On the generalized trace ratio problem

DOI10.1080/02331934.2022.2072218OpenAlexW4229078331MaRDI QIDQ6062858

Jin-Yang Zheng, Yong Xia, Mei-Jia Yang

Publication date: 6 November 2023

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2022.2072218

zbMATH Keywords

Stiefel manifoldoptimality conditionhidden convexityconvex hull representationtrace ratio problem

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Fractional programming (90C32)

Cites Work

• Superlinear convergence of a general algorithm for the generalized Foley-Sammon discriminant analysis
• A note on the trace quotient problem
• A survey for the quadratic assignment problem
• Recent advances in the solution of quadratic assignment problems
• A survey of hidden convex optimization
• Perturbation analysis for the trace quotient problem
• Fast Algorithms for the Generalized Foley–Sammon Discriminant Analysis
• The Trace Ratio Optimization Problem for Dimensionality Reduction
• CONVEX HULL PRESENTATION OF A QUADRATICALLY CONSTRAINED SET AND ITS APPLICATION IN SOLVING QUADRATIC PROGRAMMING PROBLEMS
• On the Sum of the Largest Eigenvalues of a Symmetric Matrix
• A generalized Foley–Sammon transform based on generalized fisher discriminant criterion and its application to face recognition
• Programming with linear fractional functionals
• Some convexity theorems for matrices

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