Newton's method might find an unintended root or optimum because there is no guarantee of which root the algorithm will find. Depending on the initial guess and the shape of the function, it may converge to a different zero or stationary point than intended, such as finding a minimum when looking for a maximum.
Conditions: The function has multiple relevant roots or stationary points.; The initial guess does not ensure selection of a particular target.
Newton's method might find an unintended root or optimum because there is no guarantee of which root the algorithm will find. Depending on the initial guess and the shape of the function, it may converge to a different zero or stationary point than intended, such as finding a minimum when looking for a maximum.
Conditions: The function has multiple relevant roots or stationary points.; The initial guess does not ensure selection of a particular target.