Format:
1 Online-Ressource (xvi, 255 pages)
,
digital, PDF file(s).
ISBN:
9780511526473
Series Statement:
Encyclopedia of mathematics and its applications volume 37
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521102148
Additional Edition:
ISBN 9780521331968
Additional Edition:
ISBN 9780521331968
Additional Edition:
ISBN 9780521102148
Additional Edition:
Erscheint auch als Neumaier, Arnold Interval methods for systems of equations Cambridge [u.a.] : Cambridge Univ. Press, 1990 ISBN 052133196X
Additional Edition:
Print version ISBN 9780521331968
Language:
English
Subjects:
Mathematics
Keywords:
Reelle Funktion
;
Intervallalgebra
;
Intervallalgebra
;
Gleichungssystem
;
Numerisches Verfahren
;
Intervallalgebra
DOI:
10.1017/CBO9780511526473
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