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 | : Peter Kornerup |
Publisher | : Cambridge University Press |
Total Pages | : 717 |
Release | : 2010-09-30 |
Genre | : Mathematics |
ISBN | : 0521761352 |
Download Finite Precision Number Systems and Arithmetic Book in PDF, ePub and Kindle
This comprehensive reference volume, suitable for graduate teaching, includes problems, exercises, solutions and an extensive bibliography.
Author | : Southern Methodist University. Dept. of Computer Science and Engineering |
Publisher | : |
Total Pages | : 50 |
Release | : 1983 |
Genre | : Computer arithmetic |
ISBN | : |
Download Finite precision rational arithmetic: slash number systems Book in PDF, ePub and Kindle
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 | : |
Publisher | : |
Total Pages | : |
Release | : 1983 |
Genre | : |
ISBN | : |
Download DAIMI PB. Book in PDF, ePub and Kindle
Author | : P. Tsipouras |
Publisher | : |
Total Pages | : 13 |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Impact of Finite Precision Arithmetic on Algorithm Design - Book in PDF, ePub and Kindle
Discussed briefly is floating point computation as performed on a typical digital computer. Our objective is two-fold: to illustrate the peculiarities of arithmetic in such an environment caused by the imprecise representation of the real number system, and to indicate how various choices in representation and arithmetic algorithms impinge on mathematical software.
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 | : Gérard Meurant |
Publisher | : Springer Nature |
Total Pages | : 686 |
Release | : 2020-10-02 |
Genre | : Mathematics |
ISBN | : 3030552519 |
Download Krylov Methods for Nonsymmetric Linear Systems Book in PDF, ePub and Kindle
This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods’ implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods. This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.