A complex singular value decomposition algorithm based on the Riemannian Newton method. - Hiroyuki Sato 001; Toshihiro Iwai (CDC, 2013)

A Riemannian Optimization Approach to the Matrix Singular Value Decomposition. - Hiroyuki Sato 001; Toshihiro Iwai (SIAM J. Optim., 2013)

Riemannian conjugate gradient method for complex singular value decomposition problem. - Hiroyuki Sato 001 (CDC, 2014)

Riemannian trust-region methods for H2 optimal model reduction. - Hiroyuki Sato 001; Kazuhiro Sato (CDC, 2015)

Joint singular value decomposition algorithm based on the Riemannian trust-region method. - Hiroyuki Sato 001 (JSIAM Lett., 2015)

A New H2 optimal model reduction method based on riemannian conjugate gradient method. - Hiroyuki Sato 001; Kazuhiro Sato (CDC, 2016)

A Dai-Yuan-type Riemannian conjugate gradient method with the weak Wolfe conditions. - Hiroyuki Sato 001 (Comput. Optim. Appl., 2016)

Supervised-Topic-Model-Based Hybrid Filtering for Recommender Systems. - Mimu Kawai; Takayuki Shiohama; Hiroyuki Sato 001 (ACIT/CSII/BCD, 2017)

Riemannian Optimal System Identification Algorithm for Linear MIMO Systems. - Hiroyuki Sato 001; Kazuhiro Sato (IEEE Control. Syst. Lett., 2017)

A matrix-free implementation of Riemannian Newton's method on the Stiefel manifold. - Kensuke Aihara; Hiroyuki Sato 001 (Optim. Lett., 2017)

Structure-Preserving H2 Optimal Model Reduction Based on the Riemannian Trust-Region Method. - Kazuhiro Sato; Hiroyuki Sato 001 (IEEE Trans. Autom. Control., 2018)

Riemannian Gradient-Based Online Identification Method for Linear Systems with Symmetric Positive-Definite Matrix. - Hiroyuki Sato 001; Kazuhiro Sato (CDC, 2019)

Cholesky QR-based retraction on the generalized Stiefel manifold. - Hiroyuki Sato 001; Kensuke Aihara (Comput. Optim. Appl., 2019)

Riemannian conjugate gradient methods with inverse retraction. - Xiaojing Zhu; Hiroyuki Sato 001 (Comput. Optim. Appl., 2020)

Riemannian Optimal Identification Method for Linear Systems With Symmetric Positive-Definite Matrix. - Kazuhiro Sato; Hiroyuki Sato 001; Tobias Damm (IEEE Trans. Autom. Control., 2020)

Cayley-transform-based gradient and conjugate gradient algorithms on Grassmann manifolds. - Xiaojing Zhu; Hiroyuki Sato 001 (Adv. Comput. Math., 2021)

Approximated logarithmic maps on Riemannian manifolds and their applications. - Jumpei Goto; Hiroyuki Sato 001 (JSIAM Lett., 2021)

Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method. - Yuya Yamakawa; Hiroyuki Sato 001 (Comput. Optim. Appl., 2022)

Topic model-based recommender systems and their applications to cold-start problems. - Mimu Kawai; Hiroyuki Sato 001; Takayuki Shiohama (Expert Syst. Appl., 2022)

Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses. - Hiroyuki Sato 001 (SIAM J. Optim., 2022)

Conjugate Gradient Methods for Optimization Problems on Symplectic Stiefel Manifold. - Mitsutaka Yamada; Hiroyuki Sato 001 (IEEE Control. Syst. Lett., 2023)

Riemannian optimization on unit sphere with p-norm and its applications. - Hiroyuki Sato 001 (Comput. Optim. Appl., 2023)

Nonlinear conjugate gradient method for vector optimization on Riemannian manifolds with retraction and vector transport. - Kangming Chen; Ellen Hidemi Fukuda; Hiroyuki Sato 001 (Appl. Math. Comput., 2025)