Convolution operators and the discrete Laplacian [PDF]
, 2009 PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
, 2004 Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
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Nonlinear input-normal realizations based on the differential eigenstructure of hankel operators [PDF]
, 2005 This paper investigates the differential eigenstructure of Hankel operators for nonlinear systems. First, it is proven that the variational system and the Hamiltonian extension with extended input and output spaces can be interpreted as the Gâteaux ...
Fujimoto, K., +3 more
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Choquet integrals, Hausdorff content and fractional operators [PDF]
, 2023 It is shown that the fractional integral operator $I_α ...
Tanaka, Hitoshi +3 more
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Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis [PDF]
, 2004 This paper discusses balanced realization and model order reduction for both continuous-time and discrete-time general nonlinear systems based on singular value analysis of the corresponding Hankel operators.
Fujimoto, Kenji +6 more
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Volterra-Choquet nonlinear operators
, 2020 In this paper we study to what extent properties of the classical linear Volterra operators can be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the ...
Gal, Sorin G.
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Convergence of sequential and asynchronous nonlinear paracontractions [PDF]
, 1992 Elsner L, Koltracht I, Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik. 1992;62(1):305-319.We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting
Elsner, Ludwig +2 more
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On non-monotonic Choquet integrals as aggregation functions [PDF]
This paper deals with non-monotonic Choquet integral, a generalization of the regular Choquet integral. The discrete non-monotonic Choquet integral is considered under the viewpoint of aggregation.
Silvio Giove, Marta Cardin
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Modelling fraud detection by attack trees and Choquet integral [PDF]
Modelling an attack tree is basically a matter of associating a logical ÒndÓand a logical ÒrÓ but in most of real world applications related to fraud management the Ònd/orÓlogic is not adequate to effectively represent the relationship between a parent ...
Silvio Giove +2 more
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Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process [PDF]
We propose to extend the aggregation scheme of Saaty’s AHP, from the stan- dard weighted averaging to the more general Choquet integration. In our model, a measure of inconsistency between criteria is derived from the main pairwise comparison matrix and ...
Ricardo Alberto Marques Pereira +1 more
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