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scholarly journals Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations

2021 ◽  
Author(s):  
M. Bauer ◽  
M. Bebendorf ◽  
B. Feist
Keyword(s):  
Error Estimates ◽  
Adaptive Cross Approximation ◽  
Local Operators ◽  
Non Local ◽  
Side Result ◽  
Matrix Approximations

AbstractA method for the kernel-independent construction of $$\mathcal {H}^2$$ H 2 -matrix approximations to non-local operators is proposed. Special attention is paid to the adaptive construction of nested bases. As a side result, new error estimates for adaptive cross approximation (ACA) are presented which have implications on the pivoting strategy of ACA.

scholarly journals Hierarchical matrix approximations for space-fractional diffusion equations

2020 ◽  
Vol 369 ◽  
pp. 113191
Author(s):  
Wajih Boukaram ◽  
Marco Lucchesi ◽  
George Turkiyyah ◽  
Olivier Le Maître ◽  
Omar Knio ◽  
...  
Keyword(s):  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Fractional Diffusion Equations ◽  
Hierarchical Matrix ◽  
Matrix Approximations

scholarly journals Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs

2020 ◽  
Vol 42 (5) ◽  
pp. A3397-A3426
Author(s):  
Ilona Ambartsumyan ◽  
Wajih Boukaram ◽  
Tan Bui-Thanh ◽  
Omar Ghattas ◽  
David Keyes ◽  
...  
Keyword(s):  
Inverse Problems ◽  
Hierarchical Matrix ◽  
Matrix Approximations

scholarly journals Sampling and multilevel coarsening algorithms for fast matrix approximations

2019 ◽  
Vol 26 (3) ◽  
pp. e2234 ◽  
Author(s):  
Shashanka Ubaru ◽  
Yousef Saad
Keyword(s):  
Matrix Approximations

scholarly journals Low-Rank Matrix Approximations Do Not Need a Singular Value Gap

2019 ◽  
Vol 40 (1) ◽  
pp. 299-319 ◽  
Author(s):  
Petros Drineas ◽  
Ilse C. F. Ipsen
Keyword(s):  
Singular Value ◽  
Low Rank ◽  
Rank Matrix ◽  
Low Rank Matrix ◽  
Matrix Approximations

Compressed Randomized UTV Decompositions for Low-Rank Matrix Approximations

2018 ◽  
Vol 12 (6) ◽  
pp. 1155-1169 ◽  
Author(s):  
Maboud F. Kaloorazi ◽  
Rodrigo C. de Lamare
Keyword(s):  
Low Rank ◽  
Rank Matrix ◽  
Low Rank Matrix ◽  
Matrix Approximations
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