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Relevant bibliographies by topics / Hurwitz problem

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Journal articles

Academic literature on the topic 'Hurwitz problem'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "Hurwitz problem"

1

Litvin, I. N., and Yu E. Boreisha. "Stochastic Routh-Hurwitz problem." Cybernetics and Systems Analysis 27, no. 4 (1992): 527–34. http://dx.doi.org/10.1007/bf01130362.

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2

Anghel, Nicolae. "Clifford matrices and a problem of hurwitz." Linear and Multilinear Algebra 47, no. 2 (2000): 105–17. http://dx.doi.org/10.1080/03081080008818636.

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3

Lambert, D., and A. Ronveaux. "Towards new solutions for the general Hurwitz problem." Journal of Physics A: Mathematical and General 26, no. 18 (1993): L945—L948. http://dx.doi.org/10.1088/0305-4470/26/18/011.

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4

PAKOVICH, F. "SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS." Journal of Knot Theory and Its Ramifications 18, no. 02 (2009): 271–302. http://dx.doi.org/10.1142/s0218216509006896.

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We investigate the following existence problem for rational functions: for a given collection Π of partitions of a number n to define whether there exists a rational function f of degree n for which Π is the branch datum. An important particular case when the answer is known is the one when the collection Π contains a partition consisting of a single element (in this case, the corresponding rational function is equivalent to a polynomial). In this paper, we provide a solution in the case when Π contains a partition consisting of two elements.

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5

Lambert, Dominique, and André Ronveaux. "Hurwitz problem, harmonic morphisms and generalized Hadamard matrices." Journal of Computational and Applied Mathematics 54, no. 3 (1994): 273–83. http://dx.doi.org/10.1016/0377-0427(94)90250-x.

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6

Brewis, Louis Hugo, and Stefan Wewers. "Artin characters, Hurwitz trees and the lifting problem." Mathematische Annalen 345, no. 3 (2009): 711–30. http://dx.doi.org/10.1007/s00208-009-0374-0.

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7

Long, D. D., and Morwen B. Thistlethwaite. "Lenstra–Hurwitz cliques and the class number one problem." Journal of Number Theory 162 (May 2016): 564–77. http://dx.doi.org/10.1016/j.jnt.2015.11.002.

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8

Korotkin, D., and V. Shramchenko. "Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities." Journal für die reine und angewandte Mathematik (Crelles Journal) 2011, no. 661 (2011): 125–87. http://dx.doi.org/10.1515/crelle.2011.084.

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9

Lenzhen, Anna, Sophie Morier-Genoud, and Valentin Ovsienko. "New solutions to the Hurwitz problem on square identities." Journal of Pure and Applied Algebra 215, no. 12 (2011): 2903–11. http://dx.doi.org/10.1016/j.jpaa.2011.04.011.

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10

Zahreddine, Ziad. "On the interlacing property and the Routh-Hurwitz criterion." International Journal of Mathematics and Mathematical Sciences 2003, no. 12 (2003): 727–37. http://dx.doi.org/10.1155/s0161171203205287.

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Unlike the Nyquist criterion, root locus, and many other stability criteria, the well-known Routh-Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the mathematical community. In this paper, we address this problem and provide a simple proof of the Routh-Hurwitz criterion based on two generalizations of an interesting property known in stability theory as the interlacing property. Within the same conte

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