mws_ind_sle_txt_ludecomp_examples

mws_ind_sle_txt_ludecomp_examples - 04.07.1 Chapter 04.07...

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Unformatted text preview: 04.07.1 Chapter 04.07 LU Decomposition – More Examples Industrial Engineering Example 1 To find the number of toys a company should manufacture per day to optimally use their injection-molding machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of toys for boys, 1 x , the number of toys for girls, 2 x , and the number of unisexual toys, 3 x .           =                     − 1260 756 00 . 00 . 1 05 . 1 3333 . 6667 . 1667 . 6667 . 1667 . 3333 . 3 2 1 x x x Find the values of 1 x , 2 x , and 3 x using naïve Gauss elimination. Solution [ ] [ ][ ]                     = = 33 23 22 13 12 11 32 31 21 1 1 1 u u u u u u U L A    The [ ] U matrix is the same as the one found at the end of the forward elimination steps of the naïve Gauss elimination method....
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_ind_sle_txt_ludecomp_examples - 04.07.1 Chapter 04.07...

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