Elementary reflection operator

• Vector $\mathbf w$ defining linear functional $\mathbf w^{\scriptscriptstyle\mathsf{T}}$ (move this by dragging the head of the arrow)
• Vector $\mathbf z$ NOT in hyperplane $\operatorname{NS}(\mathbf w^{\scriptscriptstyle\mathsf{T}})$ (move this by dragging the head of the arrow)
• Reflection operator is $W = I - \frac2{\mathbf w^{\scriptscriptstyle\mathsf{T}} \mathbf z} \mathbf z \mathbf w^{\scriptscriptstyle\mathsf{T}}$
• Input vector $\mathbf v$ (move this by dragging the head of the arrow)
• Output vector $W\mathbf v$ (automatically computed for your convenience)

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