抄録
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 |
これを引用
Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory. / Fukuda, Akiko; Ishiwata, Emiko; Iwasaki, Masashi; Nakamura, Yoshimasa.
：: RIMS kokyuroku Bessatsu, 巻 B13, 2009, p. 1-17.研究成果: Article
}
TY - JOUR
T1 - Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory
AU - Fukuda, Akiko
AU - Ishiwata, Emiko
AU - Iwasaki, Masashi
AU - Nakamura, Yoshimasa
PY - 2009
Y1 - 2009
N2 - In this paper, we first review the results of [8, 9] that two discrete hungry integrablesystems 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.
AB - In this paper, we first review the results of [8, 9] that two discrete hungry integrablesystems 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.
M3 - Article
VL - B13
SP - 1
EP - 17
JO - RIMS kokyuroku Bessatsu
JF - RIMS kokyuroku Bessatsu
ER -