New Aspects of Double Bounded Polynomial Homotopy
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
*Author to whom correspondence should be addressed.
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.
Keywords: Homotopy continuation methods, multiple operating points