Explicit convex and concave envelopes through polyhedral subdivisions
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Publication:1949256
DOI10.1007/s10107-012-0581-4zbMath1273.90165OpenAlexW2080116182MaRDI QIDQ1949256
Chuanhui Xiong, Jean-Philippe P. Richard, Mohit Tawarmalani
Publication date: 6 May 2013
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10107-012-0581-4
Mixed integer programming (90C11) Nonconvex programming, global optimization (90C26) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
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Cites Work
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- Concave extensions for nonlinear 0-1 maximization problems
- Lifting inequalities: a framework for generating strong cuts for nonlinear programs
- Existence and sum decomposition of vertex polyhedral convex envelopes
- Recognition problems for special classes of polynomials in 0-1 variables
- Test examples for nonlinear programming codes
- Geometric algorithms and combinatorial optimization
- A convex envelope formula for multilinear functions
- Convex envelopes of multilinear functions over a unit hypercube and over special discrete sets
- Convex extensions and envelopes of lower semi-continuous functions
- Convex envelopes for edge-concave functions
- A polyhedral branch-and-cut approach to global optimization
- A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
- Combinatorial optimization. Polyhedra and efficiency (3 volumes)
- Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
- Global optimization of mixed-integer nonlinear programs: a theoretical and computational study
- A branch-and-cut method for 0-1 mixed convex programming
- Convex programming for disjunctive convex optimization
- Feature selection for consistent biclustering via fractional 0-1 programming
- Strong valid inequalities for orthogonal disjunctions and bilinear covering sets
- Concave envelopes of monomial functions over rectangles
- Nonlinear 0–1 programming: I. Linearization techniques
- Multiterm polyhedral relaxations for nonconvex, quadratically constrained quadratic programs
- Branching and bounds tighteningtechniques for non-convex MINLP
- Jointly Constrained Biconvex Programming
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Convex Analysis
- Global optimization of nonconvex factorable programming problems
- Analysis of bounds for multilinear functions
- Semidefinite relaxations of fractional programs via novel convexification techniques