Elementary Numerical Mathematics for Programmers and Engineers by Gisbert Stoyan & Agnes Baran

Author:Gisbert Stoyan & Agnes Baran
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

5.5 Exercises

1.Why can we expect that in the case of the triple eigenvalue λ = 4 of the matrix below there exist 3 orthogonal eigenvectors? Find these eigenvectors.

2.Calculate the row sum norm of the following matrix and give a lower and upper estimation for the absolute value of the eigenvalue having the smallest absolute value. Using this information, show that A is regular and estimate the value of ∥ A −1 ∥  ∞ and the condition number.

3.Apply the power iteration (without normalization during the iteration) to the matrix

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.