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A Wolfe-Type Steepest Descent Algorithm for Uncertain Quadratic Multiobjective Optimization Problems

delete2026-01-01
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PRE
AI
K
Kumar, Shubham *
D
Deep, Amar
DOI:10.5269/bspm.81660delete
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Abstract

Abstract

En 中文
This work develops a Wolfe-type steepest descent algorithm for solving uncertain quadratic multiobjective optimization problems (UQMOPs) by reformulating them into deterministic robust counterparts via objective-wise worst-case criteria. The proposed method incorporates a Wolfe-type inexact line search to obtain more efficient descent directions and improve overall convergence behavior. A Zoutendijk-type condition is established to guarantee linear convergence under standard assumptions.
Keywords:
Quadratic problem
uncertainty
multiobjective optimization
robust efficiency
steepest descent method

Journal

B
Boletim Sociedade Paranaense de Matematica
IF:
0.4
Papers:
604
Citations:
0

Organization

No organization information available
Cited Papers

Cited Papers

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PREAI
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Robust Pareto solutions for convex quadratic multiobjective optimization problems under data uncertainty
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errT. D. Chuong; V. H. Mak-Hau; J. Yearwood; R. Dazeley; M.-T. Nguyen; T. Cao
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Newton's Method for Multiobjective Optimization
err2009-01-01
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errJ. Fliege; L. M. Graña Drummond; B. F. Svaiter
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Solving Two-stage Quadratic Multiobjective Problems via Optimality and Relaxations
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PREAI
errChuong,Thai Doan; Yu,Xinghuo; Liu,Chen; Eberhard,Andrew; Li,Chaojie
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On q-Newton’s method for unconstrained multiobjective optimization problems
err2020-01-28
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PREAI
errShashi Kant Mishra; Geetanjali Panda; Md Abu Talhamainuddin Ansary; Bhagwat Ram
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A SURVEY ON MULTIOBJECTIVE DESCENT METHODS
err2014-12-01
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errOAAI
errEllen H. Fukuda; Luis Mauricio Graña Drummond
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