ENGLISH

Interval methods for systems of equations

By A. Neumaier

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
9780521102148, 0521102146
Language
english
Format
RAR
Filesize
9 MB (9229413 bytes)
Series
Encyclopedia of Mathematics and its Applications
Edition
1
Pages
272\0
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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 rigor. For reader convenience, the book contains various proofs from linear algebra (Perron-Frobenius theory, M- and H-matrices) and analysis (existence of solutions to nonlinear systems).

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