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math.NA2025
A Chebyshev--Jackson series based block SS--RR algorithm for computing partial eigenpairs of real symmetric matrices
Zhongxiao Jia, Tianhang Liu
This paper considers eigenpair computations of large symmetric matrices with the desired eigenvalues lying in a given interval using the contour integral-based block SS--RR method,…
math.NA2025
An Implicitly Restarted Joint Bidiagonalization Algorithm for Large GSVD Computations
Kaixiao Fang, Zhongxiao Jia
The joint bidiagonalization (JBD) process of a regular matrix pair is mathematically equivalent to two simultaneous Lanczos bidiagonalization processes of the upper and l…