Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems

DOI10.21042/AMNS.2017.1.00017zbMath1376.65029OpenAlexW2728685530MaRDI QIDQ4597694

Rocío Carratalá-Sáez, José I. Aliaga, Enrique S. Quintana-Ortí

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2017.1.00017

zbMATH Keywords

Cholesky factorizationhigh performancehierarchical matricesmulticore processorshierarchical arithmetic

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems ⋮ Multiple criteria decision making based on probabilistic interval-valued hesitant fuzzy sets by using LP methodology

Uses Software

• BLAS

Cites Work

• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Construction and arithmetics of \(\mathcal H\)-matrices
• \(\mathcal H\)-LU factorization on many-core systems
• Exploiting task-parallelism in message-passing sparse linear system solvers using OmpSs
• Hierarchical Matrices: Algorithms and Analysis
• A set of level 3 basic linear algebra subprograms
• Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems
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