The relation between the Jacobi algorithm and inverse iteration and a Jacobi algorithm based on elementary reflections

DOI10.1007/BF01933589zbMath0435.65029MaRDI QIDQ3875209

Axel Ruhe

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

singular value decompositiondeflationparallel computationsreflection matricesrotation matricesHouseholder transformationJacobi algorithmcyclic Jacobi methodRayleigh quotient-inverse iterationJacobi rotation matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Theory of operating systems (68N25)

Related Items (1)

On updating triangular products of Householder reflections

Cites Work

• Unnamed Item
• On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I, II
• Note on the quadratic convergence of the cyclic Jacobi process
• The Jacobi method for real symmetric matrices
• On the convergence of the classical Jacobi method for real symmetric matrices with non-distinct eigenvalues
• The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
• Adaptation of the Jacobi Method for a Computer with Magnetic-tape Backing Store

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