Newton's iteration for inversion of Cauchy-like and other structured matrices (Q1361881)
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: Newton's iteration for inversion of Cauchy-like and other structured matrices |
scientific article; zbMATH DE number 1040689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Newton's iteration for inversion of Cauchy-like and other structured matrices |
scientific article; zbMATH DE number 1040689 |
Statements
Newton's iteration for inversion of Cauchy-like and other structured matrices (English)
0 references
5 March 1998
0 references
The authors consider the solution of a nonsingular Cauchy-like linear system, \(Cx=v\), and the inversion of a nonsingular Cauchy-like matrix \(C\). They modify the Newton iterations in a way which leads to a significant saving of the computational time and memory space. The algorithm can also be extended to rapid refinement of rough initial approximations to the inverses of Vandermonde-like, Chebyshev-Vandermonde-like and Toeplitz-like matrices.
0 references
matrix inversion
0 references
Chebyshev-Vandermonde matrix
0 references
Toeplitz matrix
0 references
nonsingular Cauchy-like linear system
0 references
nonsingular Cauchy-like matrix
0 references
Newton iterations
0 references
algorithm
0 references
0 references
0 references
0.92120385
0 references
0 references
0.9081624
0 references
0.9057307
0 references
0 references
0.9026324
0 references
