We provide convergence results and error estimates for the secant method in generalized Banach spaces. The idea of a generalized norm is used, which is defined to be a map from a linear space into a partially ordered Banach space. Convergence results and error estimates are improved over the real norm theory. © 1990.
Argyros, I. K. (1990). The secant method in generalized Banach spaces. Applied Mathematics and Computation, 39(2), 111–121. https://doi.org/10.1016/0096-3003(90)90026-Y