Hessenberg decomposition of matrix fields and bounded operator fields

Details Hessenberg decomposition of matrix fields and bounded operator fields Hessenberg decomposition of matrix fields and bounded operator fields

2009-06-14

arxiv.org/abs/0906.2543v1

Mathematics

Spectral Theory

25 pages

Scientific paper

Hessenberg decomposition is the basic tool used in computational linear algebra to approximate the eigenvalues of a matrix. In this article, we generalize Hessenberg decomposition to continuous matrix fields over topological spaces. This works in great generality: the space is only required to be normal and to have finite covering dimension. As applications, we derive some new structure results on self-adjoint matrix fields, we establish some eigenvalue separation results, and we generalize to all finite-dimensional normal spaces a classical result on trivial summands of vector bundles. Finally, we develop a variant of Hessenberg decomposition for fields of bounded operators on a separable, infinite-dimensional Hilbert space.

Affiliated with

Also associated with

No associations

Rating

Hessenberg decomposition of matrix fields and bounded operator fields 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 Hessenberg decomposition of matrix fields and bounded operator fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hessenberg decomposition of matrix fields and bounded operator fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341922