Construction of a fundamental matrix solution at a singular point of the first kind by means of the SN decomposition of matrices (Q1913646)
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scientific article; zbMATH DE number 881687
| Language | Label | Description | Also known as |
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| English | Construction of a fundamental matrix solution at a singular point of the first kind by means of the SN decomposition of matrices |
scientific article; zbMATH DE number 881687 |
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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 (English)
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26 November 1996
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The SN-decomposition with a computer is derived (SN denotes the decomposition for any matrix into a diagonalizable part and a nilpotent part). Generalizing the SN decomposition to particular matrices of infinite order, the authors explain the 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 (Version 2.2).
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fundamental matrix solution
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singular point
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SN decomposition of matrices
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numerical examples
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system of linear meromorphic ordinary differential equations
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normal form
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