Siegfried M. Rump
Computational Theory and Mathematics · 2001–2012
A researcher in the Science corpus: 9 papers; trusts 16 researchers and is trusted by 3 researchers here, as inferred from the citation graph.
Subfields
- Computational Theory and Mathematics — 20 citations into it; #6,296 of 12,182 by trust here, #6,798 by citations
- Numerical Analysis — 9 citations into it
- Control and Systems Engineering — 6 citations into it
- Signal Processing — 6 citations into it
Whom Siegfried M. Rump trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Lloyd N. Trefethen
- Roger A. Horn
- Takeshi Ogita
- Arnold Neumaier
- Charles R. Johnson
- Jorge Stolfi
- Teruo Sunaga
- Mohit Tawarmalani
- Donald Ervin Knuth
- L. Čížková
Who trusts Siegfried M. Rump overall
Papers from Siegfried M. Rump's perspective
Ordered by how strongly the researchers Siegfried M. Rump trusts endorse each paper. Same corpus, a different order for every researcher.
- accuracy and stability of numerical algorithms
- Topics in Matrix Analysis
- Affine Arithmetic: Concepts and Applications
- A proof of the Kepler conjecture
- Design (Interactions)
- Global optimization of mixed-integer nonlinear programs: A theoretical and computational study (Mathematical programming)
- Interval arithmetic and automatic error analysis in digital computing
- Matrix Computations
- Automatic Differentiation: Techniques and Applications
- Spectra and Pseudospectra
Their papers
- Verification methods: rigorous results using floating-point arithmetic (2010) — 331 citations
- Accurate Sum and Dot Product (2005) — 456 citations
- Verification of Positive Definiteness (2006) — 67 citations
- Error estimation of floating-point summation and dot product (2012) — 53 citations
- Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse (2011) — 56 citations
- Inversion of extremely Ill-conditioned matrices in floating-point (2009) — 47 citations
- EIGENVALUES, PSEUDOSPECTRUM AND STRUCTURED PERTURBATIONS (2006) — 60 citations
- Ten methods to bound multiple roots of polynomials (2003) — 53 citations
- Computational error bounds for multiple or nearly multiple eigenvalues (2001) — 72 citations