Publication: Use of tensor formats in elliptic eigenvalue problems
Use of tensor formats in elliptic eigenvalue problems
Date
Date
Date
Citations
Hackbusch, W., Khoromskij, B. N., Sauter, S., & Tyrtyshnikov, E. E. (2011). Use of tensor formats in elliptic eigenvalue problems. Numerical Linear Algebra with Applications, 19(1), 133–151. https://doi.org/10.1002/nla.793
Abstract
Abstract
Abstract
We investigate approximations by finite sums of products of functions with separated variables to eigenfunctions of certain class of elliptic operators in higher dimensions, and especially conditions providing an exponential decrease of the error with respect to the number of terms. The results of the consistent use of tensor formats can be regarded as a base for a new class of rank truncated iterative eigensolvers with almost linear complexity in the univariate problem size that improves dramatically the traditional methods of linear
Metrics
Views
Additional indexing
Creators (Authors)
- Hackbusch, W
- Khoromskij, Boris N
- Sauter, S
- Tyrtyshnikov, E E
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Publisher DOI
Metrics
Views
Citations
Hackbusch, W., Khoromskij, B. N., Sauter, S., & Tyrtyshnikov, E. E. (2011). Use of tensor formats in elliptic eigenvalue problems. Numerical Linear Algebra with Applications, 19(1), 133–151. https://doi.org/10.1002/nla.793
