Describe the nonzero structure of the factors of the qr

Assignment Help Basic Computer Science

Reference no: EM131252582

1. Show that two matrices in adjacent iterations of the QR eigenvalue algorithm with a single explicit shift, Ak and Ak+1, are orthogonally similar.

2. Suppose A is a symmetric tridiagonal n ×n square matrix.

(a) Describe the nonzero structure of the factors of the QR factorization of A.

(b) Explain how Givens rotations can be used in the computation of the QR factorization of A, and show briefly that the operation count is far below what would be required for a full matrix.

Reference no: EM131252582

Questions Cloud

Vernon hills mail-order company : The Vernon Hills Mail-Order Company often sends multiple packages per order. For each customer order, output enough mailing labels to use on each of the boxes that will be mailed.

Discuss how these symbols are important to your holiday : Pick two symbols, and briefly discuss how these symbols are important to your holiday, ritual, or tradition. Remember that your focus should be on the two symbols you have chosen

What principles of organization govern the text : What principles of organization govern the text and how does the author use literary devices and elements to deliver a specific message to the audience? The six element

What are you willing to go to the wall for : This unit has stressed the importance of staying grounded and also clearly defining your true north. Keeping with that focus, put together a solid mantra/motto which captures your personal belief about your leadership goal. What are you willing to..

Describe the nonzero structure of the factors of the qr : Show that two matrices in adjacent iterations of the QR eigenvalue algorithm with a single explicit shift, Ak and Ak+1, are orthogonally similar.

Construct a control flow graph : Select a program of your choosing (or a program chosen by your instructor). briefly explain why you choose the program a. Construct a control flow graph for one of the modules in the program. b. Calculate the cyclomatic complexity number for one of t..

What is the nonzero structure of rq : Explain how Givens rotations can be used in the computation of the QR factorization of A, and show briefly that the operation count is far below what would be required for a full matrix.

What was your batna and how did that come into play : Eventually, the United States and Iran will have to sit down and negotiate the use of nuclear power. Discuss the issues that could be involved in such a negotiation. What cognitive mistakes might be made by the negotiators in this case? How could ..

What is the critical value to support the pair of actions : Let T = 1. What is the critical value δ1 to support the pair of actions (M,m) played in every period? - Let T = 2. What is the critical value δT to support the pair of actions (M,m) played in every period?

User Account

All Pages