ON THE DETERMINATION OF SOLUTIONS
SETS REGARDING HIGHLY NON-LINEAR
EQUATIONS SYSTEMS
Mahamat Saleh Daoussa Haggar$^1$, Benjamin Mampassi$^2$
$^1$Department of Mathematics
Faculty of Exact and Applied Sciences
N'djamena University
BP: 1027, Code Postal: 00235, CHAD
$^2$Department of Mathematics
Faculty of Science and Technology
Dakar University, BP 5005, Code Postal: 00221, SENEGAL
Abstract. This paper proposes an approach for determining solutions sets of larger scale non linear equations systems with more unknowns number than equations. The proposed approach consists in transforming the equations system into a one dimensional equation by using α-dense curves properties. Then conditions for obtaining sets that are dense in the set of solution is established. An example is provided to demonstrate merits of our proposed algorithm.
AMS Subject classification: 34A35, 35F50, 57Q55
Keywords and phrases: nonlinear equations systems, Newton method, α-dense curves


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i4.4

Volume: 28
Issue: 4
Year: 2015