Vector interpretation of the matrix orthogonality on the real line

Details Vector interpretation of the matrix orthogonality on the real line Vector interpretation of the matrix orthogonality on the real line

2009-10-09

arxiv.org/abs/0910.1737v2

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix orthogonality. These systems of orthogonal polynomials satisfy three-term recurrence relations with matrix coefficients that do not obey to any type of symmetry. In this sense the vectorial reinterpretation allows us to study a non-symmetric case of the matrix orthogonality. We also prove that our systems of polynomials are indeed orthonormal with respect to a complex measure of orthogonality. Approximation problems of Hermite-Pad\'e type are also discussed. Finally, a Markov's type theorem is presented.

Affiliated with

Also associated with

No associations

Rating

Vector interpretation of the matrix orthogonality on the real line 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 Vector interpretation of the matrix orthogonality on the real line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vector interpretation of the matrix orthogonality on the real line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51482