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Universal numerical algorithms and their software implementation

Grigori Litvinov, Elena Maslova

math.NAarXiv:math/0102114

Abstract

The concept of a universal algorithm is discussed. Examples of this kind of algorithms are presented. Software implementations of such algorithms in C++ type languages are discussed together with means that provide for computations with an arbitrary accuracy. Particular emphasis is placed on universal algorithms of linear algebra over semirings.

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