HOURS: TR 5:30-6:45 pm, CN 223
INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo) 644. Phone: 556-8102.
Office hours: Wed 3pm - 6pm (or by appointment)
WWW:
http://www-math.cudenver.edu/~aknyazev
Email:
aknyazev@math.cudenver.edu
TEXTBOOK:
Iterative Solution Methods. Owe Axelsson. Cambridge University Press, 1994.
F(x)=(Ax,x)/(x,x)
where x is an arbitary nonzero real vector.
(a) Find an explicit formula for the grad F(x).
Hint: Use the same approach as in the text, p. 460.
(b) Find an explicit formula for the real scalar c that gives the minimum to
F(v-c grad F(v)).
Hint: Consider F(v-c grad F(v))=f(c) as a scalar function of c
and find its minimum using the first derivative.