Lukas Exl

Computational Mathematics · 2011–2013

A researcher in the Science corpus: 3 papers; trusts 7 researchers and is trusted by 0 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 17 citations into it
• Computational Theory and Mathematics — 9 citations into it
• Numerical Methods & Scientific Computing — 9 citations into it
• Atomic and Molecular Physics, and Optics — 7 citations into it
• Artificial Intelligence — 6 citations into it
• Numerical Analysis — 6 citations into it

Whom Lukas Exl trusts overall

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

1. Ivan V. Oseledets
2. Tamara G. Kolda
3. Brett W. Bader
4. Wolfgang Hackbusch
5. E. E. Tyrtyshnikov
6. Lieven De Lathauwer
7. Vin de Silva
8. Gregory Beylkin
9. Giorgio Tomasi
10. Boris N. Khoromskij

Papers from Lukas Exl's perspective

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

1. Tensor Decompositions and Applications
2. Numerical operator calculus in higher dimensions
3. TT-cross approximation for multidimensional arrays
4. Tensor approximations of matrices generated by asymptotically smooth functions
5. A Multilinear Singular Value Decomposition
6. f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
7. Some mathematical notes on three-mode factor analysis
8. Tensor-Train Decomposition
9. On the Best Rank-1 and Rank-(R1 , R2, ... , RN) Approximation of Higher-Order Tensors
10. A scalable optimization approach for fitting canonical tensor decompositions

Their papers

• Fast stray field computation on tensor grids (2011) — 28 citations
• LaBonte's method revisited: An effective steepest descent method for micromagnetic energy minimization (2013) — 149 citations
• FFT-based Kronecker product approximation to micromagnetic long-range interactions (2012) — 11 citations