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What is the name of the transformation H = I - 2vv^T (where v is a unit vector) used to reflect a vector across a plane?

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Householder transformation

Householder transformations are more numerically stable than Gram-Schmidt for performing QR decomposition. They are reflections rather than projections, preserving the norm of the vectors they transform.

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  • What is the name of the reflection across a plane defined by the formula H = I - 2vv^T, where v is a unit vector?

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