@article{oai:fukuyama-u.repo.nii.ac.jp:00008111, author = {尾関, 孝史}, journal = {福山大学工学部紀要}, month = {Dec}, note = {P(論文), In this paper, we discuss the limiting behavior of the search direction of the steepest descent method in minimizing general nonlinear function. It is shown that the search direction asymptotically alternates between two directions represented by linear combinations of two eigenvectors of the Hessian matrix of nonlinear function at the minimum point in almost every case. This is similar to the phenomenon in minimizing the quadratic form. However, we also show some special case which is different from the one of the quadratic form. Moreover, we give some necessary conditions in which special cases appear.}, pages = {113--123}, title = {非線形関数における最急降下法の振る舞い}, volume = {26}, year = {2002} }