On One-Sided Jacobi Methods for Parallel Computation

DOI10.1137/0608064zbMath0653.65026OpenAlexW2126931466MaRDI QIDQ3799559

P. J. Eberlein

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608064

zbMATH Keywords

algorithmhypercubeconvergencesingular value decompositioneigenvalue problemparallel computationsingular valuesmultiprocessorsimplementationlinear array of processorsHestenes methodone-sided Jacobi methodone-sided Jacobi methods

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items

On optimal symmetric orthogonalisation and square roots of a normal matrix ⋮ The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale ⋮ Three-level parallel J-Jacobi algorithms for Hermitian matrices ⋮ Some complexity results in parallel matrix-based signal processing ⋮ Efficient diagonalization of oversized matrices on a distributed-memory multiprocessor ⋮ A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems ⋮ Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems ⋮ A note on a one-sided Jacobi algorithm

Cites Work

• Inversion of Matrices by Biorthogonalization and Related Results
• Adaptation of the Jacobi Method for a Computer with Magnetic-tape Backing Store
• A Parallel Jacobi Diagonalization Algorthm for a Loop Multiple Processor System
• The Solution of Singular-Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays
• A one-sided transformation method for the singular value decomposition and algebraic eigenproblem
• The JK method: a procedure for finding the eigenvectors and eigenvalues of a real symmetric matrix

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