HW6 - COT 3502 Computer Model Formulation Spring 2008 1...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
COT 3502 Computer Model Formulation Spring 2008 1 Homework # 6 Due Thursday, March 20 All problems except #1 and #2 should be solved using VB. 1. (3 points) As we discussed in class, once you have performed the LU decomposition of a matrix, it is much less time consuming to solve the linear equations with the same left-hand side but different right-hand sides. Using the Gauss-Jordan method, obtain the matrices U and L - 1 of the LU decomposition of the matrix A = 1 2 0 1 1 1 1 2 1 . (1) Then, using the obtained matrices U and L - 1 , solve the equations A x = b with (a) b = 1 2 3 and (b) b = 2 0 - 1 . (2) 2. (3 points) Our proof of LU decomposition relied on the fact that the product of two lower triangular matrices is still a lower triangular matrix. Prove this fact! 3. (3 points) Consider the subroutine Gauss which you have developed for the previous homework. Modify this subroutine to perform pivoting before every step of the Gaussian elimination.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern