With a view to studying perturbation bounds, the class of functions f for which ∥_df_(A)∥ = ∥ f(1)(A)∥ and ∥_d_(2)f(A)∥ = ∥ f(2)(A)∥, where dkf(A) (respectively fk(A)) denotes the k-th Frechet (ordinary) derivative, k=1,2, has been investigated.
Cite this article
Vikas Bist, Harkrishan L. Vasudeva, Second Order Perturbation Bounds. Publ. Res. Inst. Math. Sci. 33 (1997), no. 1, pp. 59–71DOI 10.2977/PRIMS/1195145533