| Published Papers |
| No. | Ｔitle | Journal | Vol | No | Start Page | End Page | Publication date | DOI | Referee |
| 1 | Mixed-precision conjugate gradient algorithm using the groupwise update strategy  | Japan Journal of Industrial and Applied Mathematics | | | | | Feb. 6, 2024 | https://doi.org/10.1007/s13160-024-00644-81 | Refereed |
| 2 | Global GPBiCGstab(L) method for solving linear matrix equations | Numerical Algorithms | 93 | 1 | 295 | 319 | May. 2023 | https://doi.org/10.1007/s11075-022-01415-71 | Refereed |
| 3 | Cross-Interactive Residual Smoothing for Global and Block Lanczos-Type Solvers for Linear Systems with Multiple Right-Hand Sides | SIAM Journal on Matrix Analysis and Applications | 43 | 3 | 1308 | 1330 | Sep. 2022 | https://doi.org/10.1137/21m14367741 | Refereed |
| 4 | Advances in the hybrid Bi-CG methods for linear systems | Bulletin of the Japan Society for Industrial and Applied Mathematics | 30 | 3 | 16 | 23 | Sep. 2020 | https://doi.org/10.11540/bjsiam.30.3_161 | Refereed |
| 5 | GPBi‐CGstab(L): A Lanczos‐type product method unifying Bi‐CGstab(L) and GPBi‐CG | Numerical Linear Algebra with Applications | 27 | 3 | e2298 | | May. 2020 | https://doi.org/10.1002/nla.22981 | Refereed |
| 6 | Variants of residual smoothing with a small residual gap | BIT Numerical Mathematics | 59 | 3 | 565 | 584 | Sep. 1, 2019 | https://doi.org/10.1007/s10543-019-00751-w1 | Refereed |
| 7 | Cholesky QR-based retraction on the generalized Stiefel manifold | Computational Optimization and Applications | 72 | 2 | 293 | 308 | Mar. 15, 2019 | https://doi.org/10.1007/s10589-018-0046-71 | Refereed |
| 8 | Riemannian Newton’s Method on the Grassmann Manifold Exploiting the Quotient Structure | 日本応用数理学会論文誌(Web) | 28 | 4 | 205 | 241 | Dec. 2018 | https://doi.org/10.11540/jsiamt.28.4_2051 | Refereed |
| 9 | Reconsideration of Residual Smoothing Technique for Improving the Accuracy of Approximate Solutions of CGS-type Iterative Methods | | 28 | 1 | 18 | 38 | Mar. 2018 | https://doi.org/10.11540/jsiamt.28.1_181 | Refereed |
| 10 | Studies on a Stopping Rule of the LSQR Method for Solving Ill-conditioned Least-Squares Problems with Noisy Data | 電子情報通信学会論文誌 A(Web) | J101-A | 1 | 15 | 19 | Jan. 1, 2018 | | Refereed |
| 11 | A matrix-free implementation of Riemannian Newton's method on the Stiefel manifold | OPTIMIZATION LETTERS | 11 | 8 | 1729 | 1741 | Dec. 2017 | https://doi.org/10.1007/s11590-016-1090-91 | Refereed |
| 12 | Variants of the groupwise update strategy for short-recurrence Krylov subspace methods | NUMERICAL ALGORITHMS | 75 | 2 | 397 | 412 | Jun. 2017 | https://doi.org/10.1007/s11075-016-0183-y1 | Refereed |
| 13 | A Regularization Method for Solving Ill-Conditioned Problems by a Matrix Bidiagonalization | 電子情報通信学会論文誌 A(Web) | J100-A | 1 | 92 | 101 | Jan. 1, 2017 | | Refereed |
| 14 | Preconditioned IDRStab algorithms for solving nonsymmetric linear systems | IAENG International Journal of Applied Mathematics | 45 | | 164 | 174 | Jan. 1, 2015 | | Refereed |
| 15 | A quasi-minimal residual variant of IDRstab using the residual smoothing technique | APPLIED MATHEMATICS AND COMPUTATION | 236 | | 67 | 77 | Jun. 2014 | https://doi.org/10.1016/j.amc.2014.03.0341 | Refereed |
| 16 | A variant of IDRstab with reliable update strategies for solving sparse linear systems | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 259 | | 244 | 258 | Mar. 2014 | https://doi.org/10.1016/j.cam.2013.08.0281 | Refereed |
| 17 | Product-type Methods with an Alternative Computation of the BiCR Coefficients | Transactions of the Japan Society for Industrial and Applied Mathematics | 23 | 3 | 417 | 437 | Sep. 2013 | https://doi.org/10.11540/jsiamt.23.3_4171 | Refereed |
| 18 | An alternative implementation of the IDRstab method saving vector updates | JSIAM Letters | 3 | | 69 | 72 | Oct. 2011 | https://doi.org/10.14495/jsiaml.3.691 | Refereed |
| 19 | A strategy of reducing the inner iteration counts for the variable preconditioned GCR(m) method | JSIAM Letters | 2 | | 77 | 80 | Aug. 2010 | https://doi.org/10.14495/jsiaml.2.771 | Refereed |
| MISC |
| No. | Ｔitle | Journal | Vol | No | Start Page | End Page | Publication date |
| 1 | Reducing the residual gap in short-recurrence Krylov subspace methods | 数理解析研究所講究録 | | 2094 | 112 | 121 | Nov. 2018 |
| 2 | Computation of eigenvectors for a specially structured banded matrix | Lecture Notes in Computational Science and Engineering | 117 | | 143 | 155 | Oct. 2017 |
| 3 | An Implementation of IDRstab with Biorthogonality Relations for Solving Linear Systems | PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 1648 | | | | Apr. 2015 |
| 4 | Hybrid BiCR Methods with a Stabilization Strategy for Solving Linear Equations | PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 1648 | | | | Apr. 2015 |
| 5 | Numerical study for IDRstab with reliable update strategies to remedy the residual gap | RIMS Kokyuroku | 1848 | 1848 | 187 | 201 | Aug. 2013 |
| 6 | A variant of the IDRstab method for improving the accuracy of approximate solutions | RIMS Kokyuroku | 1791 | 1791 | 11 | 20 | Apr. 2012 |
