2026-03-09T02:51:37Z https://fukuyama-u.repo.nii.ac.jp/oai

oai:fukuyama-u.repo.nii.ac.jp:00008111 2023-06-19T10:29:54Z 502:505:675:710

非線形関数における最急降下法の振る舞い Behavior of the Steepest Descent Method in Minimizing Nonlinear Function 尾関, 孝史 43486 最急降下法 非線型関数 反復法 収束 Steepest Descent Method Nonlinear Function Iterative Method Convergence 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. departmental bulletin paper 2002-12 application/pdf 福山大学工学部紀要 26 113 123 AN00217655 https://fukuyama-u.repo.nii.ac.jp/record/8111/files/KJ00005781496.pdf https://fukuyama-u.repo.nii.ac.jp/records/8111 jpn