Newton's Derivation

The equation can be easily proved if we recall the gradient of the performance surface

NEURAL AND ADAPTIVE SYSTEMS00000196.gif

left multiply by RNEURAL AND ADAPTIVE SYSTEMS00000108.gif to obtain

NEURAL AND ADAPTIVE SYSTEMS00000197.gif

and then substitute in the optimal solution Eq. 1.28 to obtain

NEURAL AND ADAPTIVE SYSTEMS00000198.gif

From this equation we can derive the incremental equation presented previously.

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