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An environment for Symbolic and Numeric Computation

Identifieur interne : 001074 ( Crin/Checkpoint ); précédent : 001073; suivant : 001075

An environment for Symbolic and Numeric Computation

Auteurs : Gabriel Dos Reis ; Bernard Mourrain ; Philippe Trébuchet ; Fabrice Rouillier

Source :

RBID : CRIN:dos_reis02a

English descriptors

Abstract

We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach. We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach.

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Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="4614">We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach. We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach.</div>
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<BibTex type="inproceedings">
<ref>dos_reis02a</ref>
<crinnumber>A02-R-451</crinnumber>
<category>3</category>
<equipe>CMLA</equipe>
<author>
<e>Dos Reis, Gabriel</e>
<e>Mourrain, Bernard</e>
<e>Trébuchet, Philippe</e>
<e>Rouillier, Fabrice</e>
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<title>An environment for Symbolic and Numeric Computation</title>
<booktitle>{International Congress of Mathematical Software - ICMS'2002, Beijing, China}</booktitle>
<year>2002</year>
<month>Aug</month>
<publisher>World Scientific</publisher>
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<e>software integration</e>
<e>symbolic computations</e>
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<abstract>We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach. We describe the environment for symbolic and numeric computations, called SYNAPS (Symbolic and Numeric APplicationS) and developed in C++. Its aim is to provide a coherent platform integrating many of the nowadays freely available software in scientific computing. The approach taken here is inspired by the recent paradigm of software developments called active library. In this paper, we explain the design choices of the kernel and their impact on the development of generic and efficient codes for the treatment of algebraic objects, such as vectors, matrices, univariate and multivariate polynomials. Implementation details illustrate the performance of the approach.</abstract>
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