Primal-Dual Gradient Structured Functions: second-order results;links to epi-derivatives and partly smooth functions

Claudia Sagastizábal | Mifflin, Robert

Keywords: second-order derivatives | $\V\U$-decomposition | nonsmooth analysis | subdifferential

We give second-order expansions for quite general nonsmooth functions from the $\V\U$-space decomposition point of view. The results depend on primal-dual gradient structure which we relate to general concepts of second-order epi-derivatives and partly smooth functions. Expressions for the associated second-order objects are given in terms of $\U-$subspace Hessians.

Anexos:

• pdg.ps