90Cxx Mathematical programming
This subtopic introduces the core ideas in mathematical programming, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
90C05 Linear programming
Overview
This specific topic studies linear programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Linear programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C06 Large-scale problems in mathematical programming
Overview
This specific topic studies large-scale problems in mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Large-scale problems in mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C08 Special problems of linear programming
Overview
This specific topic studies special problems of linear programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Special problems of linear programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C09 Boolean programming
Overview
This specific topic studies boolean programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Boolean programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C10 Integer programming
Overview
This specific topic studies integer programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Integer programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C11 Mixed integer programming
Overview
This specific topic studies mixed integer programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Mixed integer programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C15 Stochastic programming
Overview
This specific topic studies stochastic programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Stochastic programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C17 Robustness and sensitivity analysis of mathematical programming
Overview
This specific topic studies robustness and sensitivity analysis of mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Robustness and sensitivity analysis of mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C20 Quadratic programming
Overview
This specific topic studies quadratic programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Quadratic programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C22 Semidefinite programming
Overview
This specific topic studies semidefinite programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Semidefinite programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C23 Polynomial optimization
Overview
This specific topic studies polynomial optimization within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Polynomial optimization
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C24 Semi-infinite programming
Overview
This specific topic studies semi-infinite programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Semi-infinite programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C25 Convex programming
Overview
This specific topic studies convex programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Convex programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C26 Nonconvex programming, global optimization
Overview
This specific topic studies nonconvex programming, global optimization within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Global optimization
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C27 Combinatorial optimization
Overview
This specific topic studies combinatorial optimization within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Combinatorial optimization
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C29 Multi-objective and goal programming
Overview
This specific topic studies multi-objective and goal programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Multi-objective and goal programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C30 Nonlinear programming
Overview
This specific topic studies nonlinear programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Nonlinear programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C31 Sensitivity, stability, parametric optimization
Overview
This specific topic studies sensitivity, stability, parametric optimization within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Sensitivity, stability, parametric optimization
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C32 Fractional programming
Overview
This specific topic studies fractional programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Fractional programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C33 Complementarity and equilibrium problems and variational inequalities
Overview
This specific topic studies complementarity and equilibrium problems and variational inequalities within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Complementarity and equilibrium problems and variational inequalities
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C34 Semi-infinite programming
Overview
This specific topic studies semi-infinite programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Semi-infinite programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C35 Programming involving graphs or networks
Overview
This specific topic studies programming involving graphs or networks within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Programming involving graphs or networks
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C39 Dynamic programming
Overview
This specific topic studies dynamic programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Dynamic programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C40 Markov and semi-Markov decision processes
Overview
This specific topic studies markov and semi-markov decision processes within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Markov and semi-Markov decision processes
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C46 Optimality conditions and duality in mathematical programming
Overview
This specific topic studies optimality conditions and duality in mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Optimality conditions and duality in mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C47 Minimax problems in mathematical programming
Overview
This specific topic studies minimax problems in mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Minimax problems in mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C48 Programming in abstract spaces
Overview
This specific topic studies programming in abstract spaces within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Programming in abstract spaces
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C49 Extreme point and pivoting methods
Overview
This specific topic studies extreme point and pivoting methods within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Extreme point and pivoting methods
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C51 Interior-point methods
Overview
This specific topic studies interior-point methods within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Interior-point method
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C52 Methods of reduced gradient type
Overview
This specific topic studies methods of reduced gradient type within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Methods of reduced gradient type
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C53 Methods of quasi-Newton type
Overview
This specific topic studies methods of quasi-newton type within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Methods of quasi-Newton type
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C55 Methods of successive quadratic programming type
Overview
This specific topic studies methods of successive quadratic programming type within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Methods of successive quadratic programming type
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C56 Derivative-free methods and methods using generalized derivatives
Overview
This specific topic studies derivative-free methods and methods using generalized derivatives within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Derivative-free methods and methods using generalized derivatives
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
Overview
This specific topic studies polyhedral combinatorics, branch-and-bound, branch-and-cut within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia: Polyhedral combinatorics
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C59 Approximation methods and heuristics in mathematical programming
Overview
This specific topic studies approximation methods and heuristics in mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Approximation methods and heuristics in mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C60 Abstract computational complexity for mathematical programming
Overview
This specific topic studies abstract computational complexity for mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Abstract computational complexity for mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
Overview
This specific topic studies fuzzy and other nonstochastic uncertainty mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Fuzzy and other nonstochastic uncertainty mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C90 Applications of mathematical programming
Overview
This specific topic studies applications of mathematical programming within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Applications of mathematical programming
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
90C99 None of the above
Overview
This specific topic studies none of the above within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: None of the above
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks