Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.


I'd like to compute the geometric mean of several affine transformations (e.g. represented by 4x4 affine matrices). Going a step back, what's the geometric mean of n 3x3 matrices (with det > 0, basically representing rotations,scaling, shearing but no flips or projections).

I have seen many definitions for pos def. matrices and some work on SO(3) but not for linear or affine transforms.

share|cite|improve this question
Going another step back, what does "geometric mean" mean for matrices? – Igor Rivin Apr 3 '12 at 2:00
Do these matrices live in a nice differentiable manifold? – Suvrit Apr 5 '12 at 20:15

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.