The exact dot product as basic tool for long interval arithmetic

DOI10.1007/s00607-010-0127-7zbMath1228.65073OpenAlexW2044610542MaRDI QIDQ644846

Ulrich Kulisch, Van Snyder

Publication date: 7 November 2011

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000018822/1375602

zbMATH Keywords

interval arithmeticscientific computingfloating-point arithmeticcomputer arithmeticarithmetic standardexact dot product

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Packaged methods for numerical algorithms (65Y15)

Related Items (4)

Multiple/arbitrary precision interval computations in C-XSC ⋮ General framework for deriving reproducible Krylov subspace algorithms: BiCGStab case ⋮ Very fast and exact accumulation of products ⋮ Reproducibility strategies for parallel preconditioned conjugate gradient

Uses Software

• C-XSC 2.0

Cites Work

• Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices
• Computer arithmetic and validity. Theory, implementation, and applications
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