# Rotationally Invariant Rank 1 Convex Functions

Rotationally Invariant Rank 1 Convex Functions 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 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

# Rotationally Invariant Rank 1 Convex Functions

, Volume 44 (1) – Jan 1, 2001
15 pages

/lp/springer_journal/rotationally-invariant-rank-1-convex-functions-Txal4IszM4
Publisher
Springer-Verlag
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-001-0012-z
Publisher site
See Article on Publisher Site

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