Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Consider a rank-1 matrix composed by the outer product of two vectors: xy^T. Then make a symmetric one from it: reflect the right upper part onto the lower left one.

I am interested in inverting it. Can you please reference to an appropriate paper?

Does such a matrix have a special name? It would help for googling.

Thanks!

share|improve this question
3  
Look for semi-separable matrix. The inverse of a tri-diagonal matrix is a semi-separable matrix with separable rank (of the off-diagonal blocks) being $1$. The inverse in your case is a tri-diagonal matrix. –  user17762 Aug 30 '12 at 11:59
    
Thanks for "semi-separable", that's the name! –  Konstantin Aug 30 '12 at 12:31
add comment

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.