Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds

Qamrul Hasan Ansari; Moin Uddin; Jen Chih Yao

doi:10.1016/j.jco.2023.101788

Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds

Qamrul Hasan Ansari^*, Moin Uddin, Jen Chih Yao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition.

Original language	English
Article number	101788
Journal	Journal of Complexity
Volume	80
DOIs	https://doi.org/10.1016/j.jco.2023.101788
State	Published - Feb 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

Convex composite optimization problems
Gauss-Newton's method
Majorant condition
Riemannian manifolds
Semilocal convergence

ASJC Scopus subject areas

Algebra and Number Theory
Statistics and Probability
Numerical Analysis
General Mathematics
Control and Optimization
Applied Mathematics

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10.1016/j.jco.2023.101788

Cite this

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title = "Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds",

abstract = "In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition.",

keywords = "Convex composite optimization problems, Gauss-Newton's method, Majorant condition, Riemannian manifolds, Semilocal convergence",

author = "Ansari, \{Qamrul Hasan\} and Moin Uddin and Yao, \{Jen Chih\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2024",

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doi = "10.1016/j.jco.2023.101788",

language = "English",

volume = "80",

journal = "Journal of Complexity",

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T1 - Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds

AU - Ansari, Qamrul Hasan

AU - Uddin, Moin

AU - Yao, Jen Chih

PY - 2024/2

Y1 - 2024/2

N2 - In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition.

AB - In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition.

KW - Convex composite optimization problems

KW - Gauss-Newton's method

KW - Majorant condition

KW - Riemannian manifolds

KW - Semilocal convergence

UR - https://www.scopus.com/pages/publications/85168725322

U2 - 10.1016/j.jco.2023.101788

DO - 10.1016/j.jco.2023.101788

M3 - Article

AN - SCOPUS:85168725322

SN - 0885-064X

VL - 80

JO - Journal of Complexity

JF - Journal of Complexity

M1 - 101788

ER -

Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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