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Xinyu Shan

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Preprint Sep 2026

A Structure-Preserving LOBPCG Method for Computing Several of the Largest Generalized Singular Triplets

We develop a structure-preserving locally optimal block preconditioned conjugate gradient(LOBPCG) method for computing several of the largest positive generalized singular values of a matrix pair \((A, B)\), where \(B\) has full column rank, together with the associated generalized singular vectors. The method is deriv...

Xinyu Shan · 0 citations