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

  • S.M. Shakhno Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • H.P. Yarmola Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
Keywords: approximation of the inverse operator, secant type method, convergence order
Published online: 2013-06-21

Abstract


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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How to Cite
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ShakhnoS.; YarmolaH. Two-Step Secant Type Method With Approximation of the Inverse Operator. Carpathian Math. Publ. 2013, 5, 150-155.