Using Vector Divisions in Solving Nonlinear Systems of Equations

نویسنده

  • Yixun Shi
چکیده

Abstract With the motivation of avoiding the computation of the inverse of Jacobian matrix, which is involved in Newton’s method, we consider the use of vector divisions in solving a nonlinear system of equations F (x) = 0. Vector divisions are applied to form the secant method formulas. Based on that, a globally convergent hybrid algorithm for solving the nonlinear system of equations is proposed in this paper.

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تاریخ انتشار 2008