Givens’ Reduction of Quaternion-Valued Matrices to Upper Hessenberg Form

Drahoslava Janovská () and Gerhard Opfer ()
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Drahoslava Janovská: Institute of Chemical Technology
Gerhard Opfer: University of Hamburg, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 510-520 from Springer

Abstract: Summary The number of real operations necessary to reduce a quaternion-valued matrix into a similar upper Hessenberg matrix by making use of quaternion-valued Givens’ transformation matrices is relatively large. Two possibilities of how to reduce the columns of a quaternion-valued matrix more effectively are presented.

Keywords: Transformation Matrice; Secular Equation; Time Reversal Symmetry; Real Operation; Normed Vector Space (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_48

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DOI: 10.1007/978-3-642-18775-9_48

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