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01/16/2023
An augmented matrix-based CJ-FEAST SVDsolver for computing a partial singular value decomposition with the singular values in a given interval
The cross-product matrix-based CJ-FEAST SVDsolver proposed previously by...
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12/15/2022
A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix
The spectral decomposition of a real skew-symmetric matrix A can be math...
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12/01/2022
An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for nonlinear eigenvalue problems
We analyze the Rayleigh-Ritz method and the refined Rayleigh-Ritz method...
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01/09/2022
Two harmonic Jacobi–Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair
Two harmonic extraction based Jacobi–Davidson (JD) type algorithms are p...
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01/09/2022
A FEAST SVDsolver for the computation of singular value decompositions of large matrices based on the Chebyshev–Jackson series expansion
The FEAST eigensolver is extended to the computation of the singular tri...
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02/19/2021
A comparison of eigenvalue-based algorithms and the generalized Lanczos trust-region algorithm for Solving the trust-region subproblem
Solving the trust-region subproblem (TRS) plays a key role in numerical ...
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04/29/2020
A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition (GSVD) of a large matrix pair
A Cross-Product Free (CPF) Jacobi-Davidson (JD) type method is proposed ...
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04/10/2020
Optimal Subspace Expansion for Matrix Eigenvalue Problems
In this paper, we consider the optimal subspace expansion problem for th...
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03/19/2020
The Krylov Subspaces, Low Rank Approximations and Ritz Values of LSQR for Linear Discrete Ill-Posed Problems: the Multiple Singular Value Case
For the large-scale linear discrete ill-posed problem minAx-b or Ax=b wi...
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08/06/2019
The convergence of the Generalized Lanczos Trust-Region Method for the Trust-Region Subproblem
Solving the trust-region subproblem (TRS) plays a key role in numerical ...
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07/24/2019