Floating-Point Computation of Functions with Maximum Accuracy

DOI10.1109/TC.1977.1674894zbMath0405.65021OpenAlexW1974691580MaRDI QIDQ4191511

G. Bohlender

Publication date: 1977

Published in: IEEE Transactions on Computers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tc.1977.1674894

zbMATH Keywords

AlgorithmsAccuracyRoundingErrorsScalar ProductsError FormulasFloating-Point ComputationsFloating-Point NumbersMatrix ProductsMaximum AccuracyMultiple Sums and ProductsMultiple-Length MantissasRoots Of Floating-Point Numbers

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20)

Related Items (8)

Computation of the monodromy matrix in floating point arithmetic with the Wilkinson model ⋮ Compensated summation and dot product algorithms for floating-point vectors on parallel architectures: error bounds, implementation and application in the Krylov subspace methods ⋮ E-methods for fixed point equations f(x)=x ⋮ More accuracy at fixed precision. ⋮ Solving nonlinear systems with least significant bit accuracy ⋮ Least significant bit evaluation of arithmetic expressions in single- precision ⋮ Efficiency of Reproducible Level 1 BLAS ⋮ Some techniques for solving linear equation systems with guarantee

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