Optimal homotopy methods for solving nonlinear systems. I: Nonsingular homotopy paths
The authors prove that in solving systems of nonlinear equations, a homotopy with a given structure has a distance monotone path under some regular conditions. The so-called local straighten-up method and global straighten-up method, as well as an adaptive step-size control strategy, are developed to approximate the optimal homotopy.
scientific article; zbMATH DE number 569172
scientific article