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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