Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings

Barkatou, Moulay A.; Jaroschek, Maximilian; Maddah, Suzy S.

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Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings

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Jaroschek, Maximilian
Automation of Logic, MPI for Informatics, Max Planck Society;

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arXiv:1511.00180.pdf
(プレプリント), 281KB

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引用

Barkatou, M. A., Jaroschek, M., & Maddah, S. S. (2015). Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings. Retrieved from http://arxiv.org/abs/1511.00180.

引用: https://hdl.handle.net/11858/00-001M-0000-0029-6635-6

要旨

In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in several variables. This algorithm is a generalization of a method developed for the bivariate case based on a combination of several reduction techniques and is implemented in the computer algebra system Maple.