Tensor and border rank of certain classes of matrices and the fast evaluation of determinant, inverse matrix, and eigenvalues (Q1085947)
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: Tensor and border rank of certain classes of matrices and the fast evaluation of determinant, inverse matrix, and eigenvalues |
scientific article; zbMATH DE number 3984456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor and border rank of certain classes of matrices and the fast evaluation of determinant, inverse matrix, and eigenvalues |
scientific article; zbMATH DE number 3984456 |
Statements
Tensor and border rank of certain classes of matrices and the fast evaluation of determinant, inverse matrix, and eigenvalues (English)
0 references
1985
0 references
L'A. considère l'espace linéaire engendré par les matrices (n\(\times n)\) linéairement indépendantes \(\{A_ 1,A_ 2,...,A_ p\}\). Il expose divers algorithmes de calcul qu'il rend plus rapides en précisant, à chaque fois, le nombre de pas. Des applications sont données dans le cas de matrices bandes de Toeplitz.
0 references
tensor rank
0 references
parallel inversion
0 references
determinant
0 references
parallel algorithm
0 references
sequential algorithm
0 references
bisection method
0 references
Newton's iterations method
0 references
shifted inverse power method
0 references
eigenvalues
0 references
banded Toeplitz matrices
0 references
0 references
0.8805456
0 references
0.8761964
0 references
0.87501043
0 references
0.8716211
0 references
0.8634696
0 references
0.86339986
0 references
0.86322504
0 references
0 references
0.8610404
0 references
0 references
