Convex Analysis and Optimization in Hadamard Spaces

By Miroslav Bacák. 2014

338 citations recorded by the source corpus.

This book gives a first systematic account on the subject of convex analysis and optimization in Hadamard spaces. It is primarily aimed at both graduate students and researchers in analysis and optimization.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/366bd26a5a662012deefe4cb9416bcc2be450de8

How researchers see this paper

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In Electrical and Electronic Engineering

1. Zuly Salinas
2. Simeon Reich
3. Hongyi Zhang
4. Giuseppe Savar'e
5. Suvrit Sra
6. Matteo Muratori

Citations in the corpus

• Gradient flows and Evolution Variational Inequalities in metric spaces. I: Structural properties (2018, positive): “which reproduces in our metric setting (with a better constant) the celebrated Crandall-Liggett estimates for contraction semigroups in Banach spaces [32], previously obtained in specificmetric settings under much stronger assumptions on d [63, 5, 26, 31, 13], the latter implying suitable contractio”
• Weak convergence of infinite products of operators in Hadamard spaces (2016, background): “Complete CAT(0) spaces are also known as Hadamard spaces (see [3]).”
• First-order Methods for Geodesically Convex Optimization (2016, background): “The recent monograph (Bac´ak, 2014) is devoted to g-convexity and g-convex optimization on geodesic metric spaces, though without any attention to global complexity analysis.”