On the monotonicity of the interval versions of Schulz's method. II (Q1822454)
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: On the monotonicity of the interval versions of Schulz's method. II |
scientific article; zbMATH DE number 4003361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the monotonicity of the interval versions of Schulz's method. II |
scientific article; zbMATH DE number 4003361 |
Statements
On the monotonicity of the interval versions of Schulz's method. II (English)
0 references
1987
0 references
We are considering the interval versions of Schulz's method for bounding the inverse of a matrix. We prove a necessary and sufficient criterion for the existence of an interval inclusion such that the iterates are strictly monotonic in both bounds. In particular, such an interval matrix is constructed. [For part I see ibid. 38, 71-74 (1987; Zbl 0594.65015)].
0 references
matrix inversion
0 references
monotone iteration
0 references
interval analysis
0 references
Schulz's method
0 references
interval inclusion
0 references
interval matrix
0 references
0 references
