On two functions of a matrix with positive definite Hermitian part (Q1923208)
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 two functions of a matrix with positive definite Hermitian part |
scientific article; zbMATH DE number 931939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two functions of a matrix with positive definite Hermitian part |
scientific article; zbMATH DE number 931939 |
Statements
On two functions of a matrix with positive definite Hermitian part (English)
0 references
11 March 1997
0 references
The two functions are \(H(A^{-1})^{-1}\) and \(A^{-1}A^H\) where \(H(A)\) is the Hermitian part of \(A\) and \(A^H\) is the conjugate transpose. The author obtains new and improved bounds for norms and eigenvalues when we perturb \(A\) to some \(A+E\).
0 references
perturbation bounds
0 references
Hermitian part
0 references
norms
0 references
eigenvalues
0 references
