Orthogonal matrix that reflects ℝⁿ across the hyperplane v^⊥. Choosing v = x + sign(x_1)‖x‖e_1 yields Hx = −sign(x_1)‖x‖e_1: a single reflection zeros out all but the first coordinate. Building block of backward-stable QR and…
Orthogonal matrix that reflects ℝⁿ across the hyperplane v^⊥. Choosing v = x + sign(x_1)‖x‖e_1 yields Hx = −sign(x_1)‖x‖e_1: a single reflection zeros out all but the first coordinate. Building block of backward-stable QR and…