Rotationally Invariant Rank 1 Convex Functions |
| |
| Authors: | M Šilhavý |
| |
| Institution: | (1) Mathematical Institute of the AV ČR, Žitná 25, 115 67 Prague 1, Czech Republic silhavy@math.cas.cz, CZ |
| |
| Abstract: | Let f be a function on the set M
n
xn of all n by n real matrices. If f is rotationally invariant with respect to the proper orthogonal group, it has a representation \tilde f through the signed singular values of the matrix argument ?∈ M^nxn. Necessary and sufficient conditions are given for the rank 1 convexity of f in terms of \tilde f .
Accepted 20 December 2000. Online Publication 18 May, 2001. |
| |
| Keywords: | , Rank 1 convex functions, Rotational invariance, AMS Classification, Primary 49K20, Secondary 73C50, |
| 本文献已被 SpringerLink 等数据库收录！ |
|
