HW2 - CSci 5302 HW2 Due Feb 23 2010 • Hand in a written...

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Unformatted text preview: CSci 5302 HW2 Due: Feb. 23 2010 • Hand in a written description of how you set up and solved each problem. You are not required to hand in the computer source code, but you should describe the algorithms you used, including how you decided to stop. The computer code might be useful to give some partial credit in case of incorrect answers. If you use only code fragments in an interactive system, you can hand in a transcript of those, with hand-written explanations. You are not required to write a closed form algorithm to find the answers. 1. Define the matrix A ( ε k ) = parenleftbigg ε k 1 . 23456789 1 . 23456789 1 . 23456789 parenrightbigg b ( ε k ) = parenleftbigg 1 + ε k 2 parenrightbigg . Do each of the following problems with ε k taking on the following values: k ε k 1 1 . 234567889999999 2 1 . 23456788 3 1 e − 12 4 1 e − 15 5 1 e − 18 (a) Use the built-in matlab routines to solve A ( ε k ) x ( ε k ) = b ( ε k ) for (i) the computed solution x ( ε k ), (ii) the norm of the residual...
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HW2 - CSci 5302 HW2 Due Feb 23 2010 • Hand in a written...

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