QR rank-1 update (qr1up
)
Updates the QR factorization after an additive rank-1 update to the original matrix (A = A + u*v'
).
Works for full & economized factorization.
QR column insert (qrinc
)
Updates the QR factorization after an inserting a column to the original matrix. Works for full & economized factorization.
QR column delete (qrdec
)
Updates the QR factorization after an deleting a column from the original matrix. Works for full & economized factorization.
QR column shift (qrshc
)
Updates the QR factorization after a circular shift of columns in the original matrix. Works for full & economized factorization.
QR row insert (qrinr
)
Updates the QR factorization after an inserting a row to the original matrix. Works for full factorization only.
QR row delete (qrder
)
Updates the QR factorization after an deleting a row from the original matrix. Works for full factorization only.
Cholesky rank-1 update (ch1up
)
Updates the Cholesky factorization after positive rank-1 update A = A + u*u'
.
Cholesky rank-1 downdate (ch1dn
)
Updates the Cholesky factorization after positive rank-1 downdate A = A - u*u'
.
Cholesky symmetric insert (chinx
)
Updates the Cholesky factorization after a symmetric column/row insertion.
Cholesky symmetric insert (chdex
)
Updates the Cholesky factorization after a symmetric column/row deletion.
Cholesky symmetric shift (chshx
)
Updates the Cholesky factorization after a symmetric column/row left/right circular shift.
LU rank-1 update (lu1up
)
Updates the LU factorization after a rank-1 update (A = A + u*v.'
).
No pivoting available. Faster than lup1up
, but less stable.
LU pivoted rank-1 update (lup1up
)
Updates a row-pivoted LUP factorization after a rank-1 update (A = A + u*v.'
).
Also updates the row permutation matrix. Slower than lu1up
, but more stable.
qrupdate-ng is a modernized and maintained fork of:
qrupdate (Version 1.1.2)
For a list of original authors see CHANGELOG file.
See the LICENSE file.
See the INSTALL file for installation details. Consult individual routines for documentation.