On quadratic convergence bounds for the \(J\)-symmetric Jacobi method

DOI10.1007/BF01388685zbMath0761.65026OpenAlexW2062468104MaRDI QIDQ1813055

Vjeran Hari, Zlatko Drmač

Publication date: 25 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133701

zbMATH Keywords

quadratic convergencemultiple eigenvalues\(J\)-symmetric eigenvalue problemserial \(J\)-symmetric Jacobi methodserial strategies

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (12)

A Jacobi eigenreduction algorithm for definite matrix pairs ⋮ Jacobi method for symmetric \(4 \times 4\) matrices converges for every cyclic pivot strategy ⋮ Three-level parallel J-Jacobi algorithms for Hermitian matrices ⋮ Full block \(J\)-Jacobi method for Hermitian matrices ⋮ A GPU-based hyperbolic SVD algorithm ⋮ On sharp quadratic convergence bounds for the serial Jacobi methods ⋮ Block-oriented \(J\)-Jacobi methods for Hermitian matrices ⋮ Quadratic convergence estimate of scaled iterates by \(J\)-symmetric Jacobi method ⋮ Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices ⋮ An implicit Jacobi-like method for computing generalized hyperbolic SVD ⋮ Highly accurate symmetric eigenvalue decomposition and hyperbolic SVD ⋮ Convergence of scaled iterates by the Jacobi method

Cites Work

• Zur Konvergenz des Jacobi-Verfahrens
• Note on the quadratic convergence of the cyclic Jacobi process
• On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
• On Kogbetliantz's SVD algorithm in the presence of clusters
• On sharp quadratic convergence bounds for the serial Jacobi methods
• A Jacobi eigenreduction algorithm for definite matrix pairs
• On the global and cubic convergence of a quasi-cyclic Jacobi method
• Almost diagonal matrices with multiple or close eigenvalues
• On the quadratic convergence of the special cyclic Jacobi method
• On pairs of almost diagonal matrices
• Jacobi’s Method is More Accurate than QR
• On the quadratic convergence of the Jabobi method for normal matrices
• On Cyclic Jacobi Methods
• Largest Singular Value Submultiplicativity

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