Yes, in this problem you can use (u,v)=(0,0) from part (a).
||(∆u,∆v)||=0.5 means that the step size

.
In the chapter we considered two step sizes. First where the step size was fixed at

. Second where the step size is proportional to the norm of the gradient. Here, for part (b) the step size is fixed at 0.5.
Quote:
Originally Posted by rpistu
Yes, E1 is a function of ∆u, ∆v, but it is also a function of u, v. Then, what is the u, v in this function? Still use (0, 0) as part (a) said? Also, what is the ininital value of ∆u, ∆v? In the textbook, it sets w to w(0) at step 0.
Further, does the norm ||(∆u,∆v)||=0.5 means that for each iteration we should ensure that the values of ∆u,∆v meet this resuirements? Another point is that in textbook, we need specify the step size ɧ. However, we could not see any information about the step size.
I don't quite understand the description of the question (Problem 3.17b), so I have so many questions. Could you probably clarify it for me?
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