Efficient subspace iteration with Chebyshev-type filtering Article Swipe
Bruno Lang
,
Lukas Krämer
,
Martin Galgon
,
Andreas Alvermann
,
Holger Fehske
,
Andreas Pieper
,
Georg Hager
,
Moritz Kreutzer
,
Faisal Shahzad
,
Gerhard Wellein
,
Achim Basermann
,
Melven Röhrig-Zöllner
,
Jonas Thies
·
YOU?
·
· 2016
· Open Access
·
YOU?
·
· 2016
· Open Access
·
Shift-invert and other methods for computing inner eigenvalues often require the solution of linear systems. This may become a problem if the linear systems are very ill-conditioned and the matrix dimension precludes the use \nof direct solvers. Then eigensolvers with polynomial acceleration become particularly attractive because they avoid the solution of linear systems. \nWe discuss techniques for increasing the efficiency of subspace iteration with polynomial filtering. These include reducing the polynomial degree by adapting Chebyshev-based filter functions, optimizing the size of the search \nspace, and using tailored high-performance computational kernels.
Related Topics
Concepts
Dimension (graph theory)
Subspace topology
Chebyshev filter
Polynomial
Mathematics
Linear system
Eigenvalues and eigenvectors
Chebyshev polynomials
Chebyshev nodes
Applied mathematics
Mathematical optimization
Algorithm
Filter (signal processing)
Computer science
Mathematical analysis
Combinatorics
Computer vision
Quantum mechanics
Physics
Metadata
- Type
- article
- Language
- en
- https://elib.dlr.de/110053/1/talk-Lang.pdf
- OA Status
- green
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2601663074
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2601663074Canonical identifier for this work in OpenAlex
- Title
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Efficient subspace iteration with Chebyshev-type filteringWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2016Year of publication
- Publication date
-
2016-01-01Full publication date if available
- Authors
-
Bruno Lang, Lukas Krämer, Martin Galgon, Andreas Alvermann, Holger Fehske, Andreas Pieper, Georg Hager, Moritz Kreutzer, Faisal Shahzad, Gerhard Wellein, Achim Basermann, Melven Röhrig-Zöllner, Jonas ThiesList of authors in order
- PDF URL
-
https://elib.dlr.de/110053/1/talk-Lang.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://elib.dlr.de/110053/1/talk-Lang.pdfDirect OA link when available
- Concepts
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Dimension (graph theory), Subspace topology, Chebyshev filter, Polynomial, Mathematics, Linear system, Eigenvalues and eigenvectors, Chebyshev polynomials, Chebyshev nodes, Applied mathematics, Mathematical optimization, Algorithm, Filter (signal processing), Computer science, Mathematical analysis, Combinatorics, Computer vision, Quantum mechanics, PhysicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 13 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.44999998807907104 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.15840602 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |