Zobrazeno 1 - 10
of 110
pro vyhledávání: '"65K10, 90C25"'
We study accelerated Krasnoselskii-Mann-type methods with preconditioners in both continuous and discrete time. From a continuous time model, we derive a generalized fast Krasnoselskii-Mann method, providing a new yet simple proof of convergence that
Externí odkaz:
http://arxiv.org/abs/2411.18574
By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility problems, where the constraint sets need not be convex. Necessary and suffi
Externí odkaz:
http://arxiv.org/abs/2411.11019
Autor:
Mceowen, Skye, Calderone, Daniel J., Tiwary, Aman, Zhou, Jason S. K., Kim, Taewan, Elango, Purnanand, Acikmese, Behcet
This paper presents auto-tuned primal-dual successive convexification (Auto-SCvx), an algorithm designed to reliably achieve dynamically-feasible trajectory solutions for constrained hypersonic reentry optimal control problems across a large mission
Externí odkaz:
http://arxiv.org/abs/2411.08361
Autor:
Li, Jinlu
Let C[0, 1] be the Banach space of all continuous real valued functions on [0, 1]. For an arbitrarily given nonnegative integer n, let Pn denote the set of all polynomials with degree less than or equal to n. Pn is a closed subspace of C[0, 1]. In th
Externí odkaz:
http://arxiv.org/abs/2411.07178
In this paper, for the first time in the literature, we study the stability of solutions of two classes of feasibility (i.e., split equality and split feasibility) problems by set-valued and variational analysis techniques. Our idea is to equivalentl
Externí odkaz:
http://arxiv.org/abs/2410.16856
Autor:
Aarset, Christian
We investigate optimality conditions for the sensor placement problem within optimal experimental design, wherein one must decide on the optimal manner in which a fixed number of sensors can be arranged over a large number of candidate locations. By
Externí odkaz:
http://arxiv.org/abs/2410.16590
This paper develops a new parameter-free restarted method, namely RPF-SFISTA, and a new parameter-free aggressive regularization method, namely A-REG, for solving strongly convex and convex composite optimization problems, respectively. RPF-SFISTA ha
Externí odkaz:
http://arxiv.org/abs/2410.04248
Autor:
Li, Jinlu
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banac
Externí odkaz:
http://arxiv.org/abs/2407.21261
Autor:
Li, Jinlu
In this paper, we investigate some fixed-point properties of the Mordukhovich differential operator of set valued mappings (or, single valued mappings) on Banach spaces. In particular, we study the fixed-point properties of the Mordukhovich different
Externí odkaz:
http://arxiv.org/abs/2407.05227
In this work, we present a methodology for devising forward-backward methods for finding zeros in the sum of a finite number of maximally monotone operators. We extend the framework and techniques from [SIAM J. Optim., 34 (2024), pp. 1569-1594] to co
Externí odkaz:
http://arxiv.org/abs/2406.03309