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Synopsis
Excerpt from On Error Analysis in Arithmetic With Varying Relative Precision
Tion X, are about as accurate as with conventional floating point. As the thenumbers become very large (or very small), the relative precision of each operation gradually.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1333187742
- ISBN 13 9781333187743
- BindingPaperback
- LanguageEnglish
- Number of pages26
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On Error Analysis in Arithmetic With Varying Relative Precision
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book provides an in-depth analysis of the error analysis in arithmetic with varying relative precision. The author proposes two new floating-point arithmetics that aim to eliminate overflows and underflows from most computations. These arithmetics redistribute the available numbers to spread out the largest and smallest numbers much more thinly than in standard floating-point, thus achieving a larger range at the cost of lower precision at the ends of the range. This book demonstrates that for many codes, this eliminated effort will reappear in the error analyses needed to ascertain or guarantee the accuracy of the computed solution. Thus, reliability with respect to over/underflow has been traded for reliability with respect to roundoff. The author argues that as a result of this decreased relative accuracy at the extremes of the range, more care must be taken in doing the error analysis of many algorithms than is necessary in conventional floating-point. This book is essential reading for computer scientists, mathematicians, and engineers interested in numerical analysis and computer arithmetic. 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 # 9781333187743_0
Quantity: Over 20 available
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On Error Analysis in Arithmetic With Varying Relative Precision 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-9781333187743
Quantity: 15 available
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On Error Analysis in Arithmetic With Varying Relative Precision 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-9781333187743
Quantity: 15 available