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This is a survey on convergence theorems for the differential quotient difference with shifts (dqds) algorithm, which is one of the most efficient methods for computing matrix singular values. Emphasi...s is laid on the relationship and comparison between the global convergence theorem obtained recently by the present authors and Rutishauser’s convergence theorem for the Cholesky LR method with shifts for the positive-definite eigenvalue problem. Theorems on convergence rate of the dqds algorithm with different shift strategies are also reviewed.続きを見る
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Mendeley出力
JMI2010A-1