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OverviewThe book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. This is the first book in this field, and can be used by a variety of specialists. The material is self-contained, and the results can be used in the development of reliable computational algorithms.; A large number of examples and graphical illustrations are given. It is written by prominent specialists in the field. Full Product DetailsAuthor: M H Konstantinov , Gu D Wei , Volker L Mehrmann , Petko PetkovPublisher: Elsevier Science & Technology Imprint: Elsevier Science & Technology ISBN: 9786611048723ISBN 10: 6611048723 Publication Date: 20 May 2003 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |