Adaptive Algorithms for Solving Eigenvalue Problems in the Variable Computer Environment of Supercomputers

The authors propose software for the analysis and solution to the algebraic eigenvalue problem using an MIMD computer with GPUs, which includes parallel algorithms and programs with the functions of automatic adaptive configuration of the variable computer environment (multilevel parallelism, variab...

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Veröffentlicht in:Cybernetics and systems analysis Jg. 59; H. 3; S. 480 - 492
Hauptverfasser: Khimich, O. M., Popov, O. V., Chistyakov, O. V., Kokhanovskyi, V. O.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.05.2023
Springer
Springer Nature B.V
Schlagworte:
Adaptive algorithms
Algebra
Algorithms
Analysis
Architecture
Artificial Intelligence
Communication
Computers
Control
Cybernetics
Data exchange
Eigenvalues
Eigenvectors
Mathematical analysis
Mathematics
Mathematics and Statistics
Processor Architectures
Software
Software Engineering/Programming and Operating Systems
Software–Hardware Systems
Supercomputers
Systems Theory
Topology
adaptive algorithms
algebraic eigenvalue problems (AEVPs)
multi-core computers of MIMD-architecture with graphic processors
gradient conjugation method
subspace iteration method
changeable computer environment
ISSN:1060-0396, 1573-8337
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:The authors propose software for the analysis and solution to the algebraic eigenvalue problem using an MIMD computer with GPUs, which includes parallel algorithms and programs with the functions of automatic adaptive configuration of the variable computer environment (multilevel parallelism, variable topology of interprocessor communications, mixed word length, caching, etc.) on the mathematical properties of the problem identified in the computer and the architectural features to ensure the reliability of the solution results and the efficient use of computing resources.
Bibliographie:ObjectType-Article-1
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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-023-00583-1