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Need some eigen vector help

Forum Old Man/Woman's Club : Other - Need some eigen vector help

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Ok, simulation's almost done of the funked out quantum algorithm for computing eigen values, and I need some sample ones to test it. What I need are varying size matricies (try to keep em small tho, 5x5 or 6x6 preferably, and maybe some larger ones for later....as of now, it runs in superpolynomial time on classic comp, so it's verrrrry slow on classical computer). What I need are matricies with eigen vectors and their eigen values (the full eigen spectrum of em would be nice, but could get too big...).
Thanks a lot! (way this works is I get an approximate eigen vector and then b/c quantum calculate all the eigen vectors and eigen values at once, effectively creating an eigen spectrum and then showing em).

The one and only "Monstrous BULLgarian!"

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And to make it more simple, preferably matricies of integers and vectors of integers (eigenvalue itself can be any real number).

The one and only "Monstrous BULLgarian!"

Reply to Flamethrower205

Trying to find the eigenvectors of a 6x6 matrix is very difficult as you have to solve a polynomial of degree 6... I'm sure google will be able to help you... search for "matrix eigenvector 5x5" or something. I've already found a few 3x3 matrices and their eigenvectors.

Some day I'll be rich and famous for inventing a device that allows you to stab people in the face over the internet.

Reply to silverpig

er, that should read eigenvalues

Some day I'll be rich and famous for inventing a device that allows you to stab people in the face over the internet.

Reply to silverpig

I used some matlab, but no integers come out hehe. Also trying checking how much the eigenvector can be changed (ie how bad of an approximation) and still get a good result.

The one and only "Monstrous BULLgarian!"

Reply to Flamethrower205

Here's a matrix that has nice eigenvalues. 4 and sqrt(3)*i are your eigenvalues if I'm not mistaken.

10 -9 0 0
4 -2 0 0
0 0 -2 -7
0 0 1 2

Some day I'll be rich and famous for inventing a device that allows you to stab people in the face over the internet.

Reply to silverpig

Cool, thx, will try it!

The one and only "Monstrous BULLgarian!"

Reply to Flamethrower205
Tom's Hardware > Forum > Old Man/Woman's Club > Other > Need some eigen vector help
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