Nonmonotone Forward-Backward Splitting Method for a Class of Infinite-Dimensional Nonsmooth Nonconvex Problems

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Title (deu)

Speaker / Lecturer

Behzad Azmi

U Konstanz

Description (deu)

This talk focuses on the convergence analysis of a nonmonotone forward-backward splitting method for tackling a class of nonsmooth composite problems in Hilbert spaces. The objective function is the sum of a Fréchet differentiable (not necessarily convex) function and a lower semicontinuous convex function. These problems are commonly encountered in optimization problems involving nonlinear partial differential equations with sparsity-promoting cost functionals. We discuss the convergence and complexity of the algorithm. In particular, linear convergence will be derived under quadratic growth-type conditions. Additionally, we provide insights from numerical experiments that validate our theoretical findings.

Keywords (deu)

One World Optimization Seminar

Subject (eng)

ÖFOS 2012 -- 101 -- Mathematics

Type (eng)

lecture

Language

[eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2069744

Date created

2024-06-04