OurBigBook.comSite Source code

Projection onto the second-order cone

For

x = (u, t)

and

ρ = ∥ u ∥_{2}

,

Π_{L_{p + 1}} (u, t) = ⎩ ⎨ ⎧ (u, t), (0, 0), \frac{1}{2} (1 + \frac{t}{ρ}) (u, ρ), ρ \leq t, ρ \leq - t, ρ > ∣ t ∣.

 Ancestors (6)

 Incoming links (1)

Solution