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ORCIDSiegfried M. Rump
- > Home > Persons > Siegfried M. Rump
Publications
- 2020
[j54]Atsushi Minamihata, Takeshi Ogita, Siegfried M. Rump
, Shin'ichi Oishi:
Modified error bounds for approximate solutions of dense linear systems. J. Comput. Appl. Math. 369 (2020)- 2013
- [c16]Tetsuo Nishi, Siegfried M. Rump, Shin'ichi Oishi:
A consideration on the condition number of extremely ill-conditioned matrices. ECCTD 2013: 1-4 - 2012
- [j40]Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
Fast algorithms for floating-point interval matrix multiplication. J. Comput. Appl. Math. 236(7): 1795-1814 (2012) - [j39]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi, Siegfried M. Rump:
Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications. Numer. Algorithms 59(1): 95-118 (2012) - 2010
- [j34]Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems. Reliab. Comput. 14: 24-45 (2010) - 2009
- [e3]B. Malcolm Brown, Erich L. Kaltofen, Shin'ichi Oishi, Siegfried M. Rump:
Computer-assisted proofs - tools, methods and applications, 15.11. - 20.11.2009. Dagstuhl Seminar Proceedings 09471, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Germany 2009 [contents] - [i4]B. Malcolm Brown, Erich L. Kaltofen, Shin'ichi Oishi, Siegfried M. Rump:
09471 Abstracts Collection - Computer-assisted proofs - tools, methods and applications. Computer-assisted proofs - tools, methods and applications 2009 - [i3]B. Malcolm Brown, Erich L. Kaltofen, Shin'ichi Oishi, Siegfried M. Rump:
09471 Executive Summary - Computer-assisted proofs - tools, methods and applications. Computer-assisted proofs - tools, methods and applications 2009 - 2008
- [j32]Naoya Yamanaka, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
A parallel algorithm for accurate dot product. Parallel Comput. 34(6-8): 392-410 (2008) - [j31]Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi:
Accurate Floating-Point Summation Part I: Faithful Rounding. SIAM J. Sci. Comput. 31(1): 189-224 (2008) - [j30]Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi:
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest. SIAM J. Sci. Comput. 31(2): 1269-1302 (2008) - 2006
- [e2]Bruno Buchberger, Shin'ichi Oishi, Michael Plum, Siegfried M. Rump:
Algebraic and Numerical Algorithms and Computer-assisted Proofs, 25.-30. September 2005. Dagstuhl Seminar Proceedings 05391, Internationales Begegnungs- und Forschungszentrum für Informatik (IBFI), Schloss Dagstuhl, Germany 2006 [contents] - 2005
- [j28]Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
Accurate Sum and Dot Product. SIAM J. Sci. Comput. 26(6): 1955-1988 (2005) - [i2]Bruno Buchberger, Christian Jansson, Shin'ichi Oishi, Michael Plum, Siegfried M. Rump:
05391 Executive Summary - Numerical and Algebraic Algorithms and Computer-assisted Proofs. Algebraic and Numerical Algorithms and Computer-assisted Proofs 2005 - [i1]Bruno Buchberger, Shin'ichi Oishi, Michael Plum, Siegfried M. Rump:
05391 Abstracts Collection - Algebraic and Numerical Algorithms and Computer-assisted Proofs. Algebraic and Numerical Algorithms and Computer-assisted Proofs 2005 - 2002
- [j24]Shin'ichi Oishi, Siegfried M. Rump:
Fast verification of solutions of matrix equations. Numerische Mathematik 90(4): 755-773 (2002)
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