Mathematical model and implementation of rational processing

DOI10.1016/j.cam.2016.05.001zbMath1386.65133OpenAlexW2403047192MaRDI QIDQ313681

Juan Manuel García Chamizo, Higinio Mora-Mora, María Teresa Signes Pont, Jerónimo Mora-Pascual

Publication date: 12 September 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.001

zbMATH Keywords

computational methodscomputational efficiencymathematical modelcomputer arithmeticexact computationrational processing

Mathematics Subject Classification ID

Roundoff error (65G50) Mathematical problems of computer architecture (68M07) Numerical algorithms for computer arithmetic, etc. (65Y04)

Related Items (4)

On a threshold autoregression with conditional heteroscedastic variances ⋮ Editorial: Mathematical modeling and computational methods ⋮ On filtering and estimation of a threshold stochastic volatility model ⋮ Estimation and inference for exponential smooth transition nonlinear volatility models

Uses Software

• dfp
• decNumber
• CADAC

Cites Work

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• Mathematical model of stored logic based computation
• An iterative method for improving decimal calculations on computers
• Interval arithmetic on multimedia architectures
• Arbitrary precision real arithmetic: design and algorithms
• Exact real arithmetic for interval number systems
• Exact arithmetic on the Stern-Brocot tree
• The Stern–Brocot graph in Möbius number systems
• CADAC: A Controlled-Precision Decimal Arithmetic Unit
• Finite Precision Rational Arithmetic: An Arithmetic Unit
• Representing real numbers in Möbius number systems

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