A pure-Julia implementation of affine arithmetic.
This is a method for bounding the results of evaluating functions with linear combination of sets. A future goal is to provide a rigorous implementation, extending standard interval arithmetic provided in the author's ValidatedNumerics.jl package.
- David P. Sanders, Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México (UNAM)
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Extentions of Affine Arithmetic: Application to Unconstrained Global Optimization, Frédéric Messine
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Implementation and improvements of affine arithmetic (2015), Siegfried M. Rump and Masahide Kashiwagi
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Self-Validated Numerical Methods and Applications (1997), Jorge Stolfi, Luiz Henrique De Figueiredo
DPS acknowledges financial support from DGAPA-UNAM PAPIIT grants IN-117214 and IN-117117, and a Cátedra Marcos Moshinsky (2018).