Globally convergent Jacobi methods for positive definite matrix pairs
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Publication:2413501
DOI10.1007/s11075-017-0435-5zbMath1398.65061OpenAlexW2769308963MaRDI QIDQ2413501
Publication date: 14 September 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0435-5
Related Items (9)
The high relative accuracy of the HZ method ⋮ Batched Computation of the Singular Value Decompositions of Order Two by the AVX-512 Vectorization ⋮ Revisiting the (block) Jacobi subspace rotation method for the symmetric eigenvalue problem ⋮ The LAPW Method with Eigendecomposition Based on the Hari--Zimmermann Generalized Hyperbolic SVD ⋮ On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem ⋮ On the Global Convergence of the Complex HZ Method ⋮ On the complex Falk-Langemeyer method ⋮ On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem ⋮ On the convergence of complex Jacobi methods
Cites Work
- Block-oriented \(J\)-Jacobi methods for Hermitian matrices
- A Jacobi eigenreduction algorithm for definite matrix pairs
- Convergence to diagonal form of block Jacobi-type methods
- Accuracy of one step of the Falk-Langemeyer method
- Convergence of the cyclic and quasi-cyclic block Jacobi methods
- Full block \(J\)-Jacobi method for Hermitian matrices
- The Jacobi method for real symmetric matrices
- Condition numbers and equilibration of matrices
- On pairs of almost diagonal matrices
- A One-Sided Jacobi Algorithm for Computing the Singular Value Decomposition on a Vector Computer
- On the Quadratic Convergence of the Falk–Langemeyer Method
- Das Jacobi-Verfahren fürAx = λBx
- A Tangent Algorithm for Computing the Generalized Singular Value Decomposition
- On Scaled Almost-Diagonal Hermitian Matrix Pairs
- On the Convergence of the Cyclic Jacobi Method for Parallel Block Orderings
- Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
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