5 citations · 16 across the 8 of their papers we have counts for
8 papers
JD-V: A new variant of Jacobi--Davidson method for large Hermitian eigenproblems
Jinzhi Huang
A novel variant of the Jacobi-Davidson (JD) type method for Hermitian eigenvalue problems, designated as JD-V, is proposed based on a newly designed correction equation, whose solu…
An LSQR-based algorithm for large-scale null space computations
Jinzhi Huang
Computing the null space and null vectors of large-scale matrices is a fundamental task in numerical linear algebra and scientific computing. In this paper, an LSQR-based algorithm…
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…
A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix
Jinzhi Huang, Zhongxiao Jia
The spectral decomposition of a real skew-symmetric matrix can be mathematically transformed into a specific structured singular value decomposition (SVD) of . Based on such…
Two harmonic Jacobi--Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair
Jinzhi Huang, Zhongxiao Jia
Two harmonic extraction based Jacobi--Davidson (JD) type algorithms are proposed to compute a partial generalized singular value decomposition (GSVD) of a large regular matrix pair…
A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition (GSVD) of a large matrix pair
Jinzhi Huang, Zhongxiao Jia
A Cross-Product Free (CPF) Jacobi-Davidson (JD) type method is proposed to compute a partial generalized singular value decomposition (GSVD) of a large regular matrix pair .…
On inner iterations of Jacobi-Davidson type methods for large SVD computations
Jinzhi Huang, Zhongxiao Jia
We make a convergence analysis of the harmonic and refined harmonic extraction versions of Jacobi-Davidson SVD (JDSVD) type methods for computing one or more interior singular trip…