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Timothy Hall

PQI Consulting



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486 – Computing Kaleidoscope

Exact Solutions to Linear Systems Using Rational Arithmetic and Conversions

Sponsor: Section on Statistical Computing
Keywords: Rational Arithmetic, Exact Numerical Methods, Literate Programming, Arbitrary Precision

Timothy Hall

PQI Consulting

This paper presents a new algorithm using rational arithmetic and conversions to calculate exact solutions to any linear system, including inconsistent systems (a null solution) and consistent yet under- and over-specified systems. The algorithm is presented as a MAPLE literate program for ease of implementation in an arbitrary analytical processing environment.

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