Finite Precision Number Systems And Arithmetic PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Finite Precision Number Systems And Arithmetic PDF full book. Access full book title Finite Precision Number Systems And Arithmetic.
Author | : Peter Kornerup |
Publisher | : Cambridge University Press |
Total Pages | : 717 |
Release | : 2010-09-30 |
Genre | : Mathematics |
ISBN | : 113964355X |
Download Finite Precision Number Systems and Arithmetic Book in PDF, ePub and Kindle
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
Author | : Francoise Chaitin-Chatelin |
Publisher | : SIAM |
Total Pages | : 244 |
Release | : 1996-01-01 |
Genre | : Mathematics |
ISBN | : 0898713587 |
Download Lectures on Finite Precision Computations Book in PDF, ePub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : G. Alefeld |
Publisher | : Springer Science & Business Media |
Total Pages | : 228 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3709185777 |
Download Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) Book in PDF, ePub and Kindle
Author | : Norman Ross Scott |
Publisher | : Prentice Hall |
Total Pages | : 282 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : |
Download Computer Number Systems and Arithmetic Book in PDF, ePub and Kindle
Author | : Earl E Swartzlander |
Publisher | : World Scientific |
Total Pages | : 486 |
Release | : 2015-03-17 |
Genre | : Mathematics |
ISBN | : 9814641480 |
Download Computer Arithmetic Book in PDF, ePub and Kindle
This is the new edition of the classic book Computer Arithmetic in three volumes published originally in 1990 by IEEE Computer Society Press. As in the original, the book contains many classic papers treating advanced concepts in computer arithmetic, which is very suitable as stand-alone textbooks or complementary materials to textbooks on computer arithmetic for graduate students and research professionals interested in the field. Told in the words of the initial developers, this book conveys the excitement of the creators, and the implementations provide insight into the details necessary to realize real chips. This second volume presents topics on error tolerant arithmetic, digit on-line arithmetic, number systems, and now in this new edition, a topic on implementations of arithmetic operations, all wrapped with an updated overview and a new introduction for each chapter. This volume is part of a 3 volume set: Computer Arithmetic Volume I Computer Arithmetic Volume II Computer Arithmetic Volume III The full set is available for sale in a print-only version. Contents:Error Tolerant ArithmeticOn-Line ArithmeticVLSI Adder ImplementationsVLSI Multiplier ImplementationsFloating-Point VLSI ChipsNumber RepresentationImplementations Readership: Graduate students and research professionals interested in computer arithmetic. Key Features:It reprints the classic papersIt covers advanced arithmetic operationsIt does this in the words of the original creatorsKeywords:Computer Arithmetic;Fault Tolerant;Arithmetic;On-Line Arithmetic;Adder Implementations;Multiplier Implementations;Floating Point Chips;Number Representation;Implementations
Author | : Jean-Michel Muller |
Publisher | : Springer Science & Business Media |
Total Pages | : 579 |
Release | : 2009-11-11 |
Genre | : Mathematics |
ISBN | : 0817647058 |
Download Handbook of Floating-Point Arithmetic Book in PDF, ePub and Kindle
Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
Author | : Nicholas J. Higham |
Publisher | : SIAM |
Total Pages | : 710 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 9780898718027 |
Download Accuracy and Stability of Numerical Algorithms Book in PDF, ePub and Kindle
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Author | : Petr Kurka |
Publisher | : Springer |
Total Pages | : 229 |
Release | : 2016-06-01 |
Genre | : Technology & Engineering |
ISBN | : 3319333674 |
Download Dynamics of Number Systems Book in PDF, ePub and Kindle
This book is a source of valuable and useful information on the topics of dynamics of number systems and scientific computation with arbitrary precision. It is addressed to scholars, scientists and engineers, and graduate students. The treatment is elementary and self-contained with relevance both for theory and applications. The basic prerequisite of the book is linear algebra and matrix calculus.
Author | : Amir Sabbagh Molahosseini |
Publisher | : Springer |
Total Pages | : 389 |
Release | : 2017-03-20 |
Genre | : Technology & Engineering |
ISBN | : 3319497421 |
Download Embedded Systems Design with Special Arithmetic and Number Systems Book in PDF, ePub and Kindle
This book introduces readers to alternative approaches to designing efficient embedded systems using unconventional number systems. The authors describe various systems that can be used for designing efficient embedded and application-specific processors, such as Residue Number System, Logarithmic Number System, Redundant Binary Number System Double-Base Number System, Decimal Floating Point Number System and Continuous Valued Number System. Readers will learn the strategies and trade-offs of using unconventional number systems in application-specific processors and be able to apply and design appropriate arithmetic operations from these number systems to boost the performance of digital systems.
Author | : Michael L. Overton |
Publisher | : SIAM |
Total Pages | : 105 |
Release | : 2001-01-01 |
Genre | : Computers |
ISBN | : 0898715717 |
Download Numerical Computing with IEEE Floating Point Arithmetic Book in PDF, ePub and Kindle
Mathematics of Computing -- Numerical Analysis.