eigenvector for a 3-by-3 symmetric real matrix



hi, there

i wanna calculate the eigenvector to the smallest eigenvalue for a 3-
by-3 symmetric positive definite real matrix. i know it might sound
silly. however, i wanna put this stuff running on hardware. therefore,
analytic result would be best. however, it's not trivial. therefore,
maybe an iterative but fast converging algorithm will be preferred. QR
looks like too complicate either. does anyone have any better idea or
book i could refer to?

thanks a lot!

regards
zhaoyi

.



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