NUMERICAL ANALYSIS MATH 609
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This 1 page Study Guide was uploaded by Evert Christiansen on Wednesday October 21, 2015. The Study Guide belongs to MATH 609 at Texas A&M University taught by Raytcho Lazarov in Fall. Since its upload, it has received 34 views. For similar materials see /class/226023/math-609-texas-a-m-university in Mathematics (M) at Texas A&M University.
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Date Created: 10/21/15
MATH 609602 Numerical Analysis Test 1 NO BOOKS NO NOTES please Test 1 will be based on the material on Numerical Algebra covered in class It will include I Theoretical questions 1 Derivation of formulas for method or algorithm that has been discussed in class For example derive the formulas for LU decomposition of a nonsingular matrix A or derive the formulas for some variant of SOR Gauss Sedel or other iterative methods for solving linear systems Ax b Newton iteration for nonlinear problems etc 2 Proofs of certain facts about vectors and matrices norms matrix norms condition numbers spectral radius eigenvalues etc 3 Proof of the convergence or divergence of a given iterative method for Ax b for a class of matrices A eg A spd or A diagonally dominant etc ll Computational problems 1 For a given system of linear equations you may be asked to compute the number of iterations for a given iteration method say Jacobi Richardson etc needed for reducing the initial error by 10 g 2 To show that a particular iterative method eg Gauss Seidel Richardson Jacobi etc converges or diverges for a given matrix A
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