Interval Methods for Systems of Equations
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Interval Methods for Systems of Equations by Arnold Neumaier
Book DescriptionAn 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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Book DetailsISBN: 9780521331968
(234mm x 156mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Jan-1991
Country of Publication: United Kingdom
Books By Author Arnold Neumaier
Interval Methods for Systems of Equations, Paperback (December 2008)
An interval is a natural way of specifying a number that is specified only within certain tolerances.
Introduction to Numerical Analysis, Paperback (October 2001)» View all books by Arnold Neumaier
This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.
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