2014Unpublished venueRequires access

Proceedings of the 2014 Symposium on Symbolic-Numeric Computation

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Abstract

Algorithms that combine ideas from symbolic and numeric computation have been of increasing interest over the past decade. This has come about for several reasons: algorithms are needed for algebraic objects with imprecise or noisy data; the usual algorithms of computer algebra break down when applied to inexact values; the analytic setting itself allows many new questions to be asked. These motivations, together with the growing demand for speed, accuracy and reliability in mathematical computing, have fuelled a growing synergy between the numeric and symbolic computing fields. This fused subject has come to be known as "symbolic-numeric computation". In it, symbolic and numeric methods are combined to do more than can be done with either alone.

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What this paper is about

Algorithms that combine ideas from symbolic and numeric computation have been of increasing interest over the past decade. This has come about for several reasons: algorithms are needed for algebraic objects with imprecise or noisy data; the usual algorithms of computer algebra break down when applied to inexact values; the analytic setting itself allows many new questions to be asked. These motivations, together with the growing demand for speed, accuracy and reliability in mathematical computing, have fuelled a growing synergy between the numeric and symbolic computing fields. This fused subject has come to be known as "symbolic-numeric computation". In it, symbolic and numeric methods are combined to do more than can be done with either alone.

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Available abstract

Algorithms that combine ideas from symbolic and numeric computation have been of increasing interest over the past decade. This has come about for several reasons: algorithms are needed for algebraic objects with imprecise or noisy data; the usual algorithms of computer algebra break down when applied to inexact values; the analytic setting itself allows many new questions to be asked. These motivations, together with the growing demand for speed, accuracy and reliability in mathematical computing, have fuelled a growing synergy between the numeric and symbolic computing fields. This fused subject has come to be known as "symbolic-numeric computation". In it, symbolic and numeric methods are combined to do more than can be done with either alone.

Key concepts: Symbolic computation, Symbolic-numeric computation, Computer science, Computation, The Symbolic, Symbolic data analysis, Symbolic trajectory evaluation, Theoretical computer science

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