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On Condition Numbers and the Distance to the Nearest Ill-Posed Problem: December 1985 (Classic Reprint) - Softcover
Synopsis
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. The 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.
"synopsis" may belong to another edition of this title.
- PublisherForgotten Books
- Publication date2024
- ISBN 10 1332890008
- ISBN 13 9781332890002
- BindingPaperback
- LanguageEnglish
- Number of pages27
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On Condition Numbers and the Distance to the Nearest Ill-Posed Problem
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: 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. The 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. Seller Inventory # 9781332890002_0
Quantity: Over 20 available
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On Condition Numbers and the Distance to the Nearest IllPosed Problem December 1985 Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332890002
Quantity: 15 available
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On Condition Numbers and the Distance to the Nearest IllPosed Problem December 1985 Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332890002
Quantity: 15 available
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On Condition Numbers and the Distance to the Nearest Ill-Posed Problem: December 1985 (Classic Reprint)
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 28 pages. 9.02x5.98x0.06 inches. In Stock. Seller Inventory # __1332890008
Quantity: 1 available
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On Condition Numbers and the Distance to the Nearest Ill-Posed Problem: December 1985 (Classic Reprint)
Print on DemandSeller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 28 pages. 9.02x5.98x0.06 inches. In Stock. This item is printed on demand. Seller Inventory # 1332890008
Quantity: 1 available