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linear inverse problems solution

Ill-Posed and Linear Inverse Problems

Ill-Posed and Linear Inverse Problems

... ill-posed linear inverse problems that arises in many applications is ...these problems and it’s relation to the kernel, is ...stable solution to these problems we need some kind ...

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Filter based methods for statistical linear inverse problems

Filter based methods for statistical linear inverse problems

... Ill-posed inverse problems are ubiquitous in ...their solution has been greatly enhanced by a deep understanding of the linear inverse ...solve inverse problems by ...

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Exact Solution of a Linear-Quadratic Inverse Eigenvalue Problem on a Certain Hamiltonian Symmetric Matrices

Exact Solution of a Linear-Quadratic Inverse Eigenvalue Problem on a Certain Hamiltonian Symmetric Matrices

... the inverse eigenvalue problem for Hamilton matrices together with numerical examples are systematically reviewed and discussed in respect of the inverse eigenvalue problems for certain singular and ...

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Stationary and Nonstationary Problems of Active Shielding

Stationary and Nonstationary Problems of Active Shielding

... The solution of the AS inverse source problem has been obtained in general nonstationary linear and stationary nonlinear ...The solution only requires the knowledge of the total field ...

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Sparse deterministic approximation of Bayesian inverse problems

Sparse deterministic approximation of Bayesian inverse problems

... Our objective is to find constructive algorithms which achieve the high rates of convergence, in terms of number of retained terms N in a gpc expansion, implied by the theory of the previous section, and offering the ...

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The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity

The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity

... is linear and we assume that the thermal and mechanical properties of the material are constant, the numerical technique we choose to employ to solve this problem is the method of fundamental solutions (MFS) which ...

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The numerical solution of forward and inverse Robin problems for Laplace’s equation

The numerical solution of forward and inverse Robin problems for Laplace’s equation

... The paper is organized as follows. In Sect. 2, the Robin inverse problem is transformed into an equivalent BIE. We then derive a fast algorithm for discretization of its linear sys- tem by exploiting the ...

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A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity

A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity

... two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy measurements taken on the remaining accessible boundary ...This inverse problem is solved by employing the method of ...

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PARTICULAR SOLUTION OF LINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS BY INVERSE OPERATORS

PARTICULAR SOLUTION OF LINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS BY INVERSE OPERATORS

... Cauchy‐type problems for fractional order differential equations together with its applications can be found in the literature (Abbas et al, 2012; Diethelm, 2010; Kilbas et  ...

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Atomic Solution of Certain Inverse Problems

Atomic Solution of Certain Inverse Problems

... defined linear operators on the codomain of the function u , where u is continuously differentiable on I = [0, 1] or [0, ∞) with values in the Banach space X ...

5

Filter based methods for statistical linear inverse problems

Filter based methods for statistical linear inverse problems

... Ill-posed inverse problems are ubiquitous in ...their solution has been greatly enhanced by a deep understanding of the linear inverse ...solve inverse problems by ...

29

Constructed nets with perturbations for equilibrium and fixed point problems

Constructed nets with perturbations for equilibrium and fixed point problems

... least-squares solution of the constrained linear inverse prob- lems, we study the general case of finding the minimum-norm solutions for the mixed equilibrium problem ...

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A Family of Nonlinear Problems in Particle Suspension Mechanics with Some Special Characteristics

A Family of Nonlinear Problems in Particle Suspension Mechanics with Some Special Characteristics

... nonlinear problems arising in low Reynolds number hydrodynamics, in which the analytical solution of the linearized equation yields an approximation to the numerical solution of the full nonlinear ...

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ON THE EXISTENCE OF SOLUTION FOR AN INVERSE PROBLEM

ON THE EXISTENCE OF SOLUTION FOR AN INVERSE PROBLEM

... In many work of boundary detection problem, on the part of the boundary to be deter- mined, called free boundary, we have two conditions, and to proceed to a formulation in shape optimization problem, we introduce one of ...

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Solution of the Generalized Interval Linear Programming Problems: Pessimistic and Optimistic Approaches

Solution of the Generalized Interval Linear Programming Problems: Pessimistic and Optimistic Approaches

... We believe that this gap in fuzzy numbers is a re- sult of similar gap in intervals. So we must fill the set of intervals with new numbers at first, which simplify the calculations. Our approach is to define arithmetic ...

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A center of a polytope: An expository review and a parallel implementation

A center of a polytope: An expository review and a parallel implementation

... Center of a polytope, consistency check, Euclidean distance, initial feasible solution, linear programming, Moore-Penrose inverse, nonnegative solution, parallel computation.. 1991 AMS S[r] ...

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Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

... In this paper, Homotopy perturbation method is used to find the approximate solution of the optimal control of linear systems. In this method the initial approximations are freely chosen, and a Homotopy is ...

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Multi-Resolution Techniques Based on Shape-Optimization for the Solution of Inverse-Scattering Problems

Multi-Resolution Techniques Based on Shape-Optimization for the Solution of Inverse-Scattering Problems

... is assumed of simple shape (e.g., a rectangle) is reformulated in terms of an inverse scattering one and successively solved by means of the minimization of a suitably defined cost function [6]. After such a step, ...

251

Non Linear Feedback Neural Network for Solution of Quadratic Programming Problems

Non Linear Feedback Neural Network for Solution of Quadratic Programming Problems

... to linear constraints on these variables. Such problems arise naturally in a variety of applications, such as structural analysis [1], optimal control [2], plastic analysis [3], antenna array pattern ...

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Identification of the unknown coefficient in a quasi linear parabolic equation by a semigroup approach

Identification of the unknown coefficient in a quasi linear parabolic equation by a semigroup approach

... The aim of this study was to determine the unknown coefficient a(x, t) via the semigroup approach. Lemma in Section  plays a crucial role in the identification of the unknown co- efficient a(x, t). This lemma leads us to new ...

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