EE103 HW6

EE103 HW6 - EE103, HW 6, Winter 2009, Prof. S. E. Jacobsen...

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EE103, HW 6, Winter 2009, Prof. S. E. Jacobsen Page 1 / 5 EE103 Applied Numerical Computing, Winter 2009 HW 6 Due: 03/12/09 Your HW answers must contain your ID, Last Name, First Name, and the number of the Discussion Section in which you are enrolled. Class: The purpose of HWs is absolutely NOT for the mere assignment of grades. The purpose of HW assignments is to engage the student in the process of learning the material of the course and the material that the instructor believes to be instructive. As such, your work should be your own and reflect your effort in the learning process. As a result, you are not to consult the notes, HWs, HW solutions, etc., of other courses or past offerings of this course. Of course, you may discuss the material of this course with other students of this class; however, your work must be your own. Prob 1 (Tutorial: to assure your understanding of the Simplex Algorithm): (a) Solve the following LP 3 12 3 3 3 30 12 10 min 8 32 17 3 9 8 2 16 0 x xx x x x x −− −+ + + + Set up the initial tableau, 0 T , in the same manner as the examples in the lecture slides or lecture notes; also, note that the above problem is a minimization problem. Use ee103piv.m, and “diary”. (b) 3 4 3 24 3 4 4 4 min 2 4 5 2 3 0 x x x x x x x + + + The instructions in part (a) apply. Prob 2 (Tutorial: Condition Numbers): We have seen that “modified QR” factorization is more “numerically stable” than the “Classic QR factorization” (i.e., the Gram-Schmidt method). The following is meant to provide examples of “condition” vs. “numerical stability”.
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This note was uploaded on 03/30/2009 for the course EE 103 taught by Professor Vandenberghe,lieven during the Winter '08 term at UCLA.

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EE103 HW6 - EE103, HW 6, Winter 2009, Prof. S. E. Jacobsen...

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