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 ...
Taiwanese Journal of Mathematics, Vol. 24, No. 2 (April 2020), pp. 355-376 (22 pages) Let H(𝔻) denote the space of holomorphic functions on the unit disk 𝔻 of ℂ, ψ, φ ∈ H(𝔻), φ(𝔻) ⊂ 𝔻 and n ∈ ℕ ∪ ...
The input argument fun refers to an IML module that specifies a function that returns f, a vector of length m for least-squares subroutines or a scalar for other optimization subroutines. The returned ...