Summary in math


I need a summary to the page in the attachment. write it with simple words

please , first read the attachment

Algorithm 5.2 (CG).
Given xo;
Setro – Axo – b, po + -rok = 0;
while rk 70
PÃ Apx’
Xk+1 + Xx + QkPk;
rk+1 + k + QkApk;
Pk+1 + – +1 + Bk+1Pk;
k+ k + 1;
end (while)
At any given point in Algorithm 5.2 we never need to know the vectors x, r, and
p for more than the last two iterations. Accordingly, implementations of this algorithm
overwrite old values of these vectors to save on storage. The major computational tasks to be
performed at each step are computation of the matrix-vector product Apk, calculation of
the inner products pĀ (Apx) and rk+k+1, and calculation of three vector sums. The inner
product and vector sum operations can be performed in a small multiple of n floating-point
operations, while the cost of the matrix-vector product is, of course, dependent on the
problem. The CG method is recommended only for large problems; otherwise, Gaussian
elimination or other factorization algorithms such as the singular value decomposition are
to be preferred, since they are less sensitive to rounding errors. For large problems, the CG
method has the advantage that it does not alter the coefficient matrix and (in contrast to
factorization techniques) does not produce fill in the arrays holding the matrix. Another key
property is that the CG method sometimes approaches the solution quickly, as we discuss

Purchase answer to see full

We offer the bestcustom writing paper services. We have done this question before, we can also do it for you.

Why Choose Us

  • 100% non-plagiarized Papers
  • 24/7 /365 Service Available
  • Affordable Prices
  • Any Paper, Urgency, and Subject
  • Will complete your papers in 6 hours
  • On-time Delivery
  • Money-back and Privacy guarantees
  • Unlimited Amendments upon request
  • Satisfaction guarantee

How it Works

  • Click on the “Place Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
  • Fill in your paper’s requirements in the "PAPER DETAILS" section.
  • Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
  • Click “CREATE ACCOUNT & SIGN IN” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
  • From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.