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Item Details
Title: INTERATIVE SOLUTION OF NONLINEAR EQUATIONS IN SEVERAL VARIABLES
By: J. M. Ortega, Werner C. Rheinboldt, Robert O'Malley
Format: Paperback

List price: £62.00


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ISBN 10: 0898714613
ISBN 13: 9780898714616
Publisher: SOCIETY FOR INDUSTRIAL & APPLIED MATHEMATICS,U.S.
Pub. date: 1 January, 1987
Series: Classics in Applied Mathematics v. 30
Pages: 598
Description: Provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time.
Synopsis: Provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time. Although the field has developed since the book originally appeared, it remains a major background reference for the literature before 1970. In particular, Part II contains the only relatively complete introduction to the existence theory for finite-dimensional nonlinear equations from the viewpoint of computational mathematics. Over the years semilocal convergence results have been obtained for various methods, especially with an emphasis on error bounds for the iterates. The results and proof techniques introduced here still represent a solid basis for this topic.
Illustrations: bibliography, indexes
Publication: US
Imprint: Society for Industrial & Applied Mathematics,U.S.
Returns: Returnable
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ASYMPTOTIC APPROXIMATIONS OF INTEGRALS (PB)
BASIC CONCEPTS OF PROBABILITY AND STATISTICS (PB)
BOUNDARY VALUE PROBLEMS OF MATHEMATICAL PHYSICS (PB)
CONVEX ANALYSIS AND VARIATIONAL PROBLEMS (PB)
DYNAMIC NONCOOPERATIVE GAME THEORY (PB)
FINITE ELEMENT SOLUTION OF BOUNDARY VALUE PROBLEMS (PB)
HISTORICAL DEVELOPMENTS IN SINGULAR PERTURBATIONS (HB)
INITIAL-BOUNDARY VALUE PROBLEMS AND THE NAVIER-STOKES EQUATIONS (PB)
INTRODUCTION TO MATRIX ANALYSIS (PB)
INTRODUCTION TO NUMERICAL CONTINUATION METHODS (PB)
INTRODUCTION TO PARALLEL AND VECTOR SOLUTION OF LINEAR SYSTEMS (HB)
INTRODUCTION TO PARALLEL AND VECTOR SOLUTION OF LINEAR SYSTEMS (PB)
LANCZOS ALGORITHMS FOR LARGE SYMMETRIC EIGENVALUE COMPUTATIONS (PB)
LINEAR DIFFERENTIAL OPERATORS (PB)
MATHEMATICAL ANALYSIS OF VISCOELASTIC FLOWS (PB)
MATHEMATICAL MODELS (PB)
MATHEMATICAL MODELS IN BIOLOGY (PB)
MATHEMATICAL OPTIMIZATION AND ECONOMIC THEORY (PB)
MATHEMATICAL THEORY OF RELIABILITY (PB)
MATHEMATICS APPLIED TO DETERMINISTIC PROBLEMS IN THE NATURAL SCIENCES (PB)
MATRIX THEORY: A SECOND COURSE (PB)
METHODS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS (PB)
METHODS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS (PB)
METHODS OF MATHEMATICAL ECONOMICS (PB)
MULTIPLE DECISION PROCEDURES (PB)
NON-LINEAR SYSTEMS ANALYSIS (PB)
NONHOLONOMIC MOTION OF RIGID MECHANICAL SYSTEMS FROM A DAE VIEWPOINT (PB)
NONLINEAR PROGRAMMING (PB)
NONLINEAR PROGRAMMING (PB)
NUMERICAL ANALYSIS (PB)
NUMERICAL METHODS FOR UNCONSTRAINED OPTIMIZATION AND NONLINEAR EQUATIONS (PB)
OPTIMAL DESIGN OF EXPERIMENTS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS IN THEORY AND PRACTICE (PB)
PERTURBATIONS: THEORY AND METHODS (PB)
PRINCIPLES OF COMPUTERIZED TOMOGRAPHIC IMAGING (PB)
SCIENTIFIC COMPUTING (PB)
SCIENTIFIC COMPUTING AND DIFFERENTIAL EQUATIONS (HB)
SCIENTIFIC COMPUTING WITH ORDINARY DIFFERENTIAL EQUATIONS (PB)
STATISTICAL DESIGN AND ANALYSIS OF EXPERIMENTS (PB)
STOCHASTIC PROCESSES (PB)
THE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS (PB)
THE MATHEMATICS OF COMPUTERIZED TOMOGRAPHY (PB)
THE SYMMETRIC EIGENVALUE PROBLEM (PB)
TIME SERIES (PB)

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