Split hierarchical variational inequality problems and related problems
, 2014 The main objective of this paper is to introduce a split hierarchical variational inequality problem. Several related problems are also considered. We propose an iterative method for finding a solution of our problem. The weak convergence of the sequence
Q. Ansari, Nimit Nimana, N. Petrot
semanticscholar +1 more source
On the nonlinear implicit complementarity problem
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 783-789, 1993.
A. H. Siddiqi, Q. H. Ansari
wiley +1 more source
Steffensen Methods for Solving Generalized Equations [PDF]
, 2008 2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.We provide a local convergence analysis for Steffensen's method in order to solve a generalized equation in a Banach space setting. Using well known fixed point theorems for set-valued maps [13]
Argyros, Ioannis K., Hilout, Saïd
core
Inverse Scattering by the Stability Index Method
, 2001 A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem.
Gutman, S., Ramm, A. G., Scheid, W.
core +3 more sources
A hierarchical loss and its problems when classifying non-hierarchically
, 2019 Failing to distinguish between a sheepdog and a skyscraper should be worse and penalized more than failing to distinguish between a sheepdog and a poodle; after all, sheepdogs and poodles are both breeds of dogs.
LeCun, Yann, Tygert, Mark, Wu, Cinna
core +1 more source
A variational method for quantitative photoacoustic tomography with piecewise constant coefficients
, 2015 In this article, we consider the inverse problem of determining spatially heterogeneous absorption and diffusion coefficients from a single measurement of the absorbed energy (in the steady-state diffusion approximation of light transfer).
Beretta, Elena +3 more
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The robust isolated calmness of spectral norm regularized convex matrix optimization problems
Open MathematicsThis article aims to provide a series of characterizations of the robust isolated calmness of the Karush-Kuhn-Tucker (KKT) mapping for spectral norm regularized convex optimization problems. By establishing the variational properties of the spectral norm
Yin Ziran, Chen Xiaoyu, Zhang Jihong
doaj +1 more source
Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques [PDF]
, 2010 Parabolic variational inequalities of Allen-Cahn and Cahn- Hilliard type are solved using methods involving constrained optimization. Time discrete variants are formulated with the help of Lagrange multipliers for local and non-local equality and ...
Blank, Luise +4 more
core
Methods of tropical optimization in rating alternatives based on pairwise comparisons
, 2017 We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices.
A Farkas +9 more
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A constrained tropical optimization problem: complete solution and application example
, 2013 The paper focuses on a multidimensional optimization problem, which is formulated in terms of tropical mathematics and consists in minimizing a nonlinear objective function subject to linear inequality constraints.
Krivulin, Nikolai
core +1 more source