Results 1 to 10 of about 22,159,556 (179)

Sensitivity Analysis in Variational Inequalities [PDF]

open access: yesMathematics of Operations Research, 1988
In this paper we derive conditions for the local uniqueness, continuity and differentiability of a solution of parametric variational inequalities. Our approach is new and has a strong geometric flavor. As an illustration we discuss the sensitivity of the classical complementarity problem.
Stella Dafermos
exaly   +4 more sources

Variational nonparametric discriminant analysis [PDF]

open access: yesComputational Statistics & Data Analysis, 2020
Variable selection and classification are common objectives in the analysis of high-dimensional data. Most such methods make distributional assumptions that may not be compatible with the diverse families of distributions data can take. A novel Bayesian nonparametric discriminant analysis model that performs both variable selection and classification ...
Weichang Yu 0001   +2 more
openaire   +2 more sources

Variational Methods in Convex Analysis [PDF]

open access: yesJournal of Global Optimization, 2006
The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Jonathan M. Borwein, Qiji J. Zhu
openaire   +3 more sources

The Principle of Covariance and the Hamiltonian Formulation of General Relativity

open access: yesEntropy, 2021
The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed.
Massimo Tessarotto, Claudio Cremaschini
doaj   +1 more source

Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations

open access: yesDesimal, 2021
The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla   +3 more
doaj   +1 more source

Optimal Control of Differential Inclusions, II: Sweeping

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
This paper is devoted to optimal control of dynamical systems governed by differential inclusions with discontinuous velocity mappings. This framework mostly concerns a new class of optimal control problems described by various versions of the socalled ...
B.S. Mordukhovich
doaj   +1 more source

Sensitivity Analysis for Variational Inequalities [PDF]

open access: yesMathematics of Operations Research, 1992
In this paper we study the behavior of the local solutions of perturbed variational inequalities, governed by perturbations to both the variational inequality function and the feasible region. Assuming appropriate second-order and regularity conditions, we show that the perturbed local solution set is Lipschitz continuous and directionally ...
Yuping Qiu, Thomas L. Magnanti
openaire   +1 more source

Multistep variational data assimilation: important issues and a spectral approach

open access: yesTellus: Series A, Dynamic Meteorology and Oceanography, 2016
In this paper, two important issues are raised for multistep variational data assimilation in which broadly distributed coarse-resolution observations are analysed in the first step, and then locally distributed high-resolution observations are analysed ...
Qin Xu   +5 more
doaj   +1 more source

An Adaptive Variational Mode Decomposition Technique with Differential Evolution Algorithm and Its Application Analysis

open access: yesShock and Vibration, 2021
Variational mode decomposition is an adaptive nonrecursive signal decomposition and time-frequency distribution estimation method. The improper selection of the decomposition number will cause under decomposition or over decomposition, and the improper ...
Yuanxin Wang
doaj   +1 more source

Optimal Control of Differential Inclusions, I: Lipschitzian case

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation.
B.S. Mordukhovich
doaj   +1 more source

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