28 citations · 222 across the 42 of their papers we have counts for
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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…
An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for regular nonlinear eigenvalue problems
Zhongxiao Jia, Qingqing Zheng
We establish a general convergence theory of the Rayleigh--Ritz method and the refined Rayleigh--Ritz method for computing some simple eigenpair of a given analytic…
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 FEAST SVDsolver based on Chebyshev--Jackson series for computing partial singular triplets of large matrices
Zhongxiao Jia, Kailiang Zhang
The FEAST eigensolver is extended to the computation of the singular triplets of a large matrix with the singular values in a given interval. The resulting FEAST SVDsolver is s…