Local convergence analysis of tensor methods for nonlinear equations
Mathematical Programming: Series A and B - Special issue: Festschrift in Honor of Philip Wolfe part II: studies in nonlinear programming
Testing Unconstrained Optimization Software
ACM Transactions on Mathematical Software (TOMS)
An ABS algorithm for solving singular nonlinear systems with rank one defect
The Korean Journal of Computational & Applied Mathematics
An ABS algorithm for solving singular nonlinear systems with rank defects
The Korean Journal of Computational & Applied Mathematics
Hi-index | 7.29 |
A modified Brown algorithm for solving a class of singular nonlinear systems, F(x)=0, where x,F@?R^n, is presented. This method is constructed by combining the discreted Brown algorithm with the space transforming method. The second-order information of F(x) at a point is not required calculating, which is different from the tensor method and the Hoy's method. The Q-quadratic convergence of this algorithm and some numerical examples are given as well.