Fuminori TATSUOKA, Ph.D.

• I'm interested in numerical analysis, especially computational methods for matrix functions.

• Email: f-tatsuoka[at]na.nuap.nagoya-u.ac.jp

• Github, Google Scholar

Toc of this page: CV, Publications, Talks,

CV

The CV in pdf format is available.

Education

• Doctor's degree of Engineering (Mar. 2020)
  Department of Applied Physics, Graduate School of Engineering, Nagoya University

• Master's degree of Engineering (Mar. 2018)
  Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University

• Bachelor's degree of Engineering (Mar. 2016)
  Department of Physical Science and Engineering, School of Engineering, Nagoya University

Fellowships

• Apr. 2018 - Mar. 2021
  JSPS Research Fellowship for Young Scientists (Grant No. 18J22501)

Awards

• Jun. 2020: Best Presentation Award, Japan Society for Industrial and Applied Mathematics

• Sep. 2021: 2020-2021 EASIAM Student Paper Award (2nd prize)

Research

Publications

Papers

1. Computing the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
   Electron. Trans. Numer. Ana., 54 (2021) 558–580. [arXiv] [Github Repository]

2. Algorithms for the computation of the matrix logarithm based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   J. Comput. Appl. Math., 373 (2020) 112396. [arXiv]

3. A note on computing the matrix fractional power using the double exponential formula (in Japanese)
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   Trans. Jpn. Soc. Ind. Appl. Math., 28 (2018) 142–161.

4. A cost-efficient variant of the incremental Newton iteration for the matrix pth root
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   J. Math. Res. Appl., 37 (2017) 107–118 [arXiv]

Papers (not refereed), Review article, proceedings, etc.

1. 行列対数関数のための二重指数関数型公式の収束率について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   RIMS講究録 No. 2167, RIMS共同研究（公開型）諸科学分野を結ぶ基礎学問としての数値解析学, 京都大学数理解析研究所, (2020) [Github Repository]

2. 数値積分に基づく行列実数乗の計算について (in Japanese)
   立岡文理, 曽我部知広, 張紹良
   計算数理工学レビュー, 2019-2 (2019) 45–55

Talks

International conferences & workshops

1. Computing the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
   SIAM Conference on Applied Linear Algebra (SIAM LA21),
   May 17-21 2021 (talk: May 20).

2. The double exponential formula for the matrix fractional power
   F. Tatsuoka (joint work with T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang)
   Czech-Japanese Seminar in Applied Mathematics (CJS 2021), Jan. 5-7 2020 (talk: Jan. 7)

3. Convergence analysis and a preconditioning of the double exponential formula for the matrix fractional power.
   F. Tatsuoka (joint work with T. Sogabe, T. Kemmochi, S.-L. Zhang)
   Workshop on Numerical Algebra and Scientific Computing,
   Nagoya University (Nagoya, Japan), Sep. 2 2019.

4. A scalar multiplication preconditioning of the double exponential formula for the matrix fractional power
   F. Tatsuoka (joint work with T. Sogabe, T. Kemmochi, S.-L. Zhang)
   Mini-Workshop on Computational Science,
   Dalian University of Technology (Dalian, China), Aug. 18-19 2019 (talk: Aug. 18).

5. On an interval truncation method of the double exponential formula for the matrix logarithm
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   SIAM East Asian Section Conference 2019 (EASIAM 2019),
   Wuhan University (Wuhan, China), Jun. 13-16 2019 (talk: Jun. 16).

6. A note on computing the \(p\)th root of Sinc matrices
   F. Tatsuoka, T. Okayama, S.-L. Zhang, M. Sugihara
   16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018),
   Sheraton Rhodes Resort (Rhodes, Greece), Sep. 13-18 2018 (talk: Sep. 14)

7. Computation of the matrix logarithm using the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   Numerical Analysis and Scientific Computation with Applications (NASCA 2018),
   Elite City Resort (Kalamata, Greece), Jul. 2-5 2018 (talk: Jul. 5).

8. Computation of the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   SIAM East Asian Section Conference 2018 (EASIAM 2018),
   The University of Tokyo (Bunkyo, Tokyo), Jun. 22-25 2018 (talk: Jun. 24).

9. A fast and stable variant of incremental Newton iteration for the matrix \(p\)th root
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang,
   SIAM East Asian Section Conference 2017 (EASIAM 2017),
   Seoul National University (Seoul, Korea), Jun. 22-25 2017 (talk: Jun. 24).

Japanese conference & workshops

1. 行列実数乗の数値積分に対する定数倍の前処理について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   日本応用数理学会2021年度年会 Sep. 7-9 2021 (talk: Sep. 9)

2. 数値積分を用いた行列対数関数の計算における前処理について
   立岡文理
   量子情報ミニワークショップ (talk: Feb. 24 2021)

3. 行列対数関数の数値計算について
   立岡文理
   量子情報ミニワークショップ,
   Hotel & Resort Nagahama (Shiga, Japan), Jan. 24-27 (talk: Jan. 25)

4. 数値積分に基づく行列対数関数の計算について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   RIMS共同研究 (公開型) 諸科学分野を結ぶ基礎学問としての数値解析学,
   Kyoto University (Kyoto, Japan), Nov. 6-8 2019 (talk: Nov. 6)

5. 行列実数乗に対する二重指数関数型公式の収束性解析と前処理について
   立岡文理
   2019年度数値解析・HPC研究集会,
   (Shiga, Japan), Sep. 28-29 2019 (talk: Sep. 28)

6. 数値積分に基づく行列実数乗の計算について
   立岡文理, 曽我部知広, 張紹良,
   第37回 計算数理工学フォーラム,
   Nagoya University (Nagoya, Japan), Sep. 20 2019 (talk: Sep. 20)

7. 行列実数乗の計算に対する数値積分法のための前処理について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   日本応用数理学会 2019年度年会,
   The University of Tokyo (Tokyo, Japan), Sep. 3-5 2019 (talk: Sep. 5)

8. 行列対数関数に対する二重指数関数型公式における積分区間の設定方法について
   立岡文理, 曽我部知広, 宮武勇登, 張紹良,
   日本応用数理学会 2019年度年会,
   The University of Tokyo (Tokyo, Japan), Sep. 3-5 2019 (talk: Sep. 5)

9. 行列実数乗に対する二重指数関数型公式の定数倍による前処理について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   第48回数値解析シンポジウム,
   AOSSA (Fukui, Japan), Jun. 10-12 2019 (talk: Jun. 12)

10. 二重指数関数型公式を用いた行列対数関数の計算について
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    日本応用数理学会 第15回 研究部会連合発表会,
    University of Tsukuba (Tsukuba, Japan), Mar. 4-5 2019 (talk: Mar. 4)

11. 行列実数乗と数値積分による計算
    立岡文理
    応用数学フレッシュマンセミナー2018,
    Kyoto University (Kyoto, Japan), Nov. 12-13 2018 (talk: Nov. 13)

12. 二重指数関数型公式を用いた行列対数関数の計算
    立岡文理
    2018年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 9-10 2018 (talk: Sep. 9)

13. 行列 \(p\) 乗根のためのNewton法の高速化について
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    日本応用数理学会 第13回 研究部会連合発表会,
    The University of Electro-Communications, (Tokyo, Japan), Mar. 6-7 2017 (talk: Mar. 6)

14. 行列 \(p\) 乗根のためのNewton法の初期値について,
    立岡文理
    2017年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 28-29 2017 (talk: Sep. 28)

15. 行列3乗根のためのNewton法の初期値推定に対する試み,
    立岡文理
    2016年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 21-22 2017 (talk: 22)

16. 行列 \(p\) 乗根のためのIncrement型Newton法について (pp. 55-58)
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    第45回数値解析シンポジウム （NAS2016）,
    Kirishima Hotel (Kagoshima, Japan) Jun. 8-10 (talk: 9)

17. 行列累乗根を求めるためのIannazzo法の高速化,
    立岡文理
    2015年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 2015