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Ax_s = b
f(x_s+h) = f(x) + (h, Ax_s - b) + \frac{1}{2}(h, Ah)
(x_s, Ah) = (h, Ax_s)
f(x) = \frac{1}{2}(x, Ax) - (x, b)
L\vec{y}=\vec{b}