## 2007.64: On the Definition of Two Natural Classes of Scalar Product

2007.64:
D. Steven Mackey, Niloufer Mackey and Francoise Tisseur
(2007)
*On the Definition of Two Natural Classes of Scalar Product.*

*This is the latest version of this eprint.*

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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 |
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Subjects: | MSC 2000 > 15 Linear and multilinear algebra; matrix theory |

MIMS number: | 2007.64 |

Deposited By: | Dr Françoise Tisseur |

Deposited On: | 03 March 2009 |

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- On the Definition of Two Natural Classes of Scalar Product (deposited 03 March 2009)
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