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Research Output

  • 63 Citations
  • 5 h-Index
  • 18 Article
  • 4 Conference contribution
  • 2 Conference article
2020

A walk on max-plus algebra

Watanabe, S., Fukuda, A., Segawa, E. & Sato, I., 2020 Aug 1, In : Linear Algebra and Its Applications. 598, p. 29-48 20 p.

Research output: Contribution to journalArticle

2019

Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices

Fukuda, A., Watanabe, S., Hanaoka, A. & Iwasaki, M., 2019 May 31, In : Journal of Physics: Conference Series. 1218, 1, 012015.

Research output: Contribution to journalConference article

Open Access
2018

Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation

Watanabe, S., Fukuda, A., Shigitani, H. & Iwasaki, M., 2018 Oct 8, In : Journal of Physics A: Mathematical and Theoretical. 51, 44, 444001.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Periodic convergence in the discrete hungry Toda equation

Takahashi, Y., Iwasaki, M., Fukuda, A., Ishiwata, E. & Nakamura, Y., 2018 Jul 16, In : Journal of Physics A: Mathematical and Theoretical. 51, 34, 344001.

Research output: Contribution to journalArticle

2017

Computation of eigenvectors for a specially structured banded matrix

Takeuchi, H., Aihara, K., Fukuda, A. & Ishiwata, E., 2017 Jan 1, Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Springer Verlag, p. 143-155 13 p. (Lecture Notes in Computational Science and Engineering; vol. 117).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Monotonic convergence to eigenvalues of totally nonnegative matrices in an integrable variant of the discrete lotka-volterra system

Tobita, A., Fukuda, A., Ishiwata, E., Iwasaki, M. & Nakamura, Y., 2017 Jan 1, Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Springer Verlag, p. 157-169 13 p. (Lecture Notes in Computational Science and Engineering; vol. 117).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2015

An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique

Shinjo, M., Iwasaki, M., Fukuda, A., Ishiwata, E., Yamamoto, Y. & Nakamura, Y., 2015 Jun 3, In : Cogent Mathematics. 2, 1046538.

Research output: Contribution to journalArticle

Open Access

Conserved quantities of the integrable discrete hungry systems

Kakizaki, S., Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2015 Oct 1, In : Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. 889-899 11 p.

Research output: Contribution to journalArticle

Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation

Sumikura, R., Fukuda, A., Ishiwata, E., Yamamoto, Y., Iwasaki, M. & Nakamura, Y., 2015 Mar 10, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014. Simos, T. E., Simos, T. E., Tsitouras, C. & Simos, T. E. (eds.). American Institute of Physics Inc., 690006. (AIP Conference Proceedings; vol. 1648).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)
2013

Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues

Takahashi, Y., Iwasaki, M., Fukuda, A., Ishiwata, E. & Nakamura, Y., 2013 Mar 1, In : Applicable Analysis. 92, 3, p. 586-594 9 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Development of electromagnetic phantom at low-frequency band

Yamamoto, T., Sano, K., Koshiji, K., Chen, X., Yang, S., Abe, M. & Fukuda, A., 2013 Oct 31, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2013. p. 1887-1890 4 p. 6609893. (Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Development of test fixture for measurement of dielectric properties and its verification using animal tissues

Yamamoto, T., Koshiji, K. & Fukuda, A., 2013 Sep 1, In : Physiological Measurement. 34, 9, p. 1179-1191 13 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Integrable discrete hungry systems and their related matrix eigenvalues

Fukuda, A., Ishiwata, E., Yamamoto, Y., Iwasaki, M. & Nakamura, Y., 2013 Jun 1, In : Annali di Matematica Pura ed Applicata. 192, 3, p. 423-445 23 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

On a shifted LR transformation derived from the discrete hungry Toda equation

Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2013 Jan 1, In : Monatshefte fur Mathematik. 170, 1, p. 11-26 16 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

ハングリー型の離散可積分系と非対称行列の固有値計算: 可積分アルゴリズムにおける最近の発展

Translated title of the contribution: Discrete Integrable Systems of Hungry Type and Numerical Algorithms for Eigenvalues of Nonsymmetric Matrices: Recent Developments in Integrable AlgorithmsFukuda, A., Iwasaki, M., Yamamoto, Y., Ishiwata, E. & Nakamura, Y., 2013, In : Transactions of the Japan Society for Industrial and Applied Mathematics. 23, p. 109-181

Research output: Contribution to journalArticle

2012

Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation

Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2012 Oct 1, In : Numerical Algorithms. 61, 2, p. 243-260 18 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On some properties of a discrete hungry Lotka-Volterra system of multiplicative type

Hama, Y., Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2012, In : Journal of Math-for-Industry. 4A, p. 5-15

Research output: Contribution to journalArticle

2011

A Bäcklund transformation between two integrable discrete hungry systems

Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2011 Jan 17, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 375, 3, p. 303-308 6 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

A note on eigenvalue computation for a tridiagonal matrix with real eigenvalues

Fukuda, A., 2011, In : Journal of Math-for-Industry. 3A, p. 47--52

Research output: Contribution to journalArticle

2010

On a variable transformation between two integrable systems: The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system

Yamamoto, Y., Fukuda, A., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2010 Dec 1, In : AIP Conference Proceedings. 1281, p. 2045-2048 4 p.

Research output: Contribution to journalConference article

2009

Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory

Fukuda, A., Ishiwata, E., Iwasaki, M. & Nakamura, Y., 2009, In : RIMS kokyuroku Bessatsu. B13, p. 1-17

Research output: Contribution to journalArticle

On the qd-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm

Fukuda, A., Ishiwata, E., Iwasaki, M. & Yamamoto, Y., 2009, In : JSIAM Letters. 1, p. 36--39

Research output: Contribution to journalArticle

The discrete hungry Lotka-Volterra system and a new algorithm for computing matrix eigenvalues

Fukuda, A., Ishiwata, E., Iwasaki, M. & Nakamura, Y., 2009 Mar 25, In : Inverse Problems. 25, 1, 015007.

Research output: Contribution to journalArticle

14 Citations (Scopus)
2008

離散ハングリーロトカ・ボルテラ系による固有多項式の数値的因数分解

Translated title of the contribution: A numerical factorization of charasteristic polynomial by the discrete hungry Lotka-Volterra systemFukuda, A., Ishiwata, E., Iwasaki, M. & Nakamura, Y., 2008, In : Transactions of the Japan Society for Industrial and Applied Mathematics. 18, p. 409-425

Research output: Contribution to journalArticle