Advanced Arithmetic for the Digital Computer: Design of Arithmetic Units
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Vienna
Springer Vienna
2002
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed |
| Beschreibung: | 1 Online-Ressource (XII, 144 p) |
| ISBN: | 9783709105252 9783211838709 |
| DOI: | 10.1007/978-3-7091-0525-2 |
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| 500 | |a The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed | ||
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Datensatz im Suchindex
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| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-7091-0525-2 |
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| isbn | 9783709105252 9783211838709 |
| language | English |
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| spelling | Kulisch, Ulrich W. Verfasser aut Advanced Arithmetic for the Digital Computer Design of Arithmetic Units by Ulrich W. Kulisch Vienna Springer Vienna 2002 1 Online-Ressource (XII, 144 p) txt rdacontent c rdamedia cr rdacarrier The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed Mathematics Computer science Computer network architectures Algorithms Numerical analysis Computational Science and Engineering Arithmetic and Logic Structures Processor Architectures Computer System Implementation Numerical Analysis Informatik Mathematik Computerarithmetik (DE-588)4135485-0 gnd rswk-swf Computerarithmetik (DE-588)4135485-0 s 1\p DE-604 https://doi.org/10.1007/978-3-7091-0525-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kulisch, Ulrich W. Advanced Arithmetic for the Digital Computer Design of Arithmetic Units Mathematics Computer science Computer network architectures Algorithms Numerical analysis Computational Science and Engineering Arithmetic and Logic Structures Processor Architectures Computer System Implementation Numerical Analysis Informatik Mathematik Computerarithmetik (DE-588)4135485-0 gnd |
| subject_GND | (DE-588)4135485-0 |
| title | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units |
| title_auth | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units |
| title_exact_search | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units |
| title_full | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units by Ulrich W. Kulisch |
| title_fullStr | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units by Ulrich W. Kulisch |
| title_full_unstemmed | Advanced Arithmetic for the Digital Computer Design of Arithmetic Units by Ulrich W. Kulisch |
| title_short | Advanced Arithmetic for the Digital Computer |
| title_sort | advanced arithmetic for the digital computer design of arithmetic units |
| title_sub | Design of Arithmetic Units |
| topic | Mathematics Computer science Computer network architectures Algorithms Numerical analysis Computational Science and Engineering Arithmetic and Logic Structures Processor Architectures Computer System Implementation Numerical Analysis Informatik Mathematik Computerarithmetik (DE-588)4135485-0 gnd |
| topic_facet | Mathematics Computer science Computer network architectures Algorithms Numerical analysis Computational Science and Engineering Arithmetic and Logic Structures Processor Architectures Computer System Implementation Numerical Analysis Informatik Mathematik Computerarithmetik |
| url | https://doi.org/10.1007/978-3-7091-0525-2 |
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