The Experts below are selected from a list of 9627 Experts worldwide ranked by ideXlab platform
M. A. Barkatou - One of the best experts on this subject based on the ideXlab platform.
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computing the exponential part of a formal Fundamental Matrix Solution of a linear difference system
Journal of Difference Equations and Applications, 1999Co-Authors: M. A. Barkatou, Guoting ChenAbstract:In this paper we prove a reducibility theorem for a system of linear difference equations and we give an algorithm for an effective reduction. We then prove a new result concerning the Katz invariant for a certain class of linear difference systems. The results lead to an algorithm for an effective computation (in a finite number of steps) of the exponential part in a formal Fundamental Matrix Solution. The algorithm is imolementable in a Computer Algebra system
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An algorithm to compute the exponential part of a formal Fundamental Matrix Solution of a linear differential system
Applicable Algebra in Engineering Communication and Computing, 1997Co-Authors: M. A. BarkatouAbstract:In this paper we describe an efficient algorithm, fully implemented in the Maple computer algebra system, that computes the exponential part of a formal Fundamental Matrix Solution of a linear differential system having a singularity of pole type at the origin.
Guoting Chen - One of the best experts on this subject based on the ideXlab platform.
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computing the exponential part of a formal Fundamental Matrix Solution of a linear difference system
Journal of Difference Equations and Applications, 1999Co-Authors: M. A. Barkatou, Guoting ChenAbstract:In this paper we prove a reducibility theorem for a system of linear difference equations and we give an algorithm for an effective reduction. We then prove a new result concerning the Katz invariant for a certain class of linear difference systems. The results lead to an algorithm for an effective computation (in a finite number of steps) of the exponential part in a formal Fundamental Matrix Solution. The algorithm is imolementable in a Computer Algebra system
Yasutaka Sibuya - One of the best experts on this subject based on the ideXlab platform.
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construction of a Fundamental Matrix Solution at a singular point of the first kind by means of the sn decomposition of matrices
Linear Algebra and its Applications, 1996Co-Authors: Pofang Hsieh, Mitsuhiko Kohno, Yasutaka SibuyaAbstract:Abstract It is known that any Matrix can be decomposed into a diagonalizable part and a nilpotent part. We call this the SN decomposition. We can derive the SN decomposition quite easily with a computer. Generalizing the SN decomposition to particular matrices of infinite order, we explain basic steps of construction of a linear transformation which reduces a given system of linear meromorphic ordinary differential equations to a normal form at a singular point of the first kind. Some examples are given utilizing Mathematica. We also show that the same idea produces a block-diagonalization of a given system at a singular point of the second kind.
Pofang Hsieh - One of the best experts on this subject based on the ideXlab platform.
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construction of a Fundamental Matrix Solution at a singular point of the first kind by means of the sn decomposition of matrices
Linear Algebra and its Applications, 1996Co-Authors: Pofang Hsieh, Mitsuhiko Kohno, Yasutaka SibuyaAbstract:Abstract It is known that any Matrix can be decomposed into a diagonalizable part and a nilpotent part. We call this the SN decomposition. We can derive the SN decomposition quite easily with a computer. Generalizing the SN decomposition to particular matrices of infinite order, we explain basic steps of construction of a linear transformation which reduces a given system of linear meromorphic ordinary differential equations to a normal form at a singular point of the first kind. Some examples are given utilizing Mathematica. We also show that the same idea produces a block-diagonalization of a given system at a singular point of the second kind.
Luciano Lopez - One of the best experts on this subject based on the ideXlab platform.
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Fundamental Matrix Solutions of piecewise smooth differential systems
Mathematics and Computers in Simulation, 2011Co-Authors: Luca Dieci, Luciano LopezAbstract:Abstract: We consider the Fundamental Matrix Solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as Solution trajectories reach one or more surfaces. We review the cases of transversal intersection and of sliding motion on one surface. We also consider the case when sliding motion takes place on the intersection of two or more surfaces. Numerical results are also given.
