Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices

Details Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices

2012-01-24

arxiv.org/abs/1201.5055v1

Mathematics

Numerical Analysis

27 pages; Conference "Directions in Matrix Theory 2011", July 2011, University of Coimbra, Portugal

Scientific paper

Our contribution is two-folded. First, starting from the known fact that every real skew-Hamiltonian matrix has a real Hamiltonian square root, we give a complete characterization of the square roots of a real skew-Hamiltonian matrix W. Second, we propose a structure exploiting method for computing square roots of W. Compared to the standard real Schur method, which ignores the structure, our method requires significantly less arithmetic.

Affiliated with

Also associated with

No associations

Rating

Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian 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 Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-107467