CUDA Pro Tip: Fast and Robust Computation of Givens Rotations – NVIDIA Technical Blog News and tutorials for developers, data scientists, and IT admins 2025-03-21T20:30:26Z http://www.open-lab.net/blog/feed/ Mark Harris <![CDATA[CUDA Pro Tip: Fast and Robust Computation of Givens Rotations]]> http://www.open-lab.net/blog/parallelforall/?p=3140 2022-08-21T23:37:04Z 2014-04-29T17:59:10Z A Givens rotation [1] represents a rotation in a plane represented by a matrix of the form $latex G(i, j, \theta) = \begin{bmatrix} 1 & \cdots & 0 &...]]> A Givens rotation [1] represents a rotation in a plane represented by a matrix of the form $latex G(i, j, \theta) = \begin{bmatrix} 1 & \cdots & 0 &...GPU Pro Tip

A Givens rotation [1] represents a rotation in a plane represented by a matrix of the form , where the intersections of the th and th columns contain the values and . Multiplying a vector by a Givens rotation matrix represents a rotation of the vector in the plane by radians. According to Wikipedia, the main use of Givens rotations in numerical linear algebra is to introduce zeros in��

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