Application of a Modified Generalized Regression Neural Networks Algorithm in Economics and Finance [PDF]
, 2011 In this paper we propose an alternative and modified Generalized Regression Neural Networks Autoregressive model (GRNN-AR) in S&P 500 and FTSE 100 index returns, as also in Gross domestic product growth rate of Italy, USA and UK. We compare the forecasts
Giovanis, Eleftherios
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Sheaves of nonlinear generalized functions and manifold-valued distributions
, 2009 This paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space G[X,Y] of Colombeau generalized functions defined on a manifold X and taking values in a manifold Y. This space is essential in order
Steinbauer, Roland +5 more
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Differentiable generalized inverses
, 1968 Necessary and sufficient conditions are given for a differentiable matrix to have a differentiable generalized inverse. It is shown that when these conditions are met there exist, for several classes of generalized inverses, a differentiable generalized ...
Hearon, John Z.; Evans, John W.
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An experimental search and new combinatorial designs via a generalisation of cyclotomy
, 1998 Cyclotomy can be used to construct a variety of combinatorial designs, for example, supplementary difference sets, weighing matrices and T -matrices. These designs may be obtained by using linear combinations of the incidence matrices of the cyclotomic ...
Marc Gysin (20284272) +1 more
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Computation of Generalized Inverses of Periodic Systems [PDF]
, 2004 We address the numerically reliable computation of generalized inverses of periodic systems. The underlying inverses are defined via the corresponding lifted repesentations.
A. Varga, Varga, Andras
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Finite Fourier Series and Cyclotomy. [PDF]
Proc Natl Acad Sci U S A, 1951 Whiteman AL.
europepmc +1 more source
A Summary of New Results Concerning the Solutions of Equations in Finite Fields. [PDF]
Proc Natl Acad Sci U S A, 1951 Faircloth OB.
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Cyclotomy, Hadamard arrays and supplementary difference sets
, 1972 A 4n x 4n Hadamard array, H, is a square matrix of order 4n with elements ± A, ± B, ± C, ± D each repeated n times in each row and column. Assuming the indeterminates A, B, C, D commute, the row vectors of H must be orthogonal.
Jennifer Seberry (19583125) +1 more
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Computing Generalized Inverse Systems using Matrix Pencil Methods [PDF]
, 2001 We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse.
Varga, A., Varga, Andras
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On Cyclotomy and Extensions of Gaussian Type Quadratic Relations Involving Numbers of Solutions of Conditional Equations in Finite Fields. [PDF]
Proc Natl Acad Sci U S A, 1952 Vandiver HS.
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