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A structure-preserving Chebyshev-filtered subspace iteration for the Bethe-Salpeter eigenvalue problem
Blanca Mellado-Pinto, Fernando Alvarruiz, Jose E. Roman
The Bethe-Salpeter equation, which has many applications in both theoretical and applied physics, is generally solved via a matrix eigenvalue problem with a rich algebraic structur…
Variants of thick-restart Lanczos for the Bethe-Salpeter eigenvalue problem
Fernando Alvarruiz, Blanca Mellado-Pinto, Jose E. Roman
The non-Hermitian Bethe-Salpeter eigenvalue problem, in the definite case, is a structured eigenproblem, with real eigenvalues coming in pairs where the corresponding pa…
Thick-restarted joint Lanczos bidiagonalization for the GSVD
Fernando Alvarruiz, Carmen Campos, Jose E. Roman
The computation of the partial generalized singular value decomposition (GSVD) of large-scale matrix pairs can be approached by means of iterative methods based on expanding subspa…