Factorization algorithm for some special non-rational matrix functions

We construct an algorithm that allows us to determine an effective generalized factorization of a special class of matrix functions. We use the same algorithm to analyze the spectrum of a self-adjoint operator which is related to the obtained generalized factorization.

Bibliographic Details
Main Author: Conceição, Ana C. (author)
Other Authors: Kravchenko, Viktor (author), Pereira, José (author)
Format: bookPart
Language:eng
Published: 2020
Online Access:http://hdl.handle.net/10400.1/14633
Country:Portugal
Oai:oai:sapientia.ualg.pt:10400.1/14633
Description
Summary:We construct an algorithm that allows us to determine an effective generalized factorization of a special class of matrix functions. We use the same algorithm to analyze the spectrum of a self-adjoint operator which is related to the obtained generalized factorization.