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Universal numerical algorithms and their software implementation

Grigori Litvinov·Elena Maslova
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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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Grigori Litvinov, Elena Maslova. 2001-02-15. Universal numerical algorithms and their software implementation. https://arxiv.org/abs/math/0102114

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