Indices of convexity and concavity. Application to Halley method
type: Item
instance of: scholarly article
title: Indices of convexity and concavity. Application to Halley method
zbMATH Open document ID: 0981.65071
DOI: 10.1016/S0096-3003(98)10047-4
author: M. A. Salanova
author: M. A. Hernández
published in: Applied Mathematics and Computation
publication date: 2000-01-10T00:00:00Z
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 1311040
zbMATH Keywords: convex functions
zbMATH Keywords: Banach spaces
zbMATH Keywords: third-order method
zbMATH Keywords: Halley method
zbMATH Keywords: majorizing sequences
zbMATH Keywords: nonlinear operator equation
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q5728750
cites work: Results on the Chebyshev method in banach spaces
cites work: Q5562751
cites work: Some properties of convex functions of higher orders
cites work: Accessibility Of Solutions By Newton's Method
cites work: A note on Halley's method
cites work: Q4304466
cites work: Q5653524
cites work: Q3943431
cites work: Elementary differential geometry
cites work: A Unified Convergence Theory for a Class of Iterative Processes
cites work: Q3215459
cites work: Newton's method under mild differentiability conditions with error analysis
cites work: On the method of tangent hyperbolas in Banach spaces
cites work: A note on the Kantorovich theorem for Newton iteration
full work available at URL: s0096-3003(98)10047-4
OpenAlex ID: W1984215307
description: scientific article; zbMATH DE number 1311040