Title
Accurate Sum and Dot Product
Abstract
We discuss a multigrid approach to the optimization of systems governed by differential equations. Such optimization problems appear in many applications and are of a different nature than systems of equations. Our approach uses an optimization-based ...
Year
DOI
Venue
2005
10.1137/030601818
SIAM J. Scientific Computing
Keywords
Field
DocType
verifled error bounds,fast algorithms,accurate summation,accurate sum,differential equation,multigrid approach,dot product,optimization problem,high precision,different nature,accurate dot product
Pairwise summation,Exponent,Algorithm,Multiplication,Dot product,Numerical analysis,Subtraction,Significand,Mathematics
Journal
Volume
Issue
ISSN
26
6
1064-8275
Citations 
PageRank 
References 
126
8.20
20
Authors
3
Search Limit
100126
Name
Order
Citations
PageRank
Takeshi Ogita123123.39
Siegfried M. Rump2774102.83
Shin'ichi Oishi328037.14