Daniel Kressner

Computational Mathematics · 2010–2015

A researcher in the Science corpus: 11 papers; trusts 79 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 171 citations into it; #24 of 612 by trust here, #34 by citations
• Computational Theory and Mathematics — 153 citations into it; #538 of 12,182 by trust here, #925 by citations
• Computational Mechanics — 87 citations into it; #4,505 of 10,001 by trust here, #6,877 by citations
• Atomic and Molecular Physics, and Optics — 62 citations into it
• Numerical Analysis — 53 citations into it
• Numerical Methods & Scientific Computing — 51 citations into it; #89 of 266 by trust here, #91 by citations
• Statistical and Nonlinear Physics — 49 citations into it; #1,015 of 10,127 by trust here, #2,263 by citations
• Artificial Intelligence — 47 citations into it; #34,334 of 35,345 by trust here, #30,347 by citations

Whom Daniel Kressner trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Lars Grasedyck
2. Wolfgang Hackbusch
3. Ivan V. Oseledets
4. Jonas Ballani
5. Tamara G. Kolda
6. Boris N. Khoromskij
7. Christine Tobler
8. Lieven De Lathauwer
9. Ulrich Schollwoeck
10. Lloyd N. Trefethen

Who trusts Daniel Kressner overall

1. Christine Tobler
2. André Uschmajew
3. Andrzej S. Cichocki
4. Thomas Mach
5. V. Dolgov
6. Roman Andreev
7. Bart Vandereycken
8. Vladimir A. Kazeev
9. Peter Benner
10. Bernhard Beckermann

Papers from Daniel Kressner's perspective

Ordered by how strongly the researchers Daniel Kressner trusts endorse each paper. Same corpus, a different order for every researcher.

1. Tensor Decompositions and Applications
2. f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
3. Some mathematical notes on three-mode factor analysis
4. Matrix Computations
5. A Multilinear Singular Value Decomposition
6. A New Scheme for the Tensor Representation
7. Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
8. Γ and B
9. Tensor-Train Decomposition
10. TT-cross approximation for multidimensional arrays

Their papers

• Accelerated filtering on graphs using Lanczos method (2015) — 61 citations
• Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems (2011) — 237 citations
• A literature survey of low‐rank tensor approximation techniques (2013) — 719 citations
• Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems (2011) — 75 citations
• Krylov Subspace Methods for Linear Systems with Tensor Product Structure (2010) — 192 citations
• Algorithm 941 (2014) — 51 citations
• A preconditioned low‐rank CG method for parameter‐dependent Lyapunov matrix equations (2014) — 35 citations
• Low-rank tensor completion by Riemannian optimization (2014) — 344 citations
• Algorithm 941: htucker - A Matlab Toolbox for Tensors in Hierarchical Tucker Format (2014) — 93 citations
• An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure (2013) — 18 citations
• Chebyshev interpolation for nonlinear eigenvalue problems (2012) — 95 citations