Chemical Engineering Numerical Methods - Optimization Experiments

Charactertizing extrema

A critical point is a saddle point if
D = fxx fyy - (fxy)2
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A function has a local minimum at a critical point when
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A function has a local maximum if
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In a system, dxdt=f(x,y),dydt=g(x,y) \frac{dx}{dt} = f(x, y), \frac{dy}{dt} = g(x, y) The Jacobian is mainly used to
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