JournalsprimsVol. 33 , No. 1DOI 10.2977/prims/1195145533

Second Order Perturbation Bounds

  • Vikas Bist

    Panjab University, Chandigarh, India
  • Harkrishan L. Vasudeva

    Panjab University, Chandigarh, India
Second Order Perturbation Bounds cover

Abstract

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.