ENGLISH

Interval methods for systems of equations

By A. Neumaier

Book information

Publisher
Cambridge University Press
Year
1990
ISBN
9780521331968, 052133196X
LCC
QA297.75 .N49 1990
Open Library ID
OL2225914M
Language
english
Format
DJVU
Filesize
2 MB (1781810 bytes)
Series
Encyclopedia of mathematics and its applications 37
Pages
270\270
Library
Kolxo3
DPI
300
Scanned
yes
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 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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