- Variational Analysis of Non-Lipschitz Spectral Functions James V. Burke (burkemath.washington.edu) Michael L. Overton (overtoncs.nyu.edu) Abstract: We consider spectral functions $f \circ \lambda$, where $f$ is any permutation-invariant mapping from $\Cx^n$ to $\Rl$, and $\lambda$ is the eigenvalue map from the set of $n \times n$ complex matrices to $\Cx^n$, ordering the eigenvalues lexicographically. For example, if $f$ is the function maximum real part Keywords: Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization ) Citation: Math. Programming 90 (2001), pp. 317-352 Download: Entry Submitted: 06/01/2001Entry Accepted: 06/12/2001Entry Last Modified: 06/01/2001Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Programming Society and by the Optimization Technology Center.