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Applications of symmetric derivatives in mathematical programming
Mathematical Programming, 1971In recent times the Kuhn—Tucker optimality conditions and the duality theorems for convex programming have been extended by generalizations of the convexity concept. In this paper the notion of a symmetric derivative for a function of several variables is introduced and used to provide extensions of some fundamental optimality and duality theorems of ...
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A language for high-level programming of mathematical applications
Proceedings. 1988 International Conference on Computer Languages, 2003A language system called the Automated Programmer automates a great deal of routine effort for scientific, engineering, and mathematical application programming. Its notation is modeled after conventional textbook mathematical representation, so that mathematical expressions can be entered just as they appear in conventional solution specifications. It
Fred Grossman +2 more
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The application of a symbolic mathematical system to program verification
Proceedings of the 1974 annual conference on - ACM 74, 1974Program verification is a relatively new application area for symbolic mathematical systems. We report on an interactive program verification system, based on the inductive assertion method, which system is implemented using an existing symbolic mathematical language and supporting system, Reduce. Reduce has been augmented with a number of capabilities
Ralph L. London, David R. Musser
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A Comparative Study of Multifunction Differentiability with Applications in Mathematical Programming
Mathematics of Operations Research, 1991A unified treatment of various notions of tangency for sets and differentiability for multifunctions is presented. These results are then applied to study first and second order differentiability properties of metric projections and to some applications in mathematical programming.
Alfred Auslender, Roberto Cominetti
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Defense Applications of Mathematical Programs with Optimization Problems in the Constraints
Operations Research, 1974Bracken and McGill have discussed the theory, computations, and an example of mathematical programming models with optimization problems in the constraints [Opns. Res. 21, 37–44 (1973)], and have presented a computer program for solving such models with nonlinear programs in the constraints [Opns. Res. 22, 1097–1101 (1974)].
Jerome Bracken, James T. McGill
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An application of mathematical programming to sample allocation
Computational Statistics & Data Analysis, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valliant, Richard, Gentle, James E.
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Application of mathematical programming in planning of human diets
ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1990Mathematical programming models have been developed to find utility maximized nutritious diets. The utility maximized diets have been shown to be more practical, more realistic, and less costly than the non-utility maximized diets. In this study we further increase the desirability of diets by gradually softening those nutrients which have been ...
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Application of mathematical programming to system reliability
Structural Safety, 1990Abstract This paper provides a brief review of mathematical programming as it relates to applications in structural system analysis. The linear programming equations for a rigid-plastic system are presented, and other aspects are discussed in a descriptive form, with references given to recently published work by the authors.
Ross B. Corotis, Avinash M. Nafday
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Applications of Mathematical Programming-Before, Now and After
The Journal of the Operational Research Society, 1985Linear programming and its variants have been used for over 30 years, and during this time there have been technological and theoretical developments which have given the modeller enormous computer power and flexibility. Have these been matched in application—are the models being used?
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Mathematical Optimization and Application of Nonlinear Programming
2021This chapter deals with mathematical optimization, focusing on the special role of convex optimization and nonlinear optimization for solving optimization problems. Optimization problems are highly significant at proposals of technological processes as well as projecting engineering objects, their realization and during their operation.
Alena Vagaská, Miroslav Gombár
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