Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

On square roots and norms of matrices with symmetry properties

Brunnock, Rochelle, Lettington, Matthew C. and Schmidt, Karl Michael 2014. On square roots and norms of matrices with symmetry properties. Linear Algebra and its Applications 459 , pp. 175-207. 10.1016/j.laa.2014.06.054

[img]
Preview
PDF - Accepted Post-Print Version
Download (2MB) | Preview

Abstract

The present work concerns the algebra of semi-magic square matrices. These can be decomposed into matrices of specific rotational symmetry types, where the square of a matrix of pure type always has a particular type. We examine the converse problem of categorising the square roots of such matrices, observing that roots of either type occur, but only one type is generated by the functional calculus for matrices. Some explicit construction methods are given. Moreover, we take an observation by N.J. Higham as a motivation for determining bounds on the operator p-norms of semi-magic square matrices.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Matrix rings; Matrix norms; Matrix square roots; Magic squares
Publisher: Elsevier
ISSN: 0024-3795
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 29 June 2014
Last Modified: 28 Jun 2019 19:36
URI: http://orca.cf.ac.uk/id/eprint/62017

Citation Data

Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics