Math Help Forum - View Single Post - Gradient method problems

trante · #5 January 2nd, 2009, 03:41 PM

*Q1 Show the direction vectors are perpendicular to each other in the Steepest Descent Method;
that is $g_{k+1}^t * g_k=0$

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 $\theta$ .
In vector multiplication $A*B=AB*cos \theta$
Because of $cos(90)=0$ the answer is 0.

But how can i relate it with steepest descent??