On the Definition of Two Natural Classes of Scalar Product

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Francoise (2007) On the Definition of Two Natural Classes of Scalar Product. [MIMS Preprint]

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Abstract

We identify two natural classes of scalar product, termed unitary and orthosymmetric, which serve to unify assumptions for the existence of structured factorizations, iterations and mappings. A variety of different characterizations of these scalar product classes is given. All the classical examples of scalar products, each giving rise to important classes of structured matrices, are shown to be both orthosymmetric and unitary.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
Depositing User: Dr Fran├žoise Tisseur
Date Deposited: 03 Mar 2009
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1236

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