SVDTRLanczosGBidiag

The choice of bidiagonalization for the SVDTRLANCZOS GSVD solver.

Synopsis

typedef enum {
  SVD_TRLANCZOS_GBIDIAG_SINGLE,
  SVD_TRLANCZOS_GBIDIAG_UPPER,
  SVD_TRLANCZOS_GBIDIAG_LOWER
} SVDTRLanczosGBidiag;

Values

• SVD_TRLANCZOS_GBIDIAG_SINGLE - single bidiagonalization (\(Q_A\))

• SVD_TRLANCZOS_GBIDIAG_UPPER - joint bidiagonalization, both \(Q_A\) and \(Q_B\) in upper bidiagonal form

• SVD_TRLANCZOS_GBIDIAG_LOWER - joint bidiagonalization, \(Q_A\) lower bidiagonal, \(Q_B\) upper bidiagonal

Note

The different variants are described in [Alvarruiz et al., 2024].

References

[Alv24]

F. Alvarruiz, C. Campos, and J. E. Roman. Thick-restarted joint Lanczos bidiagonalization for the GSVD. J. Comput. Appl. Math., 440:115506, 2024. doi:10.1016/j.cam.2023.115506.

See Also

SVD: Singular Value Decomposition, SVDTRLanczosSetGBidiag(), SVDTRLanczosGetGBidiag()

Level

advanced

Location

include/slepcsvd.h

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