Construction of generalized rotations and quasi-orthogonal matrices-Reference-Cited by-同舟云学术

Construction of generalized rotations and quasi-orthogonal matrices

Published:2019-01-01 Issue:1 Volume:7 Page:107-113
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Verde-Star Luis¹

Affiliation:

1. Department of Mathematics , Universidad Autónoma Metropolitana , Iztapalapa, Apartado 55-534, México D. F. 09340, México

Abstract

Abstract We propose some methods for the construction of large quasi-orthogonal matrices and generalized rotations that may be used in applications in data communications and image processing. We use certain combinations of constructions by blocks similar to the one used by Sylvester to build Hadamard matrices. The orthogonal designs related with the matrix representations of the complex numbers, the quaternions, and the octonions are used in our construction procedures.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2019-0010/pdf

Reference12 articles.

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