Iterative solutions for ∑iai/λ-ci=1 equations

C.F. Leibovici (1) , Dan Vladimir Nichita (2)

1 CFL Consultant
2 TEFC - Thermodynamique et Energétique des fluides complexes

Two new methods are proposed for solving equations of the form F(λ)=∑i=1n(ai/(λ-ci))-1=0. Both of them are simple, easy to implement, robust and reveal a super-quadratic convergence.

Mots clés: Change of variables; Convergence; Equation; Iteration; Solution

Domaines: Chimie-Physique [physics.chem-ph]

C.F. Leibovici, Dan Vladimir Nichita. Iterative solutions for ∑iai/λ-ci=1 equations. Chemical Engineering Research and Design, 2010, 88 (5-6), pp.602-605. ⟨hal-00683366⟩