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Self-Concordant Functions for Optimization on Smooth Manifolds

Date

Authors

Jiang, Danchi

Moore, John

Ji, Huibo

Publisher

Springer

Abstract

This paper discusses self-concordant functions on smooth manifolds. In Euclidean space, such functions are utilized extensively as barrier functions in interior-point methods for polynomial time optimization algorithms. Here, the self-concordant function

Keywords

Keywords: Algorithms; Geodesy; Global optimization; Newton-Raphson method; Polynomials; Covariant differentials; Damped Newton method; Polynomial algorithms; Self-concordant functions; Functions Covariant differentials; Damped Newton method; Geodesics; Polynomial algorithms; Self-concordant functions

URI

http://hdl.handle.net/1885/29864

Collections

ANU Research Publications

Source

Journal of Global Optimization

Type

Journal article

DOI

10.1007/s10898-006-9095-z

Restricted until

2037-12-31

Downloads

File

Description

01_Jiang_Self-Concordant_Functions_for_2007.pdf (269.03 KB)