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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.

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