On the global and cubic convergence of a quasi-cyclic Jacobi method
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Publication:1326438
DOI10.1007/BF01385689zbMath0793.65024MaRDI QIDQ1326438
Publication date: 8 August 1994
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133754
global convergencenumerical examplessymmetric eigenvalue problemcubic convergencemultiple eigenvaluesquasi-cyclic Jacobi methodsharp asymptotic convergence bounds
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)
Related Items (10)
On the cubic convergence of the Paardekooper method ⋮ Full block \(J\)-Jacobi method for Hermitian matrices ⋮ Novel modifications of parallel Jacobi algorithms ⋮ Convergence to diagonal form of block Jacobi-type methods ⋮ Accelerating the SVD block-Jacobi method ⋮ Block-oriented \(J\)-Jacobi methods for Hermitian matrices ⋮ Quadratic convergence estimate of scaled iterates by \(J\)-symmetric Jacobi method ⋮ On quadratic convergence bounds for the \(J\)-symmetric Jacobi method ⋮ Quadratic convergence of a special quasi-cyclic Jacobi method ⋮ Convergence of scaled iterates by the Jacobi method
Cites Work
- Note on the quadratic convergence of the cyclic Jacobi process
- On sharp quadratic convergence bounds for the serial Jacobi methods
- On the convergence of the cyclic Jacobi method
- A note on a one-sided Jacobi algorithm
- Almost diagonal matrices with multiple or close eigenvalues
- An estimate for the norms of certain cyclic Jacobi operators
- On the quadratic convergence of the special cyclic Jacobi method
- On pairs of almost diagonal matrices
- The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
- Jacobi’s Method is More Accurate than QR
- On the Convergence of the Cyclic Jacobi Method for Parallel Block Orderings
- On Cyclic Jacobi Methods
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