On solution of large systems of linear equations with block-Toeplitz banded matrices

DOI10.1134/S1064562413020099zbMath1269.65028OpenAlexW2050519484MaRDI QIDQ2375976

Alexander N. Malyshev

Publication date: 25 June 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413020099

zbMATH Keywords

algorithmcyclic reductionblock-Toeplitz matrixbackward roundoff-error stabilitynarrow-banded matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Direct numerical methods for linear systems and matrix inversion (65F05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Parallel algorithm for solving some spectral problems of linear algebra

Cites Work

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• Computing invariant subspaces of a regular linear pencil of matrices
• The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub
• Wrap-around partitioning for block bidiagonal linear systems
• Stable Parallel Algorithms for Two-Point Boundary Value Problems
• Effective Methods for Solving Banded Toeplitz Systems

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