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4 papers
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 with the …
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 from the underlying subspace tend to zero, the Ritz vectors may not converge and have poor or…
New Jacobi--Davidson type methods for the large SVD computations
Jinzhi Huang, Zhongxiao Jia
In a Jacobi--Davidson (JD) type method for singular value decomposition (SVD) problems, called JDSVD, a large symmetric and generally indefinite correction equation is solved itera…
Refined and refined harmonic Jacobi--Davidson methods for computing several GSVD components of a large regular matrix pair
Jinzhi Huang, Zhongxiao Jia
Three refined and refined harmonic extraction-based Jacobi--Davidson (JD) type methods are proposed, and their thick-restart algorithms with deflation and purgation are developed t…