On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach
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Publication:905750
DOI10.1007/s10898-014-0201-3zbMath1332.90251OpenAlexW2126434943MaRDI QIDQ905750
Christophe Jermann, Laurent Granvilliers, Benjamin T. Martin, Alexandre Goldsztejn
Publication date: 28 January 2016
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-014-0201-3
Related Items (8)
Numerical certification of Pareto optimality for biobjective nonlinear problems ⋮ Constructing the Pareto front for multi-objective Markov chains handling a strong Pareto policy approach ⋮ A Newton-type proximal gradient method for nonlinear multi-objective optimization problems ⋮ An Image Set-Oriented Method for the Numerical Treatment of Bi-Level Multi-objective Optimization Problems ⋮ Constraint propagation using dominance in interval branch \& bound for nonlinear biobjective optimization ⋮ Nonlinear biobjective optimization: improving the upper envelope using feasible line segments ⋮ Nonlinear biobjective optimization: improvements to interval branch \& bound algorithms ⋮ Tracing Locally Pareto-Optimal Points by Numerical Integration
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Global search perspectives for multiobjective optimization
- The normalized normal constraint method for generating the Pareto frontier
- Constructing a Pareto front approximation for decision making
- Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques
- Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems
- Triangulating smooth submanifolds with light scaffolding
- PAINT: Pareto front interpolation for nonlinear multiobjective optimization
- Scalarizations for adaptively solving multi-objective optimization problems
- A new framework for sharp and efficient resolution of NCSP with manifolds of solutions
- Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems
- Nonlinear multiobjective optimization
- Nonlinear multiobjective optimization. A generalized homotopy approach
- Generating well-distributed sets of Pareto points for engineering design using physical programming
- A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization
- Equispaced Pareto front construction for constrained bi-objective optimization
- A modified standard embedding with jumps in nonlinear optimization
- Approximation methods in multiobjective programming
- A new robust algorithm to trace curves
- Certified Numerical Homotopy Tracking
- A Complementarity Constraint Formulation of Convex Multiobjective Optimization Problems
- Singular Continuation: Generating Piecewise Linear Approximations to Pareto Sets via Global Analysis
- Multi-Objective Control-Structure Optimization via Homotopy Methods
- Algorithm 852
- Interval Methods for Systems of Equations
- Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
- An Interval Step Control for Continuation Methods
- Introduction to Numerical Continuation Methods
- Numerical Continuation and Singularity Detection Methods for Parametric Nonlinear Programming
- Multicriteria Optimization
- Certified Parallelotope Continuation for One-Manifolds
- Generalized homotopy approach to multiobjective optimization.
- States and structure of von Neumann algebras
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