28 citations · 222 across the 42 of their papers we have counts for
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math.NA2009
A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices
Zhongxiao Jia, Datian Niu
The harmonic Lanczos bidiagonalization method can be used to compute the smallest singular triplets of a large matrix . We prove that for good enough projection subspaces harmon…
math.NA2009★ 4 cited
On Convergence of the Inexact Rayleigh Quotient Iteration with the Lanczos Method Used for Solving Linear Systems
Zhongxiao Jia
For the Hermitian inexact Rayleigh quotient iteration (RQI), the author has established new local general convergence results, independent of iterative solvers for inner linear sys…
math.NA2009★ 1 cited
On Convergence of the Inexact Rayleigh Quotient Iteration with MINRES
Zhongxiao Jia
For the Hermitian inexact Rayleigh quotient iteration (RQI), we present a new general theory, independent of iterative solvers for shifted inner linear systems. The theory shows th…