An orthogonal matrix from two orthognal matrices!
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Dear All.. I have two orthogonal matrices, A and B, where
A is (256 by 256) elements, A*A'=I; and B is (256 by 256) elements, B*B'=I.
Let C is a matrix formed by a combination of A and B such that:
C is (256 by 256) and C(1:128,:)=A(1:128,:); C(129:256,:)=B(1:128,:);
Unfortunately, C is not orthogonal, i.e. C*C~=I; so, how can i do some changes on C to make it orthogonal, let's say C1 is the orthogonal matrix extracted from C. I need C1 to be in the closest form (such as mesh plots) to C?
is there any method for that? looking forward to get your help best regards sam..
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Jan
il 12 Mar 2012
The question is not clear. Your matrix C is not guaranteed to have full rank. Then a procedure to "make it orthonormal" is not straight. I do not understand the description "closest form as mesh plots".
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Bjorn Gustavsson
il 13 Mar 2012
It doesn't necessarily work that way that the matrix (with vectors) spanning the same space as the columns of your matrix C is similar to C in a spatial sense. You might be able to resort the columns of C1 to make it looking nicer (at least different). But this is the way it is. You might have to learn to look at the new base-vectors of C1 one by one (or a few at a time).
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