On infinite triangular matrices which are commutable with a banded matrix

A. Jakimovski, H. Tietz

Research output: Contribution to journalArticlepeer-review

Abstract

Given a banded matrix Ar)with the diagonal elements all different and any r subdiagonals we are looking for all triangular matrices Xr)which commute with it. We show first that Xr)can be factorized in the form = Xr)Tr)-1diagμ)Tr)where the matrix Tr)and its inverse being given explicitely. Using this factorization we get an explicit expression for the elements of the matrix Xr)and also the set of eigenvalues and eigenspaces of these matrices. In particular we get an explicit expression for the elements of the inverse matrix of a normal matri Ar).

Original languageEnglish
Pages (from-to)309-316
Number of pages8
JournalAnalysis (Germany)
Volume13
Issue number3
DOIs
StatePublished - Sep 1993

Fingerprint

Dive into the research topics of 'On infinite triangular matrices which are commutable with a banded matrix'. Together they form a unique fingerprint.

Cite this