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Interval methods for systems of equations /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1990.
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| Colección: | Encyclopedia of mathematics and its applications ;
v. 37. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xvi, 255 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 231-248) and indexes. |
| ISBN: | 9781107087781 1107087783 0511526474 9780511526473 1139886223 9781139886222 1107102537 9781107102538 0511943970 9780511943973 0521102146 9780521102148 1107094038 9781107094031 |