4 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…