抜粋
In this paper, we first review the results of [8, 9] that two discrete hungry integrable
systems are related to matrix eigenvalue computation. Especially, we next clarify the existence of a center manifold for the discrete hungry Lotka-Volterra (dhLV) system. By using the center manifold theory, we prove that the solution of the dhLV system, employed in the dhLV algorithm for computing eigenvalues, exponentially converges to its equilibrium point.
systems are related to matrix eigenvalue computation. Especially, we next clarify the existence of a center manifold for the discrete hungry Lotka-Volterra (dhLV) system. By using the center manifold theory, we prove that the solution of the dhLV system, employed in the dhLV algorithm for computing eigenvalues, exponentially converges to its equilibrium point.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 1-17 |
| ジャーナル | RIMS kokyuroku Bessatsu |
| 巻 | B13 |
| 出版物ステータス | Published - 2009 |
フィンガープリント Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Fukuda, A., Ishiwata, E., Iwasaki, M., & Nakamura, Y. (2009). Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory. RIMS kokyuroku Bessatsu, B13, 1-17. http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B13/B13.html