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研究成果 2008 2019

  • 62 引用
  • 5 h指数
  • 17 Article
  • 5 Conference contribution
  • 1 Conference article
2019

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

Fukuda, A., Watanabe, S., Hanaoka, A. & Iwasaki, M., 2019 5 31, : : Journal of Physics: Conference Series. 1218, 1, 012015.

研究成果: Conference article

公開
algebra
eigenvalues
matrices
2018
1 引用 (Scopus)

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

Watanabe, S., Fukuda, A., Shigitani, H. & Iwasaki, M., 2018 10 8, : : Journal of Physics A: Mathematical and Theoretical. 51, 44, 444001.

研究成果: Article

eigenvalues
Linear algebra
Directed graphs
matrices
Algebra

Periodic convergence in the discrete hungry Toda equation

Takahashi, Y., Iwasaki, M., Fukuda, A., Ishiwata, E. & Nakamura, Y., 2018 7 16, : : Journal of Physics A: Mathematical and Theoretical. 51, 34, 344001.

研究成果: Article

infinity
2017

Computation of eigenvectors for a specially structured banded matrix

Takeuchi, H., Aihara, K., Fukuda, A. & Ishiwata, E., 2017 1 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; 巻数 117).

研究成果: Conference contribution

Eigenvalues and eigenfunctions

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 1 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; 巻数 117).

研究成果: Conference 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 6 3, : : Cogent Mathematics. 2, 1046538.

研究成果: Article

公開

Conserved quantities of the integrable discrete hungry systems

Kakizaki, S., Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2015 10 1, : : Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. 889-899 11 p.

研究成果: Article

Polynomials
3 引用 (Scopus)

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 3 10, AIP Conference Proceedings. American Institute of Physics Inc., 巻 1648. 690006

研究成果: Conference contribution

eigenvalues
matrices
2013
2 引用 (Scopus)

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

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

研究成果: Article

Asymptotic analysis
5 引用 (Scopus)

Development of electromagnetic phantom at low-frequency band

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

研究成果: Conference contribution

Frequency bands
Electric properties
Carbon
Gels
9 引用 (Scopus)
Dielectric properties
Animals
Tissue
Gels
Electromagnetic compatibility
14 引用 (Scopus)

Integrable discrete hungry systems and their related matrix eigenvalues

Fukuda, A., Ishiwata, E., Yamamoto, Y., Iwasaki, M. & Nakamura, Y., 2013 6, : : Annali di Matematica Pura ed Applicata. 192, 3, p. 423-445 23 p.

研究成果: Article

4 引用 (Scopus)

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

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

研究成果: Article

2012
2 引用 (Scopus)

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

Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2012 10, : : Numerical Algorithms. 61, 2, p. 243-260 18 p.

研究成果: Article

Error analysis
Digital arithmetic
Convergence of numerical methods

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, : : Journal of Math-for-Industry. 4A, p. 5-15

研究成果: Article

2011
9 引用 (Scopus)

A Bäcklund transformation between two integrable discrete hungry systems

Fukuda, A., Yamamoto, Y., Iwasaki, M., Ishiwata, E. & Nakamura, Y., 2011 1 17, : : Physics Letters, Section A: General, Atomic and Solid State Physics. 375, 3, p. 303-308 6 p.

研究成果: Article

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, AIP Conference Proceedings. 巻 1281. p. 2045-2048 4 p.

研究成果: Conference contribution

dynamical systems
shift

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, : : JSIAM Letters. 1, p. 36--39

研究成果: Article

13 引用 (Scopus)

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

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

研究成果: Article

Polynomials