Interval Methods for Systems of Equations Contributor(s): Neumaier, A. (Author), Neumaier, Arnold (Author), Rota, G. -C (Editor) |
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ISBN: 052133196X ISBN-13: 9780521331968 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: January 1991 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Applied - Mathematics | Mathematical Analysis |
Dewey: 519.4 |
LCCN: 89070812 |
Series: Cambridge Middle East Library |
Physical Information: 0.63" H x 6.14" W x 9.21" (1.23 lbs) 272 pages |