Zobrazeno 1 - 10
of 2 978
pro vyhledávání: '"Minimization problem"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18841-18859 (2024)
In this study, we suggest a new class of forward-backward (FB) algorithms designed to solve convex minimization problems. Our method incorporates a linesearch technique, eliminating the need to choose Lipschitz assumptions explicitly. Additionally, w
Externí odkaz:
https://doaj.org/article/3d497ac52ad64ebda166be4248739767
Autor:
Marcio Cavalcante, Eduardo Lages, Romildo Escarpini Filho, Arnaldo Santos Júnior, Marcelo Araujo
Publikováno v:
F1000Research, Vol 13 (2024)
The finite-volume theory has shown to be numerically efficient and stable for topology optimization of continuum elastic structures. The significant features of this numerical technique are the local satisfaction of equilibrium equations and the empl
Externí odkaz:
https://doaj.org/article/a05cb27939de43a0b84c557483d801e2
Publikováno v:
SoftwareX, Vol 27, Iss , Pp 101783- (2024)
The Harmony Search (HS) algorithm, inspired by the improvisational process of musicians, offers a novel and effective approach to optimization problems. This paper presents an application designed to solve a wide range of minimization problems using
Externí odkaz:
https://doaj.org/article/6d10eebf9c3b4ee4b6ff9701e25c56c6
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16643-16665 (2024)
Inspired by the ROF model and the $ {L}^{1}/TV $ image denoising model, we propose a combined model to remove Gaussian noise and salt-and-pepper noise simultaneously. This model combines the $ {L}^{1} $ -data fidelity term, $ {L}^{2} $ -data fidelity
Externí odkaz:
https://doaj.org/article/497bb8b3f4bc4bdc80a1eb0ede53e917
Autor:
刘航(LIU Hang), 田书英(TIAN Shuying)
Publikováno v:
Zhejiang Daxue xuebao. Lixue ban, Vol 51, Iss 3, Pp 282-291 (2024)
A class of conical degenerate elliptic equations with potential functions is studied. The existence of the ground state solution for the equation is established by studying the constrained minimization problem. The blow-up behavior is analyzed as wel
Externí odkaz:
https://doaj.org/article/019b58ec35b24fc0a0f91fe576fc0bd2
Publikováno v:
Tạp chí Khoa học và Công nghệ, Pp 90-94 (2023)
In this paper, we propose a generalized Nesterov algorithm for the constrained optimization problems on a closed convex set. We prove the convergence as well as the convergence rate of the proposed algorithm. First, we present a new algorithm based o
Externí odkaz:
https://doaj.org/article/f0a083c9908f4cd4a3f59494246ead40
Autor:
Paresh Kumar Panigrahi, Sukanta Nayak
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 21329-21358 (2023)
Fuzzy systems of equations often appear while modeling physical systems with imprecisely defined parameters. Many mathematical methods are available to investigate them, but handling them is challenging due to the computational complexity and difficu
Externí odkaz:
https://doaj.org/article/ed1f29ecc29e4b57959af8a3c833e088
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 52, Iss 2 (2023)
In this paper, we introduce an inertial forward-backward splitting method together with a Halpern iterative algorithm for approximating a common solution of a finite family of split minimization problem involving two proper, lower semicontinuous and
Externí odkaz:
https://doaj.org/article/d383799ca5b34c959359ed9d3693aa0b
Autor:
Pattanapong Tianchai
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-34 (2023)
Abstract In this paper, we introduce a new iterative forward–backward splitting algorithm with errors for solving the split monotone variational inclusion problem of the sum of two monotone operators in real Hilbert spaces. We suggest and analyze t
Externí odkaz:
https://doaj.org/article/12b4dc933ae94426a1465080bccedc48
Autor:
Mircea Sofonea, Domingo A. Tarzia
Publikováno v:
Axioms, Vol 13, Iss 5, p 316 (2024)
We consider a history-dependent variational inequality in a real Hilbert space, for which we recall an existence and uniqueness result. We associate this inequality with a gap function, together with two additional problems: a nonlinear equation and
Externí odkaz:
https://doaj.org/article/ae3ae8363e8b4d7088c99aaa7d7710b9