Problem 4. Eigenvalue and eigenvector computation 1) Give one example of the use of eigen analysis. 2) Describe a way to
Posted: Thu May 12, 2022 8:44 am
Problem 4. Eigenvalue and eigenvector computation 1) Give one example of the use of eigen analysis. 2) Describe a way to compute the condition number of a matrix. 3) If the condition number of the matrix A is of the form 100 how many decimal digits can be expected to be lost in the computation of the solution to Ax=b? 4) What is computed using the inverse power method? Give the expression for sequence computed by it. 5) If A is a Hermitian matrix, i.e. A = AH, what can be said about its eigenvalues? 6) When can the Power Method for eigenvalue and eigenvector computation be used?