say , where are column vectors. is a column vector. Now I have the a polynomial . Is it possible to express this polynomial in a form of Y and a?

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- Sep 29th 2010, 09:00 PMbrakepadMatrix expression question
say , where are column vectors. is a column vector. Now I have the a polynomial . Is it possible to express this polynomial in a form of Y and a?

- Sep 30th 2010, 06:20 AMHallsofIvy
Try

- Sep 30th 2010, 06:54 AMbrakepad
You mean ? No, that's not right.

- Sep 30th 2010, 06:55 AMAckbeet
Reply to HallsofIvy:

I'm not sure I agree that that will work.

Is that necessarily equal to the desired expression? I'm not sure. I think you're going to have to use some sort of component-wise multiplication. Define the vector

by

Then you could write the desired expression as - Sep 30th 2010, 07:13 AMbrakepad
I am not sure defining this vector can solve my problem. I wanted the polynomial in a matrix form because I need to do contained optimization with

- Sep 30th 2010, 07:14 AMAckbeet
Why don't you post your original question in full?

- Sep 30th 2010, 10:33 AMbrakepad
Thank you for all your reply. I think I found a way to work around it. My problem is try to minimize the objective function . and are variable vectors. I tried to solve first then , which gave me the question in this thread. Now I solve first, then has a closed form solution.

- Sep 30th 2010, 10:48 AMAckbeet
Well, if you've solved your problem, that's great! Have a good one.