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Fast Computation of Common Left Multiples of Linear Ordinary Differential Operators
Algorithms complexity linear differential operators common left multiples
2013/9/3
We study tight bounds and fast algorithms for LCLMs of several linear differential operators with polynomial coefficients. We analyse the arithmetic complexity of existing algorithms for LCLMs, as wel...
The Non-linear Dynamics of Sociological Reflections
Non-linear Dynamics Sociological Reflections
2010/4/2
Actors are embedded in networks of communication: the relations of the actors can be represented as the rows of a matrix, while the column vectors represent their communications. The two systems are s...
Accounting for risk of non linear portfolios: a novel Fourier approach
non linear portfolios novel Fourier approach
2010/4/27
The presence of non linear instruments is responsible for the emergence of non Gaussian features in the price changes distribution of realistic portfolios, even for Normally distributed risk factors. ...
Testing Linear Dependence of Hyperexponential Elements
Testing Linear Dependence Hyperexponential Elements
2013/9/3
A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential(resp. difference) field over constants. We generalize this criterion for invertible hyperexpo...
In this article, for the purpose of expanding to the mappings between Banach manifolds, a degree is determined in for the mappings between Banach spaces, which are from the obvious class.
On a Certain Family of Linear Positive Operators
Linear Positive Operators inear positive operatorsl approximation properties
2010/3/5
In this study, a family of linear positive operators, which includes the sequence of linear positive operators built in a paper of A. D. Gadjiev and I. I. Ibragimov and later investigated by B. Wood a...