Open AccessTwo-step secant type method with approximation of the inverse operator
Author(s) -
Stepan Shakhno,
Halyna Yarmola
Publication year - 2013
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.5.1.150-155
Subject(s) - mathematics , operator (biology) , secant method , convergence (economics) , inverse , type (biology) , quadratic equation , operator splitting , nonlinear system , mathematical analysis , inverse problem , newton's method , geometry , ecology , biochemistry , chemistry , physics , repressor , quantum mechanics , biology , transcription factor , economics , gene , economic growth
The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established. A numerical experiment is made on the test problems.