Semi-algebraic functions have small subdifferentials

Details Semi-algebraic functions have small subdifferentials Semi-algebraic functions have small subdifferentials

2010-04-02

arxiv.org/abs/1004.0368v2

Mathematics

Optimization and Control

21 pages, 1 figure, Accepted for publication in Mathematical Programming, Ser. B

Scientific paper

We prove that the subdifferential of any semi-algebraic extended-real-valued
function on $\R^n$ has $n$-dimensional graph. We discuss consequences for
generic semi-algebraic optimization problems.

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