A direct proof of the uniqueness of the square-root of a positive-definite tensor (Q1390798)
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 direct proof of the uniqueness of the square-root of a positive-definite tensor |
scientific article; zbMATH DE number 1176766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A direct proof of the uniqueness of the square-root of a positive-definite tensor |
scientific article; zbMATH DE number 1176766 |
Statements
A direct proof of the uniqueness of the square-root of a positive-definite tensor (English)
0 references
20 July 1998
0 references
The uniqueness of the square-root of a positive-definite tensor is shown without using the notion of eigenvalues and eigenvectors. The paper has one theorem, the square-root theorem: Let \(C\) be a second-order positive-definite tensor on \(V\). Then there is a unique positive-definite tensor \(A\) such that \(A^2= C\).
0 references
inner-product vector space
0 references
square-root of a positive-definite tensor
0 references
