2026 Siegfried M. Rump: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2473	2196	154	138	221	6619

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2473

2196

154

138

221

6619

Overview

Siegfried M. Rump is affiliated with Hamburg University of Technology in Germany and conducts research primarily in the fields of Computer Science and Mathematics. Their work spans several subfields including Computational Theory and Mathematics, Signal Processing, Numerical Analysis, Statistical and Nonlinear Physics, and Applied Mathematics.

Their main topics of research focus on Numerical Methods and Algorithms, Matrix Theory and Algorithms, Digital Filter Design and Implementation, Polynomial and Algebraic Computation, Advanced Optimization Algorithms Research, Numerical Methods for Differential Equations, and Model Reduction and Neural Networks.

Recent research papers authored or co-authored by Siegfried M. Rump include:

Fast and accurate computation of the Euclidean norm of a vector, 2023, Japan Journal of Industrial and Applied Mathematics
Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters, 2023, Journal of Computational and Applied Mathematics
Faithfully Rounded Floating-point Computations, 2020, ACM Transactions on Mathematical Software
Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin's sin (θ) theorem, 2020, BIT Numerical Mathematics
On recurrences converging to the wrong limit in finite precision and some new examples, 2020, ETNA - Electronic Transactions on Numerical Analysis

Frequently published venues for their work include:

BIT Numerical Mathematics
ACM Transactions on Mathematical Software
Japan Journal of Industrial and Applied Mathematics
Journal of Computational and Applied Mathematics
SIAM Journal on Matrix Analysis and Applications

They have collaborated regularly with several co-authors, including:

Marko Lange
Takeshi Ogita
Shin'ichi Oishi
Florian Bünger
Denis Chaykin

Best Publications

INTLAB — INTerval LABoratory

Siegfried M. Rump

1593
Citations
Accurate Sum and Dot Product

Takeshi Ogita;Siegfried M. Rump;Shin'ichi Oishi

535
Citations
Verification methods: Rigorous results using floating-point arithmetic

Siegfried M. Rump

357
Citations
Verification methods for dense and sparse systems of equations

Siegfried M. Rump

272
Citations
Solving algebraic problems with high accuracy

Siegfried M. Rump

266
Citations
Accurate Floating-Point Summation Part I: Faithful Rounding

Siegfried M. Rump;Takeshi Ogita;Shin'ichi Oishi

226
Citations
Fast and Parallel Interval Arithmetic

Siegfried M. Rump

206
Citations
Kleine Fehlerschranken bei Matrixproblemen

Siegfried M. Rump

129
Citations
Accurate Floating-Point Summation Part II: Sign, $K$-Fold Faithful and Rounding to Nearest

Siegfried M. Rump;Takeshi Ogita;Shin'ichi Oishi

117
Citations
Ultimately Fast Accurate Summation

Siegfried M. Rump

97
Citations
Computational error bounds for multiple or nearly multiple eigenvalues

Siegfried M. Rump

97
Citations
Structured Perturbations Part I: Normwise Distances

Siegfried M. Rump

94
Citations
On the solution of interval linear systems

S. M. Rump

93
Citations
Fast verification of solutions of matrix equations

Shin'Ichi Oishi;Siegfried M. Rump

85
Citations
Verification of Positive Definiteness

S.M. Rump;S.M. Rump

81
Citations
EIGENVALUES, PSEUDOSPECTRUM AND STRUCTURED PERTURBATIONS

Siegfried M. Rump

78
Citations
Improved Error Bounds for Inner Products in Floating-Point Arithmetic

Claude-Pierre Jeannerod;Siegfried M. Rump

77
Citations
Ten methods to bound multiple roots of polynomials

Siegfried M. Rump

75
Citations
Rigorous sensitivity analysis for systems of linear and nonlinear equations

Siegfried M. Rump

71
Citations
Fortran-sc. a study of a fortran extension for engineering/scientific computation with access to acrith

J. H. Bleher;S. M. Rump;U. Kulisch;M. Metzger

68
Citations
Verification methods: rigorous results using floating-point arithmetic

Siegfried M. Rump

9
Citations

Frequent Co-Authors

Erich Kaltofen North Carolina State University

Vladik Kreinovich The University of Texas at El Paso

Chee Yap New York University

Christian Krattenthaler University of Vienna

Shmuel Friedland University of Illinois at Chicago

Abraham Berman Technion – Israel Institute of Technology

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