S
Siegfried M. Rump
Researcher at Hamburg University of Technology
Publications - 190
Citations - 6266
Siegfried M. Rump is an academic researcher from Hamburg University of Technology. The author has contributed to research in topics: Rounding & Floating point. The author has an hindex of 35, co-authored 184 publications receiving 5916 citations. Previous affiliations of Siegfried M. Rump include Waseda University & IBM.
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Book ChapterDOI
INTLAB — INTerval LABoratory
TL;DR: INTLAB is a toolbox for Matlab supporting real and complex intervals, and vectors, full matrices and sparse matrices over those, designed to be very fast and achieves the anticipated speed with identical code on a variety of computers.
Journal Article
INTLAB - INTerval LABoratory.
TL;DR: INTLAB as mentioned in this paper is a toolbox for Matlab supporting real and complex intervals, and vectors, full matrices and sparse matrices over those, which is designed to be very fast.
Journal ArticleDOI
Accurate Sum and Dot Product
TL;DR: Algorithms for summation and dot product of floating-point numbers are presented which are fast in terms of measured computing time and it is shown that the computed results are as accurate as if computed in twice or K-fold working precision.
Journal ArticleDOI
Verification methods: Rigorous results using floating-point arithmetic
TL;DR: Verification methods are introduced and it is discussed how floating-point arithmetic is used and how they can assist in achieving a mathematically rigorous result.
Book ChapterDOI
Solving algebraic problems with high accuracy
TL;DR: This chapter presents the new methods of solving algebraic problems with high accuracy, that is, error control is performed automatically by the computer without any requirement on the part of the user, such as estimating spectral radii.