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Scholars Bulletin (SB)
Volume-6 | Issue-04 | 98-104
Subject Category: Mathematical Economics
Application of Object-Oriented Mathematical Modeling and Computer Algebra in Mathematical Economic Analysis
Dr. R. Seenivasan
Published : April 30, 2020
DOI : 10.36348/sb.2020.v06i04.003
Abstract
This research paper, we present the first programming environment and modeling language which integrates inheritance within a computer algebra language. This environment and language, called Object Math (Object oriented Mathematical language for scientific computing), is currently being used for industrial applications in advanced mathematical economic analysis, but is generally applicable to other areas. Using Object Math, it is possible to model classes of equation objects, to support inheritance of equations, and to solve systems of equations. The Object Math environment is designed to handle realistic problems. This is achieved by allowing the user to specify transformations and simplifications of formulae in the model, in order to arrive at a representation which is efficiently solvable. Such algebraic transformations can conveniently be supported since Object Math models are translated into the Mathematica computer algebra language. When necessary, equations can be transformed to C++ code for effic.
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