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On Aleksandrov-Fenchel Inequalities for k-Convex Domains
On Aleksandrov-Fenchel Inequalities k-Convex Domains
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2014/4/3
These are the lecture notes based on a course which the first named author has given at the second congress organized by the Riemann International School of Mathematics in Verbania, Italy from S...
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Regularization of Linear Ill-posed Problems Augmented Lagrangian Method Variational Inequalities Numerical Analysis
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2012/4/23
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived un...
Solution Building for Arbitrary System of Linear Inequalities in an Explicit Form
Linear Inequalities Convolution Variable Elimination Orthogonal Projection Method Fourier Algorithm Chernikov Rules Dependent Inequalities Redundant Inequalities Almost Dependent Inequalities Matrix Cleanup Coarsening
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2013/1/30
The known Fourier-Chernikov algorithm of linear inequality system convolution is complemented with an original procedure of all dependent (redundant) inequalities deletion. The concept of !°almost dep...
Systems of Quadratic Inequalities
Systems Quadratic Inequalities
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2011/2/28
We present a spectral sequence which efficiently computes Betti numbers of a closed semi-algebraic subset of RPn defined by a system of qua-dratic inequalities and the image of the homology homomorphi...
Radial symmetry and symmetry breaking for some interpolation inequalities
Sobolev spaces interpolation Hardy-Sobolev inequality
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2010/12/3
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
Iterative Algorithm for Finding Approximate Solutions of a Class of Mixed Variational-like Inequalities
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2007/12/12
The purpose of this paper is to investigate theiterative algorithm for finding approximate solutions of a classof mixed variational-like inequalities in a real Hilbert space,where the iterative algori...
ALTERNATING PROJECTION BASED PREDICTION-CORRECTION METHODS FOR STRUCTURED VARIATIONAL INEQUALITIES
Structured variational inequality Monotonicity Prediction-correction method
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2007/12/11
The monotone variational inequalities VI$(\Omega,F)$ have vast applications,
including optimal controls and convex programming. In this paper we focus
on the VI problems that have a particular split...