L-curve for the Hilbert operator inverse problem
![Solution of the inverse problem for Bessel operator on an interval \([ 1,a ]\)](data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==)
Solution of the inverse problem for Bessel operator on an interval \([ 1,a ]\)
... on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are similar to the classical ...
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Large-x analysis of an operator valued Riemann–Hilbert problem
... the operator valued Riemann- Hilbert problem associated with a one-parameter t deformation of the kernel V given in ...scalar operator valued Riemann–Hilbert problem and ...
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Direct and inverse problem for geometric perturbation of the Laplace operator in a strip
... the inverse problem of determining geometric shape of a part γ of the boundary of a perturbed strip Ω from a pair of Cauchy data of a harmonic function u in Ω ...
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Boundary Value Problem for an Operator Differential Riccati Equation in the Hilbert Space on the Interval
... nonlinear operator-differential Riccati equa- tion in the Hilbert space on the interval and whole line with parameter ...value problem which for ε = 0 turns in one of the solutions of generating ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... Sturm-Liouville operator with an integrable potential on the half-line is ...The inverse spectral problem is studied, which consists in recovering of this operator by the Weyl ...
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Localisation Inverse Problem and Dirichlet to Neumann Operator for Absorbing Laplacian Transport
... localisation inverse problem of absorbing domains and its relative Dirichlet-to-Neumann operator ...explicitly operator , and we show that Green-Ostrogradski theorem is adopted to this ...
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Periodic Jacobi operator with finitely supported perturbations: The inverse resonance problem
... The inverse problem was solved for periodic Jacobi operators: ...The inverse scattering problem for asymptotically periodic coefficients was solved by Khanmame- dov: [12] (note that the Russian ...
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... Sturm-Liouville operator with piecewise continuous coefficient and spectral parameter in the boundary conditions is ...eigenvalue problem is investigated; it is shown that the eigenfunctions form a complete ...
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in boundary ...resolvent operator is ...the inverse problem with Weyl function and spectral data are ...
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Inverse Problem of Astrodynamics
... Here a more universal approach was suggested. The proposed hypothesis allows us to exclude the error of the approximate operator from the calculations. Also conditions for the existence of an approximate solution ...
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A rainbow inverse problem
... unidimensional curve called the reflectance spectrum, which is the relative energy given back by the object for each wavelength of the visible range, when it is enlighted with a white ...the inverse ...
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Functional inverse regression and reproducing kernel Hilbert space
... 2.1 FDA More and more data nowadays can be easily collected in the form of curves or images. Statistical methods for analyzing such data are termed “functional data analysis”, a term coined by Ramsay and Dalzell (1991). ...
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Interpolation in variable Hilbert scales with application to inverse problems
... be found. We emphasize that interpolation inequalities are used to establish such results and we refer to [7, Chapt. 8.4] for details. The aim of this paper is to derive order optimal convergence rate results for a ...
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Finite Dimensional Hilbert Spaces and Linear Inverse Problems
... 3. The solution x does not depend sensitively on the value of y. 15 I.e., we demand that A be numerically well-conditioned. If any of these three conditions is violated we say that the inverse problem is ...
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An approximate inverse to the extended Born modeling operator
... this operator is negligibly more computationally intensive than extended RTM; however, extended RTM is consider- ably more expensive than ordinary RTM: The additional expense comes in the sums over offset implicit ...
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A RAINBOW INVERSE PROBLEM. ESAIM:
... unidimensional curve called the reflectance spectrum, which is the relative energy given back by the object for each wavelength of the visible range, when it is enlighted with a white ...the inverse ...
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OPERATOR ON HILBERT SPACE
... f (n) (0) n! T n , which converges in the norm topology [4]. Definition 1.2. Let H be a Hilbert space and T be an operator on H such that T 6= ∅ and kT k < 1. Let α, β be real numbers such that 0 ≤ α ...
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On Inverse Hilbert Type Inequalities
... Correspondence should be addressed to Zhao Changjian, [email protected] Received 14 November 2007; Revised 1 December 2007; Accepted 4 December 2007 Recommended by Martin J. Bohner This paper deals with new ...
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Adjoint Operator in Probabilistic Hilbert Space
... Our main purpose of this paper is how to give the definition for the adjoint operator in Probabilistic Hilbert Space and some of its properties by using the R[r] ...
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Direct and inverse results in variable Hilbert scales
... In contrast to the classical approximation theory here we do not deal with the approximation of smooth functions, and we use related concepts of smoothness assigned to elements in Hilbert space. As already ...
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