New Aspects of Double Bounded Polynomial Homotopy

H. Vazquez-Leal; A. Sarmiento-Reyes; Y. Khan; A. Yıldırım; U. Filobello-Nino; R. Castaneda-Sheissa; A.L. Herrera-May; V.M. Jimenez-Fernandez; S.F. Hernandez-Machuca; L. Cuellar-Hernandez

doi:10.9734/BJMCS/2013/2266

Research Article Open access CC BY 2.0

New Aspects of Double Bounded Polynomial Homotopy

H. Vazquez-Leal, A. Sarmiento-Reyes, Y. Khan, A. Yıldırım, U. Filobello-Nino, R. Castaneda-Sheissa, A.L. Herrera-May, V.M. Jimenez-Fernandez, S.F. Hernandez-Machuca, L. Cuellar-Hernandez

Journal of Advances in Mathematics and Computer Science · pp. 549–566 · Published 24 Jun 2013

10.9734/BJMCS/2013/2266

Abstract

This work presents some new aspects about the mathematical properties of the double bounded polynomial homotopy like: isolated symmetry branches equation and a study about initial and final points of the path and curvature radius. The application of the homotopy is illustrated by solving a mathematical problem and a nonlinear circuit.

Homotopy continuation methods multiple operating points

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H. Vazquez-Leal, A. Sarmiento-Reyes, Y. Khan, A. Yıldırım, U. Filobello-Nino, R. Castaneda-Sheissa, A.L. Herrera-May, V.M. Jimenez-Fernandez, S.F. Hernandez-Machuca, L. Cuellar-Hernandez (2013). New Aspects of Double Bounded Polynomial Homotopy. Journal of Advances in Mathematics and Computer Science , 549–566. https://doi.org/10.9734/BJMCS/2013/2266

Affiliations

H. Vazquez-Leal — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México
A. Sarmiento-Reyes — Electronics Department, National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico
Y. Khan — Department of Mathematics, Zhejiang University, Hangzhou 310027, China
A. Yıldırım — 4146 Sk. No: 16, Zeytinalani Mah. Urla- Izmir, Turkey
U. Filobello-Nino — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México
R. Castaneda-Sheissa — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México
A.L. Herrera-May — Micro and Nanotechnology Research Center, University of Veracruz, Boca del Rio, Veracruz, Mexico
V.M. Jimenez-Fernandez — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México
S.F. Hernandez-Machuca — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México
L. Cuellar-Hernandez — Electronic Instrumentation School and Atmospheric Sciences School, University of Veracruz, Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Veracruz, México

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