In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

Technology Artificial Intelligence AI can handle tasks twice as complex every few months. What does this exponential growth mean for how we use it?

This paper provides a numerical technique for determining the parameters in a model expressible as the sum of exponentials. The essence of the method is to rewrite the model so that after ...