Inner product rounding error analysis in the presence of underflow
Copyright policy )Inner product rounding error analysis in the presence of underflow
Wilkinson's classical error analysis for sums and inner products is extended to the case where underflow may occur. This is relevant for the construction of rigorous error bounds for an inner product evaluated on computers which do not give underflow messages. The analysis also covers calculations with gradual underflow.
- University of Freiburg Germany
rigorous error bounds, Computation of special functions and constants, construction of tables, Roundoff error, inner products, Interval and finite arithmetic, Other matrix algorithms, underflow, sums, error analysis
rigorous error bounds, Computation of special functions and constants, construction of tables, Roundoff error, inner products, Interval and finite arithmetic, Other matrix algorithms, underflow, sums, error analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!