Tianhang Liu

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math.NA2026

Stable and effective restarting of the SS--RR and SS--RRR methods for computing partial eigenpairs of Hermitian matrices

Zhongxiao Jia, Tianhang Liu

We consider stable and effective restarts of the SS--RR and SS--RRR methods for computing the eigenpairs of a large Hermitian matrix $A \in C^{n \times n}$ with the $n_{e v}$ …

math.NA2026

A refined CJ--SS--RR method with a reliable removal approach of spurious Ritz values for the Hermitian eigenvalue problem

Zhongxiao Jia, Tianhang Liu

Under the hypothesis that the deviations of the desired eigenvectors of the matrix $A$ from the underlying subspace tend to zero, the Ritz vectors may not converge and have poor or…