIMULTANEOUS NONLINEAR ALGEBRAIC EQUATIONS
- CHAPTER 9. ON THE CHOICE OF RELAXATION PARAMETERS FOR NONLINEAR PROBLEMS
- CHAPTER 10. THE CONTRACTOR THEORY OF SOLVING EQUATIONS
- SUBJECT INDEX