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pro vyhledávání: '"A. Giselsson"'
The Chambolle--Pock method is a versatile three-parameter algorithm designed to solve a broad class of composite convex optimization problems, which encompass two proper, lower semicontinuous, and convex functions, along with a linear operator $L$. T
Externí odkaz:
http://arxiv.org/abs/2309.03998
Autor:
Giselsson, Olof
We show that for $q\in (0,1),$ the $C^{*}$-algebra $SU_{q}(3)$ is isomorphic a rank $2$ graph $C^{*}$-algebra (in the sense of Pask and Kumjian). This graph is derived by passing the to the limit $q\to 0$ for a set of generators of $SU_{q}(3)$. Moreo
Externí odkaz:
http://arxiv.org/abs/2307.12878
We present a methodology for establishing the existence of quadratic Lyapunov inequalities for a wide range of first-order methods used to solve convex optimization problems. In particular, we consider (i) classes of optimization problems of finite-s
Externí odkaz:
http://arxiv.org/abs/2302.06713
Publikováno v:
In European Journal of Control November 2023 74
It is shown that the behavior of an $m$-port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elements, and a structured skew-symmetric linear operator representing the i
Externí odkaz:
http://arxiv.org/abs/2211.14010
The nonlinear, or warped, resolvent recently explored by Giselsson and B\`ui-Combettes has been used to model a large set of existing and new monotone inclusion algorithms. To establish convergent algorithms based on these resolvents, corrective proj
Externí odkaz:
http://arxiv.org/abs/2112.00481
We propose a variation of the forward--backward splitting method for solving structured monotone inclusions. Our method integrates past iterates and two deviation vectors into the update equations. These deviation vectors bring flexibility to the alg
Externí odkaz:
http://arxiv.org/abs/2208.05498
We investigate frugal splitting operators for finite sum monotone inclusion problems. These operators utilize exactly one direct or resolvent evaluation of each operator of the sum, and the splitting operator's output is dictated by linear combinatio
Externí odkaz:
http://arxiv.org/abs/2206.11177
We propose a novel dynamically weighted inertial forward-backward algorithm (DWIFOB) for solving structured monotone inclusion problems. The scheme exploits the globally convergent forward-backward algorithm with deviations in [26] as the basis and c
Externí odkaz:
http://arxiv.org/abs/2203.00028