• New semilocal and local convergence analysis for the Secant method 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Applied Mathematics and Computation, 06/2015)
      We present a new convergence analysis, for the Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center-Lipschitz instead of just Lipschitz ...