Factorized quasi-Newton methods for nonlinear least squares problems. - Hiroshi Yabe; Toshihiko Takahashi (Math. Program., 1991)

Convergence of a Factorized Broyden-Like Family for Nonlinear Least Squares Problems. - Hiroshi Yabe; Naokazu Yamaki (SIAM J. Optim., 1995)

Superlinear and quadratic convergence of some primal-dual interior point methods for constrained optimization. - Hiroshi Yamashita; Hiroshi Yabe (Math. Program., 1996)

Quadratic and Superlinear Convergence of the Huschens Method for Nonlinear Least Squares Problems. - Hiroshi Yabe; Hideho Ogasawara (Comput. Optim. Appl., 1998)

An Interior Point Method with a Primal-Dual Quadratic Barrier Penalty Function for Nonlinear Optimization. - Hiroshi Yamashita; Hiroshi Yabe (SIAM J. Optim., 2003)

Global Convergence Properties of Nonlinear Conjugate Gradient Methods with Modified Secant Condition. - Hiroshi Yabe; Masahiro Takano (Comput. Optim. Appl., 2004)

On Sizing and Shifting the BFGS Update within the Sized-Broyden Family of Secant Updates. - Hiroshi Yabe; Héctor J. Martínez; Richard A. Tapia (SIAM J. Optim., 2004)

Quadratic Convergence of a Primal-Dual Interior Point Method for Degenerate Nonlinear Optimization Problems. - Hiroshi Yamashita; Hiroshi Yabe (Comput. Optim. Appl., 2005)

A globally and superlinearly convergent primal-dual interior point trust region method for large scale constrained optimization. - Hiroshi Yamashita; Hiroshi Yabe; Takahito Tanabe (Math. Program., 2005)

Global Convergence of a Memory Gradient Method for Unconstrained Optimization. - Yasushi Narushima; Hiroshi Yabe (Comput. Optim. Appl., 2006)

Multi-step nonlinear conjugate gradient methods for unconstrained minimization. - John A. Ford; Yasushi Narushima; Hiroshi Yabe (Comput. Optim. Appl., 2008)

Development of Pneumatic Servo Bearing Actuator for Nanometer Positioning. - Masato Kadotani; Takakazu Kitagawa; Satoshi Katto; Tomoko Hirayama; Takashi Matsuoka; Hiroshi Yabe; Katsumi Sasaki (Int. J. Autom. Technol., 2009)

A primal-dual interior point method for nonlinear optimization over second-order cones. - Hiroshi Yamashita; Hiroshi Yabe (Optim. Methods Softw., 2009)

Nonlinear conjugate gradient methods with structured secant condition for nonlinear least squares problems. - Michiya Kobayashi; Yasushi Narushima; Hiroshi Yabe (J. Comput. Appl. Math., 2010)

A Three-Term Conjugate Gradient Method with Sufficient Descent Property for Unconstrained Optimization. - Yasushi Narushima; Hiroshi Yabe; John A. Ford (SIAM J. Optim., 2011)

Conjugate gradient methods based on secant conditions that generate descent search directions for unconstrained optimization. - Yasushi Narushima; Hiroshi Yabe (J. Comput. Appl. Math., 2012)

Globally Convergent Three-Term Conjugate Gradient Methods that Use Secant Conditions and Generate Descent Search Directions for Unconstrained Optimization. - Kaori Sugiki; Yasushi Narushima; Hiroshi Yabe (J. Optim. Theory Appl., 2012)

Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming. - Hiroshi Yamashita; Hiroshi Yabe (Math. Program., 2012)

A primal-dual interior point method for nonlinear semidefinite programming. - Hiroshi Yamashita; Hiroshi Yabe; Kouhei Harada (Math. Program., 2012)

A family of three-term conjugate gradient methods with sufficient descent property for unconstrained optimization. - Mehiddin Al-Baali; Yasushi Narushima; Hiroshi Yabe (Comput. Optim. Appl., 2015)

An interior point method with a primal-dual quadratic barrier penalty function for nonlinear semidefinite programming. - Atsushi Kato; Hiroshi Yabe; Hiroshi Yamashita (J. Comput. Appl. Math., 2015)

Descent three-term conjugate gradient methods based on secant conditions for unconstrained optimization. - Hiroshi Kobayashi; Yasushi Narushima; Hiroshi Yabe (Optim. Methods Softw., 2017)

Inexact proximal memoryless quasi-Newton methods based on the Broyden family for minimizing composite functions. - Shummin Nakayama; Yasushi Narushima; Hiroshi Yabe (Comput. Optim. Appl., 2021)

A primal-dual interior point trust-region method for nonlinear semidefinite programming. - Hiroshi Yamashita; Hiroshi Yabe; Kouhei Harada (Optim. Methods Softw., 2021)

Memoryless Quasi-Newton Methods Based on the Spectral-Scaling Broyden Family for Riemannian Optimization. - Yasushi Narushima; Shummin Nakayama; Masashi Takemura; Hiroshi Yabe (J. Optim. Theory Appl., 2023)

Inexact proximal DC Newton-type method for nonconvex composite functions. - Shummin Nakayama; Yasushi Narushima; Hiroshi Yabe (Comput. Optim. Appl., 2024)