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 Å∈ M^nxn. Necessary and sufficient conditions are given for the rank 1 convexity of f in terms of \tilde f .
Applied Mathematics and Optimization – Springer Journals
Published: Jan 1, 2001
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