HW5 - 10.11 l = 1.0000 0 0 0.3750 1.0000 0 0.2500 0.4000...

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Problem Instructions and changes in problems 10.3 Factor by hand, then multiply with Matlab. You can use Matlab lu to check your results. 10.8 10.11 Do only with Matlab, this includes calculating the determinant from the LU factorization (it’s easy because only the diagonal is involved), but without using the function det. 11.3 Review section 11.1.2 (equations on p. 252) for parts (c) and (d). 11.6 Do by hand and check with Matlab (normalize by largest absolute value ). 11.8 There is significant variation of condition number between computers, so order of magnitude is the most important. 11.14 You can use Matlab to generate the coefficient matrix 12.1 Write a simple Matlab program to perform each Gauss-Seidel iteration without and with overrelaxation. Make sure the maximum error is less than 5% for each component. 12.7 Formulate Newton-Raphson equations by hand, implement numerical solution in Matlab. See corrected solution. 10.3 Use Matlab to check your results 10.8 (a) 4 (c) x = -2.7344 4.8828 -1.7187
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Unformatted text preview: 10.11 l = 1.0000 0 0 0.3750 1.0000 0 0.2500 0.4000 1.0000 u = 8.0000 2.0000 1.0000 0 6.2500 1.6250 0 0 8.1000 11.3 (a) AI = 0.07253886010363 0.01278065630397 0.01243523316062 0.02072538860104 0.06079447322971 0.03212435233161 0.02590673575130 0.00932642487047 0.09015544041451 (b) c = 320.2073 227.2021 321.5026 (c) Δ b 3 = 804.1667 g/d (d) Δ c 3 = 15.285 g/m 3 11.6 The three norms are 1.992, 2.8 and 2. 11.8 (a) 8.8963e+016; (b) 3.2922e+018 11.14: Coefficient vector p = 1.33333333333201e-012 -4.53333333333155e-009 5.29666666666581e-006 -0.00317366666666649 1.20299999999999 12.1 (a) After 6 iterations, 1 x = 167.8711, 2 x = 239.1211, 3 x = 250.8105 , maximum error = 3.5% (b) After 6 iterations, 1 x = 171.423, 2 x = 244.389 , 3 x = 253.622 , maximum error = 4.997% 12.7 iter x y ea1 ea2 0 1.2 1.2 1 1.54355 0.02903 22.257 4033.333 2 1.39412 0.22287 10.718 86.974 3 1.37245 0.23929 1.579 6.862 4 1.37207 0.2395 0.028 0.087 5 1.37207 0.2395 0 0...
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This note was uploaded on 09/05/2011 for the course EGM 3344 taught by Professor Raphaelhaftka during the Spring '09 term at University of Florida.

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HW5 - 10.11 l = 1.0000 0 0 0.3750 1.0000 0 0.2500 0.4000...

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