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<h3 class="section">13.16 References and Further Reading</h3>
<p>Further information on the algorithms described in this section can be
found in the following book,
<ul>
<li>G. H. Golub, C. F. Van Loan, <cite>Matrix Computations</cite> (3rd Ed, 1996),
Johns Hopkins University Press, ISBN 0-8018-5414-8.
</ul>
<p class="noindent">The <span class="sc">lapack</span> library is described in the following manual,
<ul>
<li><cite>LAPACK Users' Guide</cite> (Third Edition, 1999), Published by SIAM,
ISBN 0-89871-447-8.
<p><a href="http://www.netlib.org/lapack">http://www.netlib.org/lapack</a>
</ul>
<p class="noindent">The <span class="sc">lapack</span> source code can be found at the website above, along
with an online copy of the users guide.
<p class="noindent">The Modified Golub-Reinsch algorithm is described in the following paper,
<ul>
<li>T.F. Chan, “An Improved Algorithm for Computing the Singular Value
Decomposition”, <cite>ACM Transactions on Mathematical Software</cite>, 8
(1982), pp 72–83.
</ul>
<p class="noindent">The Jacobi algorithm for singular value decomposition is described in
the following papers,
<ul>
<li>J.C. Nash, “A one-sided transformation method for the singular value
decomposition and algebraic eigenproblem”, <cite>Computer Journal</cite>,
Volume 18, Number 1 (1973), p 74–76
<li>James Demmel, Kresimir Veselic, “Jacobi's Method is more accurate than
QR”, <cite>Lapack Working Note 15</cite> (LAWN-15), October 1989. Available
from netlib, <a href="http://www.netlib.org/lapack/">http://www.netlib.org/lapack/</a> in the <code>lawns</code> or
<code>lawnspdf</code> directories.
</ul>
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