9781332890002 - on condition numbers and the distance to the nearest ill-posed problem (classic reprint): december 1985: december 1985 (classic reprint) de demmel, james (3 resultados)
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Paperback. Condición: New. Print on Demand. This book focuses on the relationship between a problem's condition number and the distance to the nearest ill-posed problem. The condition number measures the sensitivity of the answer to small changes in the input, and an ill-posed problem is one with an infinite condition number. Th…e author shows that for many problems in numerical analysis, there is a simple relationship between the condition number and the distance to the nearest ill-posed problem. This relationship is explained using differential inequalities and can be used to derive upper and lower bounds on the distance to the nearest ill-posed problem. The author also discusses the implications of this relationship for the conditioning of matrix inversion, eigendecompositions, polynomial zero finding, and pole assignment in linear control systems. Overall, this book provides a unified and insightful approach to understanding the conditioning of numerical problems and the distance to the nearest ill-posed problem. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
