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M. Šilhavý (2002)
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. Let fbe a function on the set Mnxnof all nby nreal matrices. If fis 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 fin terms of \tilde f .
Applied Mathematics & Optimization – Springer Journals
Published: Jan 1, 2001
Keywords: Key words. Rank 1 convex functions, Rotational invariance. AMS Classification. Primary 49K20, Secondary 73C50.
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