Regmi, S.Argyros, C.I.Argyros, I.K.George, S.2026-02-042022Applied Mathematics E - Notes, 2022, 22, , pp. 273-28016072510https://idr.nitk.ac.in/handle/123456789/22759We use a weaker Newton—Kantorovich theorem for solving equations, introduced in [3] to analyze interior point methods. This way our approach extends earlier works in [6] on Newton’s method and interior point algorithms. © 2022, Tsing Hua University. All rights reserved.Extended Newton’s Method With Applications To Interior Point Algorithms Of Mathematical Programming∗