An Introduction to Pseudo-Linear Algebra

نویسندگان

  • Manuel Bronstein
  • Marko Petkovsek
چکیده

Pseudo-linear algebra is the study of common properties of linear differential and difference operators. We introduce in this paper its basic objects (pseudo-derivations, skew polynomials, and pseudo-linear operators) and describe several recent algorithms on them, which, when applied in the differential and difference cases, yield algorithms for uncoupling and solving systems of linear differential and difference equations in closed form.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 157  شماره 

صفحات  -

تاریخ انتشار 1996