On computing residue integrals for a class of nonlinear transcendental systems

А. А. Кытманов, А. М. Кытманов, Е. К. Myshkina

Type: Article

Publication Date: 2019-05-30

Citations: 0

DOI: https://doi.org/10.1145/3338637.3338644

Abstract

A method of computing residue integrals with integration over certain cycles for systems of transcendental equations is presented. Such integrals are connected to the power sums of roots for a certain system of equations. The described approach can be used for developing methods for the elimination of unknowns from transcendental systems.

Locations

ACM communications in computer algebra - View
SibFU Digital Repository (Siberian Federal University) - View - PDF

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Works That Cite This (0)

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Works Cited by This (6)

Action	Title	Year	Authors
+	Multidimensional Residues and Their Applications	1992	A. K. Tsikh
+	Power sums of nonlinear systems of equations	2007	В. И. Быков А. М. Кытманов S. G. Myslivets
+	Finding residue integrals for systems of non-algebraic equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2014	А. А. Кытманов А. М. Кытманов Е. К. Myshkina
+	Greobner Bases : an algorithmic method in polynomial ideal theory	1985	Bruno Buchberger
+	Analogs of recurrent Newton formulas	2009	А. А. Кытманов
+	Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory	1985	Bruno Buchberger