Quadratic convergence of scaled matrices in Jacobi method (Q1590190)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Quadratic convergence of scaled matrices in Jacobi method |
scientific article; zbMATH DE number 1545481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic convergence of scaled matrices in Jacobi method |
scientific article; zbMATH DE number 1545481 |
Statements
Quadratic convergence of scaled matrices in Jacobi method (English)
0 references
19 December 2000
0 references
This paper concerns symmetric positive definite matrices with simple eigenvalues. For an iterative sequence generated by the column-cyclic strategy it gives a quadratic convergence bound in terms of the off-norm of the scaled initial matrix and the minimum relative gap in the spectrum. Similar results are promised (on p. 183) for more general matrices.
0 references
Jacobi method
0 references
scaling
0 references
symmetric positive definite matrices
0 references
eigenvalues
0 references
iterative sequence
0 references
quadratic convergence
0 references