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BY 4.0 license Open Access Published by De Gruyter Open Access September 13, 2019

Construction of generalized rotations and quasi-orthogonal matrices

  • Luis Verde-Star EMAIL logo
From the journal Special Matrices


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.


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Received: 2019-04-02
Accepted: 2019-08-26
Published Online: 2019-09-13

© 2019 Luis Verde-Star, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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