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Based on these conventional transformation operators Φ and Ψ, a general form Ω of the transformation operator is proposed to represent different kinds of transformation operators.
This multilevel analysis is used to optimize the coefficients in the semi-implicit Runge Kutta smoother, such that the spectral radius of the multigrid error transformation operator is minimal under properly chosen constraints.
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In these papers, solution of inverse scattering problem on the half-line by using the transformation operator was reduced to solution of two inverse problems on the intervals and.
To this end, a suite of basic transformation operators is designed.
The transformation operators are combinations of the Laplace transform operator and additional integral operators.
For this aim the Gelfand-Levitan integral equation and transformation operators were used in [6].
As shown in Fig. 3, the gathering, selection, preprocessing, and transformation operators are in the input part.
Next, three new random transformation operators are proposed, which include the random combination of transformation operators in the data dimension, in the attribute dimension, and in both dimensions respectively.
(2) From the point of view of the scattering problem, the most natural class of CMV matrices is that one in which (a) the scattering data determine the matrix uniquely and (b) the associated Gelfand Levitan Marchenko transformation operators are bounded.
where is the Fourier transformation operator and is the th-order eigenvalue.
In [15], the relation between the Bessel wavelet transformation and the Hankel-Hausdorff operator is discussed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com