Squared Givens Rotation

1 January 1991

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 11 (1) , 1-5
https://doi.org/10.1093/imanum/11.1.1

Abstract

Given a matrix A, let U be the upper triangular matrix that results from the application of Gaussian elimination to A^TA. We develop a fast and square-root-free Givens rotation admitting the direct calculation of U from A.

Keywords

ATA
UPPER TRIANGULAR
ROOT FREE
ROTATION ADMITTING
TRIANGULAR MATRIX
GAUSSIAN ELIMINATION
FREE GIVENS
DIRECT CALCULATION
GIVENS ROTATION
SQUARE ROOT

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