Interval Methods for Systems of Equations - Couverture rigide

Livre 23 sur 188: Encyclopedia of Mathematics and its Applications

Neumaier, A.

 
9780521331968: Interval Methods for Systems of Equations

Synopsis

An interval is a natural way of specifying a number that is specified only within certain tolerances.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521102148: Interval Methods for Systems of Equations

Edition présentée

ISBN 10 :  0521102146 ISBN 13 :  9780521102148
Editeur : Cambridge University Press, 2009
Couverture souple