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A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
Summary: We study optimization problems on Hadamard manifolds, motivated by recent advances in geometric approaches to optimization on …
zbmath arxiv
A Projection-Free Algorithm for Variational Inequalities in Hilbert Spaces with Strong Convergence
Summary: We study variational inequalities governed by a point-to-set maximal monotone operator in a real Hilbert space and constrained …
zbmath arxiv
Fitting scattered data with optional monotonicity constraints on GPU: LipFit package
zbmath arxiv
Global minimisation of nonconvex functions by generalising the mirror descent method
Summary: In this paper we introduce two conceptual algorithms for minimising abstract convex functions. Both algorithms rely on solving …
zbmath arxiv
A hitchhiker's guide to first-order elliptic boundary value problems
Summary: To empower the mathematical hitchhiker wishing to use operator methods in geometry and topology, we present this user’s …
zbmath arxiv
A lower bound theorem for $d$-polytopes with $2d+2$ vertices
Summary: We establish a lower bound theorem for the number of $k$-faces ($1\le k\le d-2$) in a $d$-dimensional polytope $P$ …
zbmath arxiv
A lower bound theorem for $d$-polytopes with at most $3d-1$ vertices
zbmath arxiv
A refined lower bound theorem for $d$-polytopes with at most $2d$ vertices
zbmath arxiv
First-order elliptic boundary value problems on manifolds with non-compact boundary
Summary: We consider first-order elliptic differential operators acting on vector bundles over smooth manifolds with smooth boundary, …
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Frank-Wolfe algorithm for DC optimization problem
zbmath arxiv