Interval Methods for Systems of Equations
by
A. Neumaier
Book Details
Format
Paperback / Softback
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
0521102146
ISBN-13
9780521102148
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 18th, 2008
Print length
272 Pages
Weight
402 grams
Dimensions
23.50 x 15.60 x 1.50 cms
Product Classification:
Numerical analysis
Ksh 10,100.00
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An interval is a natural way of specifying a number that is specified only within certain tolerances.
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.
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