Rounding Errors In Algebraic Processes PDF Download
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Author | : James Hardy Wilkinson |
Publisher | : Courier Corporation |
Total Pages | : 180 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9780486679990 |
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Elementary introduction to problem of cumulative effect of rounding errors in a very large number of arithmetical calculations—particularly applicable to computer operations. Simple representative analyses illustrate techniques. Topics include fundamental arithmetic operations, computations involving polynomials and matrix computations. Results deal exclusively with digital computers but are equally applicable to desk calculators. Bibliography.
Author | : James Hardy Wilkinson |
Publisher | : SIAM |
Total Pages | : 177 |
Release | : 2023-05-25 |
Genre | : Mathematics |
ISBN | : 1611977525 |
Download Rounding Errors in Algebraic Processes Book in PDF, ePub and Kindle
"[This book] combines a rigorous mathematical analysis with a practicality that stems from an obvious first-hand contact with the actual numerical computation. The well-chosen examples alone show vividly both the importance of the study of rounding errors and the perils of its neglect." A. A. Grau, SIAM Review (1966) Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner products, for both floating-point arithmetic and fixed-point arithmetic. The results are then applied in the error analyses of a variety of computations involving polynomials as well as the solution of linear systems, matrix inversion, and eigenvalue computations. The conditioning of these problems is investigated. The aim was to provide a unified method of treatment, and emphasis is placed on the underlying concepts. This book is intended for mathematicians, computer scientists, those interested in the historical development of numerical analysis, and students in numerical analysis and numerical linear algebra.
Author | : J H (James Hardy) Wilkinson |
Publisher | : Hassell Street Press |
Total Pages | : 176 |
Release | : 2021-09-09 |
Genre | : |
ISBN | : 9781014375476 |
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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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : National Physical Laboratory |
Publisher | : |
Total Pages | : 0 |
Release | : 1963 |
Genre | : Computers |
ISBN | : |
Download Rounding Errors in Algebraic Processes Book in PDF, ePub and Kindle
Author | : James H. Wilkinson |
Publisher | : |
Total Pages | : 161 |
Release | : 1963 |
Genre | : |
ISBN | : |
Download ROUNDING ERRORS IN ALGEBRAIC PROCESSES. BY J.H. WILKINSON. Book in PDF, ePub and Kindle
Author | : James Hardy Wilkinson |
Publisher | : |
Total Pages | : 0 |
Release | : 1969 |
Genre | : |
ISBN | : |
Download Rundungsfehler (Rounding errors in algebraic processes, dt.). Book in PDF, ePub and Kindle
Author | : John HENRY WILKINSON |
Publisher | : Springer |
Total Pages | : 450 |
Release | : 2013-12-17 |
Genre | : Mathematics |
ISBN | : 3662397781 |
Download Linear Algebra Book in PDF, ePub and Kindle
Author | : James H. Wilkinson |
Publisher | : |
Total Pages | : 161 |
Release | : 1963 |
Genre | : |
ISBN | : |
Download Rounding Errors in Algebraic Procecces Book in PDF, ePub and Kindle
Author | : José M. Laginha M. Palma |
Publisher | : Springer Science & Business Media |
Total Pages | : 612 |
Release | : 2008-12-18 |
Genre | : Computers |
ISBN | : 3540928588 |
Download High Performance Computing for Computational Science - VECPAR 2008 Book in PDF, ePub and Kindle
This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on High Performance Computing for Computational Science, VECPAR 2008, held in Toulouse, France, in June 2008. The 51 revised full papers presented together with the abstract of a surveying and look-ahead talk were carefully reviewed and selected from 73 submissions. The papers are organized in topical sections on parallel and distributed computing, cluster and grid computing, problem solving environment and data centric, numerical methods, linear algebra, computing in geosciences and biosciences, imaging and graphics, computing for aerospace and engineering, and high-performance data management in grid environments.
Author | : Götz Alefeld |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3709162807 |
Download Symbolic Algebraic Methods and Verification Methods Book in PDF, ePub and Kindle
The usual "implementation” of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems. (LEDA-Library by K. Mehlhorn et al., "Exact arithmetic with real numbers” by A. Edalat et al., Symbolic algebraic methods, verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. – This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum für Informatik, Schlo€ Dagstuhl, Germany, presenting the state of the art.