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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521102148
eBay Product ID (ePID)
96242613
Product Key Features
Author
A. Neumaier
Publication Name
Interval Methods for Systems of Equations
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2008
Type
Textbook
Number of Pages
272 Pages
Dimensions
Item Height
234mm
Item Width
156mm
Item Weight
390g
Additional Product Features
Title_Author
A. Neumaier
Series Title
Encyclopedia of Mathematics and Its Applications
Country/Region of Manufacture
United Kingdom
Best Selling in Adult Learning & University
Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Adult Learning & University