A multilevel parallel algorithm to solve symmetric Toeplitz linear systems
type: Item
instance of: scholarly article
title: A multilevel parallel algorithm to solve symmetric Toeplitz linear systems
zbMATH Open document ID: 1187.65040
author: Miguel O. Bernabeu
author: Pedro Alonso
author: Antonio M. Vidal
published in: The Journal of Supercomputing
publication date: 2008-06-17T00:00:00Z
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 68W10
zbMATH DE Number: 5288716
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: Cauchy-like matrix
zbMATH Keywords: Rank displacement
zbMATH Keywords: Multilevel parallel programming
zbMATH Keywords: MPI
zbMATH Keywords: OpenMP
MaRDI profile type: Publication
full work available at URL: s11227-007-0157-x
OpenAlex ID: W2035593018
cites work: Displacement ranks of matrices and linear equations
cites work: Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices
cites work: Algorithms for Triangular Decomposition of Block Hankel and Toeplitz Matrices with Application to Factoring Positive Matrix Polynomials
cites work: The Fitting of Time-Series Models
cites work: An Algorithm for the Inversion of Finite Toeplitz Matrices
cites work: Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
cites work: The Solution of a Toeplitz Set of Linear Equations
cites work: Q4265495
cites work: Q3314996
cites work: A highly concurrent algorithm and pipeleined architecture for solving Toeplitz systems
cites work: Q3481150
cites work: A BSP Bareiss algorithm for Toeplitz systems
cites work: Q3974767
cites work: Timing analysis of a parallel algorithm for Toeplitz matrices on a MIMD parallel machine
cites work: Parallel Complexity of Computations with General and Toeplitz-Like Matrices Filled with Integers and Extensions
cites work: Efficient parallel factorization and solution of structured and unstructured linear systems
cites work: Q4472367
cites work: Parallel Processing and Applied Mathematics
cites work: Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure
cites work: High performance algorithms for Toeplitz and block Toeplitz matrices
cites work: Computational Science – ICCS 2005
cites work: A Parallel Solution of Hermitian Toeplitz Linear Systems,
cites work: High Performance Computing for Computational Science - VECPAR 2004
cites work: Q4003887
cites work: Sine transform based preconditioners for symmetric Toeplitz systems
DOI: 10.1007/S11227-007-0157-X
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description: scientific article; zbMATH DE number 5288716