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Further information on the algorithms described in this section can be
found in the following book,
-
G. H. Golub, C. F. Van Loan, Matrix Computations (3rd Ed, 1996),
Johns Hopkins University Press, ISBN 0-8018-5414-8.
The LAPACK library is described in,
-
LAPACK Users' Guide (Third Edition, 1999), Published by SIAM,
ISBN 0-89871-447-8.
@url{http://www.netlib.org/lapack}
The LAPACK source code can be found at the website above, along
with an online copy of the users guide.
The Modified Golub-Reinsch algorithm is described in the following paper,
-
T.F. Chan, "An Improved Algorithm for Computing the Singular Value
Decomposition", ACM Transactions on Mathematical Software, 8
(1982), pp 72--83.
The Jacobi algorithm for singular value decomposition is described in
the following papers,
-
J.C.Nash, "A one-sided transformation method for the singular value
decomposition and algebraic eigenproblem", Computer Journal,
Volume 18, Number 1 (1973), p 74--76
-
James Demmel, Kresimir Veselic, "Jacobi's Method is more accurate than
QR", Lapack Working Note 15 (LAWN-15), October 1989. Available
from netlib, @url{http://www.netlib.org/lapack/} in the
lawns
or
lawnspdf
directories.
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