Two-step secant type method with approximation of the inverse operator | Zendy

Stepan Shakhno | Zendy; Halyna Yarmola | Zendy

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Two-step secant type method with approximation of the inverse operator

Author(s) -

Stepan Shakhno,

Halyna Yarmola

Publication year - 2013

Publication title -

carpathian mathematical publications

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.

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