I have three questions as a take home exam in my course.
Do you know the answers?
(Problems in the jpeg file)
*Q1 Show the direction vectors are perpendicular to each other in the Steepest Descent Method;
that is $\displaystyle g_{k+1}^t * g_k=0$
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??