I have three questions as a take home exam in my course. (Worried)

Do you know the answers?

(Problems in the jpeg file)

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- Jan 1st 2009, 03:01 AMtranteGradient method problems - steepest conjugate etc.
I have three questions as a take home exam in my course. (Worried)

Do you know the answers?

(Problems in the jpeg file) - Jan 1st 2009, 03:18 AMmr fantastic
- Jan 1st 2009, 04:48 AMmr fantastic
- Jan 1st 2009, 06:23 AMTheMasterMind
- Jan 2nd 2009, 01:41 PMtranteSteepest descent
***Q1***Show the direction vectors are perpendicular to each other in the Steepest Descent Method;*$\displaystyle g_{k+1}^t * g_k=0$

that is

I know that in steepest descent, the algorithm makes zigzags.

If one vector is A and the other is B.

And the angle between them is $\displaystyle \theta$.

In vector multiplication $\displaystyle A*B=AB*cos \theta$

Because of $\displaystyle cos(90)=0$ the answer is 0.

But how can i relate it with steepest descent??