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008 | 150903s2010 xxu| o |||| 0|eng d | ||
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_a9780817647056 _99780817647056 |
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024 | 7 |
_a10.1007/9780817647056 _2doi |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA71-90 | |
100 | 1 |
_aMuller, Jean-Michel. _eautor _9305671 |
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245 | 1 | 0 |
_aHandbook of Floating-Point Arithmetic / _cby Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin, Claude-Pierre Jeannerod, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Damien Stehlé, Serge Torres. |
250 | _a1. | ||
264 | 1 |
_aBoston : _bBirkhäuser Boston, _c2010. |
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300 |
_axxiv, 572 páginas _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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337 |
_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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500 | _aSpringer eBooks | ||
505 | 0 | _aIntroduction, Basic Definitions, and Standards -- Definitions and Basic Notions -- Floating-Point Formats and Environment -- Cleverly Using Floating-Point Arithmetic -- Basic Properties and Algorithms -- The Fused Multiply-Add Instruction -- Enhanced Floating-Point Sums, Dot Products, and Polynomial Values -- Languages and Compilers -- Implementing Floating-Point Operators -- Algorithms for the Five Basic Operations -- Hardware Implementation of Floating-Point Arithmetic -- Software Implementation of Floating-Point Arithmetic -- Elementary Functions -- Evaluating Floating-Point Elementary Functions -- Solving the Table Maker’s Dilemma -- Extensions -- Formalisms for Certifying Floating-Point Algorithms -- Extending the Precision -- Perspectives and Appendix -- Conclusion and Perspectives -- Appendix: Number Theory Tools for Floating-Point Arithmetic. | |
520 | _aFloating-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 basic concepts of floating-point arithmetic and various aspects of the past and current standards * Development of smart and nontrivial algorithms, and algorithmic possibilities induced by the availability of a fused multiply-add (fma) instruction, e.g., correctly rounded software division and square roots * Implementation of floating-point arithmetic, either in software—on an integer processor—or hardware, and a discussion of issues related to compilers and languages * Coverage of several recent advances related to elementary functions: correct rounding of these functions and computation of very accurate approximations under constraints * Extensions of floating-point arithmetic such as certification, verification, and big precision Handbook of Floating-Point Arithmetic 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. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
700 | 1 |
_aBrisebarre, Nicolas. _eautor _9305672 |
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700 | 1 |
_ade Dinechin, Florent. _eautor _9305673 |
|
700 | 1 |
_aJeannerod, Claude-Pierre. _eautor _9305674 |
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700 | 1 |
_aLefèvre, Vincent. _eautor _9305675 |
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700 | 1 |
_aMelquiond, Guillaume. _eautor _9305676 |
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700 | 1 |
_aRevol, Nathalie. _eautor _9305677 |
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700 | 1 |
_aStehlé, Damien. _eautor _9305678 |
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700 | 1 |
_aTorres, Serge. _eautor _9305679 |
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710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9780817647049 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4705-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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