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Interval Methods for Systems of Equations : Encyclopedia of Mathematics and Its Applications - Arnold Neumaier

Interval Methods for Systems of Equations

Encyclopedia of Mathematics and Its Applications

By: Arnold Neumaier, G.-C. Rota (Editor), B. Doran (Editor), M. Ismail (Editor), T. Y. Lam (Editor)

Hardcover

Published: 25th January 1991
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An interval is a natural way of specifying a number that is specified only within certain tolerances. Interval analysis consists of the tools and methods needed to solve linear and nonlinear systems of equations in the presence of data uncertainties. Applications include the sensitivity analysis of solutions of equations depending on parameters, the solution of global nonlinear problems, and the verification of results obtained by finite-precision arithmetic. In this book emphasis is laid on those aspects of the theory which are useful in actual computations. On the other hand, the theory is developed with full mathematical rigour. In order to keep the book self-contained, various results from linear algebra (Perron-Frobenius theory, M- and H- matrices) and analysis (existence of solutions to nonlinear systems) are proved, often from a novel and more general viewpoint. An extensive bibliography is included.

Preface
Symbol index
Basic properties of interval arithmetic
Enclosures for the range of a function
Matrices and sublinear mappings
The solution of square linear systems of equations
Nonlinear systems of equations
Hull computation
References
Author index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521331968
ISBN-10: 052133196X
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 25th January 1991
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 1.6
Weight (kg): 0.56