On sharp quadratic convergence bounds for the serial Jacobi methods

Numerische Mathematik

Volumn 60, Issue 1, 1991, Pages 375-406

  Hari, Vjeran ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Mathematics Subject Classification (1991): 65F15

Indexed keywords

EID: 0000423291     PISSN: 0029599X     EISSN: 09453245     Source Type: Journal    
DOI: 10.1007/BF01385728     Document Type: Article

References (25)

1. The Solution of Singular-value and Symmetric Eigenvalue Problems on Multiprocessor Arrays
2. On Efficient Implementations of Kogbetliantz's Algorithm for Computing the Singular Value Decomposition
3. On Kogbetliantz's SVD Algorithm in the Presence of Clusters
4. Linear Convergence of the Row Cyclic Jacobi and Kogbetliantz Methods
5. On Cyclic Jacobi Methods
6. On the Quadratic Convergence of Jacobi Algorithms
7. On Jacobi Methods for Singular Value Decompositions
8. On the Quadratic Convergence of the Serial SVD Jacobi Methods for Triangular Matrices
9. On the Quadratic Convergence of the Special Cyclic Jacobi Method
10. Diagonalization of General Complex Matrices as a New Method for Solution of Linear Equations
11. Solutions of Linear Equations by Diagonalization of Coefficient Matrices
12. A Triangular Processor Array for Computing Singular Values
13. On Parallel Jacobi Orderings
14. A Proof of Convergence for Two Parallel Jacobi SVD Algorithms
15. On the Quadratic Convergence of Kogbetliantz's Algorithm for Computing the Singular Value Decomposition
16. On the Quadratic Convergence of the Jacobi Method for Normal Matrices
17. Note on the Quadratic Convergence of the Cyclic Jacobi Process
18. Almost Diagonal Matrices with Multiple or Close Eigenvalues