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Titlebook: Handbook of Floating-Point Arithmetic; Jean-Michel Muller,Nicolas Brisebarre,Serge Torres Book 20101st edition Birkh�user Boston 2010 Algo

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发表于 2025-3-21 19:39:33 | 显示全部楼层 |阅读模式
书目名称Handbook of Floating-Point Arithmetic
编辑Jean-Michel Muller,Nicolas Brisebarre,Serge Torres
视频video
概述First comprehensive treatment of floating-point arithmetic.Provides a complete overview of a topic that is widely used to implement real-number arithmetic on modern computers, yet is far from being fu
图书封面Titlebook: Handbook of Floating-Point Arithmetic;  Jean-Michel Muller,Nicolas Brisebarre,Serge Torres Book 20101st edition Birkh�user Boston 2010 Algo
描述.Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficult task. From the 1960s to the early 1980s, many different arithmetics were developed, but their implementation varied widely from one machine to another, making it difficult for nonexperts to design, learn, and use the required algorithms. 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, including a detailed treatment of the newly revised (IEEE 754-2008) standard for floating-point arithmetic. Presented throughout are algorithms for implementing floating-point arithmetic as well as algorithms that use 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...Key topics and features include:..* Presentation of the history and ba
出版日期Book 20101st edition
关键词Algorithms; Hardware; algorithm; computer; number theory; numerical analysis; operator; verification; algori
版次1
doihttps://doi.org/10.1007/978-0-8176-4705-6
isbn_ebook978-0-8176-4705-6
copyrightBirkh�user Boston 2010
The information of publication is updating

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https://doi.org/10.1007/978-3-658-32173-4ns arise in many fields of numerical computing. Computing sums is required, e.g., in numerical integration and the computation of means and variances. Dot products appear everywhere in numerical linear algebra. Polynomials are used to approximate many functions (see Chapter 11).
发表于 2025-3-22 05:46:30 | 显示全部楼层
https://doi.org/10.1007/978-3-663-07617-9ion, subtraction, multiplication, division, and square root. We will also study the fused multiply-add (FMA) operator. We review here some of the known properties and algorithms used to implement each of those operators. Chapter 9 and Chapter 10 will detail some examples of actual implementations in, respectively, hardware and software.
发表于 2025-3-22 11:51:14 | 显示全部楼层
https://doi.org/10.1007/978-3-658-37731-1ndeed, floating-point arithmetic introduces numerous special cases, and examining all the details would be tedious. As a consequence, the certification process tends to focus on the main parts of the correctness proof, so that it does not grow out of reach.
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Enhanced Floating-Point Sums, Dot Products, and Polynomial Valuesns arise in many fields of numerical computing. Computing sums is required, e.g., in numerical integration and the computation of means and variances. Dot products appear everywhere in numerical linear algebra. Polynomials are used to approximate many functions (see Chapter 11).
发表于 2025-3-22 20:47:30 | 显示全部楼层
Algorithms for the Five Basic Operationsion, subtraction, multiplication, division, and square root. We will also study the fused multiply-add (FMA) operator. We review here some of the known properties and algorithms used to implement each of those operators. Chapter 9 and Chapter 10 will detail some examples of actual implementations in, respectively, hardware and software.
发表于 2025-3-22 23:39:22 | 显示全部楼层
Formalisms for Certifying Floating-Point Algorithmsndeed, floating-point arithmetic introduces numerous special cases, and examining all the details would be tedious. As a consequence, the certification process tends to focus on the main parts of the correctness proof, so that it does not grow out of reach.
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