Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds

Xiao-bo Li (), Nan-jing Huang (), Qamrul Hasan Ansari () and Jen-Chih Yao ()
Additional contact information
Xiao-bo Li: Southwest Petroleum University
Nan-jing Huang: Sichuan University
Qamrul Hasan Ansari: Aligarh Muslim University
Jen-Chih Yao: China Medical University

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 3, No 9, 830-854

Abstract: Abstract In this paper, we propose the descent method with new inexact line-search for unconstrained optimization problems on Riemannian manifolds. The global convergence of the proposed method is established under some appropriate assumptions. We further analyze some convergence rates, namely R-linear convergence rate, superlinear convergence rate and quadratic convergence rate, of the proposed descent method.

Keywords: Descent method; New inexact line-search; Convergence rate; Riemannian manifolds; 65K05; 65K10; 90C48; 58E35; 49J40 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-018-1390-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:180:y:2019:i:3:d:10.1007_s10957-018-1390-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-018-1390-6

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().