In Quasi-Newton methods the Hessian matrix of second derivatives of the function to be minimized does not need to be computed. The Hessian is updated by analyzing successive gradient vectors instead.
Quasi-Newton Method. As you may remember, the slope of a function at a particular point can be computed as the first- order derivative of the function (at that point).
 See also: Likelihood, Estimation, Generalization, Distribution, Gradient descent
  
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