Rosenkranz, Markus,
Buchberger, Bruno,
Engl, Heinz W.
(2003)
*
Solving linear boundary value problems via non-commutative Groebner bases.
*
Applicable Analysis,
82
(7).
pp. 655-675.
ISSN 0003-6811.
(doi:10.1080/0003681031000118981)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:29978)

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Official URL http://dx.doi.org/10.1080/0003681031000118981 |

## Abstract

A new approach for symbolically solving linear boundary

for obtaining parametrized solutions of the underlying ODE and fitting

expensive), the problem is interpreted as an operator inversion

oblique Moore-Penrose inverse, it is possible to transform the

attacked by virtue of non-commutative Groebner bases. The resulting

the classical Green's function as its kernel. Although, at this stage

method and its domain of admissible inputs, we do believe that it has

perspectives are discussed.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1080/0003681031000118981 |

Uncontrolled keywords: | Linear boundary value problems, Green's function, Moore-Penrose equations, symbolic solution |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Markus Rosenkranz |

Date Deposited: | 27 Jul 2012 18:00 UTC |

Last Modified: | 16 Feb 2021 12:40 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/29978 (The current URI for this page, for reference purposes) |

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