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

Akiko Fukuda; Emiko Ishiwata; Masashi Iwasaki; Yusaku Yamamoto

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

Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yusaku Yamamoto

Research output: Contribution to journal › Article › peer-review

Abstract

The discrete hungry Lotka-Volterra (dhLV) system is already shown to be applied to matrix eigenvalue algorithm. In this paper, we discuss a form of the dhLV system named as the qd-type dhLV system and associate it with a matrix eigenvalue computation. Along a way similar to the dqd algorithm, we also design a new algorithm without cancellation in terms of the qd-type dhLV system.

Original language	English
Pages (from-to)	36--39
Journal	JSIAM Letters
Volume	1
Publication status	Published - 2009

Cite this

@article{42949972df594d67afdf4efdd725c7b7,

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

abstract = "The discrete hungry Lotka-Volterra (dhLV) system is already shown to be applied to matrix eigenvalue algorithm. In this paper, we discuss a form of the dhLV system named as the qd-type dhLV system and associate it with a matrix eigenvalue computation. Along a way similar to the dqd algorithm, we also design a new algorithm without cancellation in terms of the qd-type dhLV system. ",

author = "Akiko Fukuda and Emiko Ishiwata and Masashi Iwasaki and Yusaku Yamamoto",

year = "2009",

language = "English",

volume = "1",

pages = "36----39",

journal = "JSIAM Letters",

issn = "1883-0617",

}

TY - JOUR

T1 - On the qd-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm

AU - Fukuda, Akiko

AU - Ishiwata, Emiko

AU - Iwasaki, Masashi

AU - Yamamoto, Yusaku

PY - 2009

Y1 - 2009

N2 - The discrete hungry Lotka-Volterra (dhLV) system is already shown to be applied to matrix eigenvalue algorithm. In this paper, we discuss a form of the dhLV system named as the qd-type dhLV system and associate it with a matrix eigenvalue computation. Along a way similar to the dqd algorithm, we also design a new algorithm without cancellation in terms of the qd-type dhLV system.

AB - The discrete hungry Lotka-Volterra (dhLV) system is already shown to be applied to matrix eigenvalue algorithm. In this paper, we discuss a form of the dhLV system named as the qd-type dhLV system and associate it with a matrix eigenvalue computation. Along a way similar to the dqd algorithm, we also design a new algorithm without cancellation in terms of the qd-type dhLV system.

M3 - Article

SN - 1883-0617

VL - 1

SP - 36

EP - 39

JO - JSIAM Letters

JF - JSIAM Letters

ER -