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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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Seller: Revaluation Books, Exeter, United Kingdom
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Add to basketPaperback. Condition: Brand New. 28 pages. 9.02x5.98x0.06 inches. In Stock.
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Seller: Forgotten Books, London, United Kingdom
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Add to basketPaperback. 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: CitiRetail, Stevenage, United Kingdom
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Add to basketPaperback. Condition: new. Paperback. This work explores the relationship between condition numbers and the distance to the nearest ill-posed problem. It provides a rigorous mathematical analysis of condition numbers, particularly in the context of numerical stability and error analysis. The study focuses on understanding how sensitive a problem is to small changes in its input data and investigates the proximity to problems for which solutions are undefined or highly unstable. Intended for researchers and graduate students in mathematics, computer science, and engineering, "On Condition Numbers and the Distance to the Nearest Ill-posed Problem" offers valuable insights into the theoretical foundations of numerical computation and its practical implications. The concepts discussed are crucial for designing robust numerical algorithms and assessing the reliability of computational results.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Seller: Forgotten Books, London, United Kingdom
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Add to basketPaperback. Condition: New. Print on Demand. This book explores the relationship between the condition number of a problem, a measure of how much its solution changes in response to small changes in its data, and the distance to the nearest ill-posed problem, a problem with an infinite condition number. The author shows that for many important problems, including matrix inversion, eigenvalue computation, and polynomial root finding, the condition number can be used to estimate how close a problem is to being ill-posed. This estimate can be used to determine how much effort should be put into solving a problem, and to guide the development of algorithms for solving ill-posed problems. 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: CitiRetail, Stevenage, United Kingdom
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Add to basketHardcover. Condition: new. Hardcover. This work explores the relationship between condition numbers and the distance to the nearest ill-posed problem. It provides a rigorous mathematical analysis of condition numbers, particularly in the context of numerical stability and error analysis. The study focuses on understanding how sensitive a problem is to small changes in its input data and investigates the proximity to problems for which solutions are undefined or highly unstable. Intended for researchers and graduate students in mathematics, computer science, and engineering, "On Condition Numbers and the Distance to the Nearest Ill-posed Problem" offers valuable insights into the theoretical foundations of numerical computation and its practical implications. The concepts discussed are crucial for designing robust numerical algorithms and assessing the reliability of computational results.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Published by LIGHTNING SOURCE INC, 2015
ISBN 10: 1342068564 ISBN 13: 9781342068569
Language: English
Seller: moluna, Greven, Germany
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Published by Creative Media Partners, LLC Mai 2025, 2025
ISBN 10: 1024200078 ISBN 13: 9781024200072
Language: English
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Add to basketBuch. Condition: Neu. Neuware.
Published by Creative Media Partners, LLC Sep 2015, 2015
ISBN 10: 1342068564 ISBN 13: 9781342068569
Language: English
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Add to basketBuch. Condition: Neu. Neuware - This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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Seller: Revaluation Books, Exeter, United Kingdom
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Add to basketPaperback. Condition: Brand New. 28 pages. 9.02x5.98x0.06 inches. In Stock. This item is printed on demand.