Error bounds for floating-point polynomial interpolators

V. Paliouras, K. Karagianni, T. Stouraitis

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Novel roundoff error bounds for floating-point addition and multiplication are introduced. The error bounds are found to be tighter than conventional error bounds. Tight error bounds are of practical interest as they allow the reduction of intermediate result word lengths, consequently reducing the complexity of dedicated arithmetic hardware. The use of the proposed error bounds is demonstrated by deriving a roundoff error bound for polynomials when used as interpolators.

Original languageBritish English
Pages (from-to)195-197
Number of pages3
JournalElectronics Letters
Volume35
Issue number3
DOIs
StatePublished - 4 Feb 1999

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