Results 21 to 30 of about 19,699 (306)
Mathematics, 2022 Given several nonnegative matrices with a single pattern of allocation among their zero/nonzero elements, the average matrix should have the same pattern as well.
Vladimir Yu. Protasov +2 more
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Discrete Dynamics in Nature and Society, 2015 We study a system of 2-coupled nonlinear fractional Schrödinger equations. Firstly, we construct constrained minimization problem to the system. Next, we prove the existence of standing waves for the system by using the concentration-compactness and ...
Xiuyan Sha, Huanmin Ge, Jie Xin
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Hölder continuity of minimizers for the state constrained Boza problem [PDF]
PAMM, 2007 AbstractRegularity of minimizers for the Bolza optimal control problem has been extensively studied by several authors (cf. For instance [2–5] and the references contained therein). Here we give a generalization of some results of [5] by using an approach introduced in [3].
Bettiol, Piernicola +1 more
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The Conjugate Residual Method for Constrained Minimization Problems [PDF]
SIAM Journal on Numerical Analysis, 1970 The method of conjugate gradients, a particular version of the general class of conjugate direction methods, was originally developed for solving a linear system of equations$$ Ax = b,$$where $A$ is an $n \times n$ symmetric, positive definite matrix, $x$ is an unknown $n$-vector and $b$ is a fixed $n$-vector.
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Advances in Mathematical Physics, 2016 We consider the standing wave solutions for nonlinear fractional Schrödinger equations with focusing Hartree type and power type nonlinearities. We first establish the constrained minimization problem via applying variational method.
Na Zhang, Jie Xin
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An Adaptive Penalty Method for Inequality Constrained Minimization Problems [PDF]
, 2020 The primal-dual active set method is observed to be the limit of a sequence of penalty formulations. Using this perspective, we propose a penalty method that adaptively becomes the active set method as the residual of the iterate decreases. The adaptive penalty method (APM) therewith combines the main advantages of both methods, namely the ease of ...
Wietse M. Boon, Jan M. Nordbotten
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Pooling problem: Alternate formulations and solution methods [PDF]
, 2004 Copyright @ 2004 INFORMSThe pooling problem, which is fundamental to the petroleum industry, describes a situation in which products possessing different attribute qualities are mixed in a series of pools in such a way that the attribute qualities of the
Brimberg, J +9 more
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Optimality conditions for interval-valued univex programming
Journal of Inequalities and Applications, 2019 We introduce concepts of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, and show examples for the illustration purposes.
Lifeng Li, Jianke Zhang, Chang Zhou
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Mathematics, 2021 In this research, we study the convex minimization problem in the form of the sum of two proper, lower-semicontinuous, and convex functions. We introduce a new projected forward-backward algorithm using linesearch and inertial techniques.
Suthep Suantai +2 more
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Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation
Discrete and Continuous Dynamical Systems, 2021 Let $a>0,b>0$ and $V(x)\geq0$ be a coercive function in $\mathbb R^2$. We study the following constrained minimization problem on a suitable weighted Sobolev space $\mathcal{H}$: \begin{equation*} e_{a}(b):=\inf\left\{E_{a}^{b}(u):u\in\mathcal{H}\ \mbox{and}\ \int_{\mathbb R^{2}}|u|^{2}dx=1\right\}, \end{equation*} where $E_{a}^{b}(u)$ is a ...
Guo, Helin, Zhou, Huan-Song
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