Mathemagix: Towards large scale programming for symbolic and certified numeric computations

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Abstract

Coordinated by Joris van der Hoeven from the 90's, the Mathemagix project aims at the design of a scientific programming language for symbolic and certified numeric algorithms. This language can be compiled and interpreted, and it features a strong type system with classes and categories. Several C++ libraries are also being developed, mainly with Bernard Mourrain and Philippe Trébuchet, for the elementary operations with polynomials, power series and matrices, with a special care towards efficiency and numeric stability. In my talk I will give an overview of the language, of the design and the contents of the C++ libraries, and I will illustrate possibilities offered for certified numeric computations with balls and intervals.

Original languageEnglish
Title of host publicationMathematical Software, ICMS 2010 - Third International Congress on Mathematical Software, Proceedings
PublisherSpringer Verlag
Pages329-332
Number of pages4
ISBN (Print)3642155812, 9783642155819
DOIs
Publication statusPublished - 1 Jan 2010
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6327 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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