Error bounds for floating-point polynomial interpolators
Vassilis Paliouras, Konstantina Karagianni, Thanos Stouraitis · Electronics Letters · 1999
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.