Zobrazeno 1 - 10
of 526
pro vyhledávání: '"BAUSCHKE, HEINZ"'
Publikováno v:
Open Journal of Mathematical Optimization, Vol 2, Iss , Pp 1-18 (2021)
The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hilbert space is actually equal to the intersection of certain translatio
Externí odkaz:
https://doaj.org/article/460c6d8a1e804d118cd646709e992c39
Autor:
Bauschke, Heinz H., Gao, Yuan
It is well known that the iterates of an averaged nonexpansive mapping may only converge weakly to fixed point. A celebrated result by Baillon, Bruck, and Reich from 1978 yields strong convergence in the presence of linearity. In this paper, we exten
Externí odkaz:
http://arxiv.org/abs/2404.04402
Monotone inclusion problems occur in many areas of optimization and variational analysis. Splitting methods, which utilize resolvents or proximal mappings of the underlying operators, are often applied to solve these problems. In 2022, Bredies, Chenc
Externí odkaz:
http://arxiv.org/abs/2307.09747
Projection operators are fundamental algorithmic operators in Analysis and Optimization. It is well known that these operators are firmly nonexpansive; however, their composition is generally only averaged and no longer firmly nonexpansive. In this n
Externí odkaz:
http://arxiv.org/abs/2303.13738
The solution of the cubic equation has a century-long history; however, the usual presentation is geared towards applications in algebra and is somewhat inconvenient to use in optimization where frequently the main interest lies in real roots. In thi
Externí odkaz:
http://arxiv.org/abs/2302.10731
The Fenchel-Young inequality is fundamental in Convex Analysis and Optimization. It states that the difference between certain function values of two vectors and their inner product is nonnegative. Recently, Carlier introduced a very nice sharpening
Externí odkaz:
http://arxiv.org/abs/2206.14872
Let $A$ be a closed affine subspace and let $B$ be a hyperplane in a Hilbert space. Suppose we are given their associated nearest point mappings $P_A$ and $P_B$, respectively. We present a formula for the projection onto their intersection $A\cap B$.
Externí odkaz:
http://arxiv.org/abs/2206.11373
Publikováno v:
Applied Set-Valued Analysis and Optimization 5 (2023), No. 2, pp. 163-180
In $\mathbb{R}^3$, a hyperbolic paraboloid is a classical saddle-shaped quadric surface. Recently, Elser has modeled problems arising in Deep Learning using rectangular hyperbolic paraboloids in $\mathbb{R}^n$. Motivated by his work, we provide a rig
Externí odkaz:
http://arxiv.org/abs/2206.04878