Zobrazeno 1 - 10
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pro vyhledávání: '"Heinz, H"'
Finding zeros of the sum of two maximally monotoneoperators involving a continuous linear operator is a central problem in optimization and monotone operator theory. We revisit the duality framework proposed by Eckstein, Ferris, Pennanen, and Robinso
Externí odkaz:
http://arxiv.org/abs/2412.11880
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
Publikováno v:
Frontiers in Sustainable Food Systems, Vol 8 (2024)
The dairy industry in South Africa is currently grappling with significant challenges, including escalating costs and diminishing profit margins. However, these difficulties also create a pivotal opportunity for the sector to embrace sustainable prac
Externí odkaz:
https://doaj.org/article/286882349044499c95bd2e61c6ea5ed2
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