A generalisation of the interval Newton single-step method for nonlinear systems of equations (Q1263938)
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: A generalisation of the interval Newton single-step method for nonlinear systems of equations |
scientific article; zbMATH DE number 4128305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalisation of the interval Newton single-step method for nonlinear systems of equations |
scientific article; zbMATH DE number 4128305 |
Statements
A generalisation of the interval Newton single-step method for nonlinear systems of equations (English)
0 references
1989
0 references
This paper deals with interval iterative methods for solving nonlinear systems of equations. Already well-known methods are combined to a new one having better enclosing properties. The central concept in the proof of convergence is the fixed point inverse of an interval matrix. Practical tests with nonlinear systems arising from discretization of certain partial differential equations show the efficiency of the method.
0 references
interval Newton single-step method
0 references
interval analysis
0 references
interval arithmetic
0 references
interval iterative methods
0 references
convergence
0 references
fixed point inverse
0 references
interval matrix
0 references
nonlinear systems
0 references
