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Mathematics
Linear and Abstract Algebra
General form of symmetric 3x3 matrix with only 2 eigenvalues
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[QUOTE="odietrich, post: 5469643, member: 585568"] Thanks for your suggestion! I think that the resulting parameters are very similar to another set of 4 numbers (that I had considered before, but didn't mention in my question above): the eigenvector of ##a## multiplied by ##a## and the eigenvalue ##b##? I tried least-squares fitting with these (latter) parameters as well, but this didn't work better than using ##(a,b,\theta,\phi)##. Somehow, fitting based on the (first) eigenvector (either in the form ##(\theta,\phi)## or in the form of a scaled 3-component eigenvector) is considerably worse than fitting with the (non-diagonalized) symmetric matrix ##\mathbf{S}## from above. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
General form of symmetric 3x3 matrix with only 2 eigenvalues
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