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DaGuy
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Joined: June 14th, 2004, 12:21 am

Solving the Matrix Equation A*P(B) = C

November 23rd, 2004, 12:39 am

I am seeking for some leads/theory/links on how to solve a matrix equation of the form A*P(B) = C. Here A and C are known square matrices and "P(B)" is an unknown polynomial in B of degree n. How do I find the "best" P(B) in some appropriate sense OLS or something else?
Last edited by DaGuy on November 22nd, 2004, 11:00 pm, edited 1 time in total.
 
User avatar
DaGuy
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Joined: June 14th, 2004, 12:21 am

Solving the Matrix Equation A*P(B) = C

November 23rd, 2004, 12:56 pm

Nevermind, I reframed my problem in a more elementary way; one were P(B) = B. Still if any of you of have some insights about problems such as the above then I'm curious to read about it. Thanks!