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Non-Convex Optimization of Resource Allocation in Fog Computing Using Successive Approximation
Fog computing can deliver low delay and advanced IT services to end users with substantially reduced energy consumption. Nevertheless, with soaring...
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Successive Approximation of Neutral Stochastic Partial Integrodifferential Systems with State-Dependent Delay and Poisson Jumps
This study establishes the existence and uniqueness of moderate solutions (MD) of stochastic neutral partial integrodifferential (SNPID) systems with...
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Accelerating inexact successive quadratic approximation for regularized optimization through manifold identification
For regularized optimization that minimizes the sum of a smooth term and a regularizer that promotes structured solutions, inexact...
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An inexact successive quadratic approximation method for a class of difference-of-convex optimization problems
In this paper, we propose a new method for a class of difference-of-convex (DC) optimization problems, whose objective is the sum of a smooth...
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Successive Approximations to Estimate Derivatives
In the chapter How Fast is CO2 Increasing?, chapter 4 we estimated the slope of the tangent line at...
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On Successive Approximations for Compact-Valued Nonexpansive Map**s
We show that for a given initial point the typical, in the sense of Baire category, nonexpansive compact valued map** F has the following...
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Hybridized successive complementary expansions for solving convection-dominated 2D elliptic PDEs with boundary layers
It is well known that the standard discretization methods usually suffer from several numerical instabilities when simulating advection-dominated...
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Convergence of successive linear programming algorithms for noisy functions
Gradient-based methods have been highly successful for solving a variety of both unconstrained and constrained nonlinear optimization problems. In...
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Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials
In this paper, a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied. The contact is...
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Polynomial Approximation
This project is devoted to the approximation of a given real function defined on an interval...
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A successive centralized circumcentered-reflection method for the convex feasibility problem
In this paper, we present a successive centralization process for the circumcentered-reflection method with several control sequences for solving the...
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The Low-Rank Approximation of Fourth-Order Partial-Symmetric and Conjugate Partial-Symmetric Tensor
We present an orthogonal matrix outer product decomposition for the fourth-order conjugate partial-symmetric (CPS) tensor and show that the greedy...
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Gravimetric multiscale approximation and mollifier decorrelation
The specific idea of the mollifier method in the theory of inverse problems is a “replacement (re)solution”, where one finds a too “strong...
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Approximation algorithms for stochastic online matching with reusable resources
We consider a class of stochastic online matching problems, where a set of sequentially arriving jobs are to be matched to a group of workers. The...
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Adaptive Variational-Grid Approximation
We consider approaches to the adaptive choice of an approximation space in the variational-grid method for one-dimensional second order boundary...
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Error approximation for backwards and simple continued fractions
In this paper, we provide a new framework for studying continued fractions (CFs) by means of the backwards continued fraction (BCF). We develop an...
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Estimation of Pointwise Approximation Error Using a Set of Numerical Solutions
AbstractThis paper deals with estimation of local (pointwise) approximation error on an ensemble of numerical solutions obtained by using independent...
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Chebyshev Approximation of Multivariable Functions by a Constrained Rational Expression
The authors propose a method for constructing the Chebyshev approximation of multivariable functions by the rational expression with the...
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On the Best Simultaneous Approximation in the Bergman Space \(B_2\)
AbstractWe study extremal problems related to the best joint polynomial approximation of functions analytic in the unit disk and belonging to the...