The critical exponent for continuous conventional powers of doubly nonnegative matrices

Details The critical exponent for continuous conventional powers of doubly nonnegative matrices The critical exponent for continuous conventional powers of doubly nonnegative matrices

2010-08-20

arxiv.org/abs/1008.3568v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

We prove that there exists an exponent beyond which all continuous conventional powers of n-by-n doubly nonnegative matrices are doubly nonnegative. We show that this critical exponent cannot be less than $n-2$ and we conjecture that it is always $n-2$ (as it is with Hadamard powering). We prove this conjecture when $n<6$ and in certain other special cases. We establish a quadratic bound for the critical exponent in general.

Affiliated with

Also associated with

No associations

Rating

The critical exponent for continuous conventional powers of doubly nonnegative matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The critical exponent for continuous conventional powers of doubly nonnegative matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The critical exponent for continuous conventional powers of doubly nonnegative matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188580