On H2-Matrices

By Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter. 2000

233 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/55165e98ac756c3f7058514bf4be414365bc5518

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Wolfgang Hackbusch

In Atomic and Molecular Physics, and Optics

1. Boris N. Khoromskij
2. Wolfgang Hackbusch
3. Ivan P. Gavrilyuk
4. Sujit Kumar Bose
5. Jianlin Xia
6. Venera Khoromskaia
7. Ivan V. Oseledets
8. Lars Grasedyck

In Computational Theory and Mathematics

1. Boris N. Khoromskij
2. Ivan P. Gavrilyuk
3. Wolfgang Hackbusch
4. Ivan V. Oseledets
5. Sergey V. Dolgov
6. Vladimir A. Kazeev
7. Christine Tobler
8. Sujit Kumar Bose

Citations in the corpus

• Finite elements on degenerate meshes: inverse-type inequalities and applications (2005, unknown): “(For a more complete introduction, see Hackbusch & Sauter, 1993; Hackbusch et al., 1997, 2000; Sauter, 2000; Börm et al., 2002; Börm & Hackbusch, 2002.)”
• Fast algorithms for hierarchically semiseparable matrices (2010, background): “Examples of rank-structured matrices include H-matrices [19–21], H2-matrices [22–24], quasiseparable matrices [25], and semiseparable matrices [26–28].”
• Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems (2005, background): “A class of hierarchical ðHÞ matrices has been introduced and developed in [15][19], [11].”
• Fast Fourier Transform (2011, background): “Note that one can use level-dependent approximations of admissible blocks M b where the rank of the approximating matrix M̃ b depends on the decomposition level l of the H-tree, see [73].”