On the \(QR\) algorithm and updating the \(SVD\) and the \(URV\) decomposition in parallel

DOI10.1016/0024-3795(93)90479-8zbMath0781.65025OpenAlexW2013501249MaRDI QIDQ1260802

Filiep Vanpoucke, Marc Moonen, Paul Van Dooren

Publication date: 25 August 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90479-8

zbMATH Keywords

singular value decompositionparallel computationsymmetric eigenvalue problemsystolic implementation\(QR\) algorithmJacobi-type updating algorithmURV decomposition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05)

Related Items (2)

Feasible algorithm for linear mixed model for massive data ⋮ Proper Orthogonal Decomposition In Decoupling Large Dynamical Systems

Cites Work

• A triangular processor array for computing singular values
• An accurate product SVD algorithm
• A systolic algorithm for QSVD updating
• Updating URV decompositions in parallel
• Accurate singular values and differential qd algorithms
• From Bareiss' algorithm to the stable computation of partial correlations
• Linear convergence of the row cyclic Jacobi and Kogbetliantz methods
• A block QR algorithm and the singular value decomposition
• Solution of linear equations by diagonalization of coefficients matrix
• Computing the Generalized Singular Value Decomposition
• Towards a Generalized Singular Value Decomposition
• A Singular Value Decomposition Updating Algorithm for Subspace Tracking
• Computing the Generalized Singular Value Decomposition
• Computing the PSVD of Two $2 \times 2$ Triangular Matrices
• Analysis of a QR Algorithm for Computing Singular Values
• A Systolic Array for SVD Updating

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