# Let A be a general non symmetric nonsingular square matrix, and consider the following two…

Let A be a
general non symmetric nonsingular square matrix, and consider the following two
alternatives. The first is applying GMRES to solve the linear system Ax = b;
the second is applying CG to the normal equations

We briefly
discussed this in Section 7.5; the method we mentioned in that context was
CGLS.

(a) Suppose
your matrix A is nearly orthogonal. Which of the two solvers is expected to
converge faster?

(b) Suppose
your matrix is block diagonal relative to 2 ×2 blocks, where the jth block is
given by

with j =
1,…,n/2. Which of the two solvers is expected to converge
»

Let A be a
general non symmetric nonsingular square matrix, and consider the following two
alternatives. The first is applying GMRES to solve the linear system Ax = b;
the second is applying CG to the normal equations

We briefly
discussed this in Section 7.5; the method we mentioned in that context was
CGLS.

(a) Suppose
your matrix A is nearly orthogonal. Which of the two solvers is expected to
converge faster?

(b) Suppose
your matrix is block diagonal relative to 2 ×2 blocks, where the jth block is
given by

with j =
1,…,n/2. Which of the two solvers is expected to converge faster?

[Hint:
Consider the eigenvalues and the singular values of the matrices.]

»

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.