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<font face="serif">One thing you will have to do over the next few
days is test you direct and iterative solver. Unfortunately you
can't just pick a random matrix and vector and solve for <img
style="vertical-align: middle"
src="cid:part1.01080607.08050306@mercer.edu" alt="$\vec{x}$">,<br>
<br>
<img style="vertical-align: middle"
src="cid:part2.02090908.02040805@mercer.edu"
alt="$\hat{A}\vec{x}=\vec{b}$">.<br>
<br>
What you CAN do, however, is create a matrix <img
style="vertical-align: middle"
src="cid:part3.03070405.06040600@mercer.edu" alt="$\hat{A}$">
and a vector <img style="vertical-align: middle"
src="cid:part1.01080607.08050306@mercer.edu" alt="$\vec{x}$">
and multiply them together to get a vector <img
style="vertical-align: middle"
src="cid:part5.06030505.03050506@mercer.edu" alt="$\vec{b}$">.
You can then use your matrix </font><font face="serif"><img
style="vertical-align: middle"
src="cid:part3.03070405.06040600@mercer.edu" alt="$\hat{A}$">
and your computed vector </font><font face="serif"><img
style="vertical-align: middle"
src="cid:part5.06030505.03050506@mercer.edu" alt="$\vec{b}$"> as
the arguments to your direct and iterative linear solvers and you
should get the vector </font><font face="serif"><img
style="vertical-align: middle"
src="cid:part1.01080607.08050306@mercer.edu" alt="$\vec{x}$">
back.<br>
<br>
<br>
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<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
<a class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
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