Boris Polyak, Andrey Tremba
Published 2019-08-27Version 1
We focus on finding sparse and least-$\ell_1$-norm solutions for unconstrained nonlinear optimal control problems. Such optimization problems are non-convex and non-smooth, nevertheless recent versions of Newton method for under-determined equations can be applied successively for such problems.
Comments: Author version with errata after (15) at page 6 (missing formula for $\bar{v}$ is restored). J Glob Optim (2019)
Solving underdetermined nonlinear equations by Newton-like method
Duality of optimization problems with gauge functions
Directional Tykhonov well-posedness for optimization problems and variational inequalities
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