Linear fractional optimization problems on Jordan Euclidean algebras

DOI10.23952/jnva.6.2022.2.05OpenAlexW4312615474MaRDI QIDQ5088834

Gwi Soo Kim, Moon Hee Kim, Gue Myung Lee

Publication date: 13 July 2022

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.6.2022.2.05

zbMATH Keywords

optimality conditionsEuclidean Jordan algebrastrong duality theoremweak duality theoremlinear fractional optimization problem

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Related Items (1)

Optimality theorems for linear fractional optimization problems involving integral functions defined on Cn [0,1]

Cites Work

• New complexity analysis for primal-dual interior-point methods for self-scaled optimization problems
• Fractional programming - a survey
• A simple characterization of solutions sets of convex programs
• Linear systems in Jordan algebras and primal-dual interior-point algorithms
• Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs
• The dual of a fractional linear program
• A duality theorem for non-linear programming
• New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs
• Programming with linear fractional functionals
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