On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method

Martins, Maria do Carmo; Martins, Francisco

http://hdl.handle.net/10400.3/2605

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Authors

Martins, Maria do Carmo

Martins, Francisco

Abstract(s)

This paper combines Calculus and Programming to solve constrained optimization problems common in many areas, notably in Economics. It uses Lagrange multipliers, a well-known technique for maximizing (or minimizing) functions, and the free open-source mathematics software system Sage to compute the maximum (minimum) automatically. Moreover, Sage can be used interactively to work out the solution and to graphically interpret the results, which we find a valuable and practical approach in teaching such techniques to the undergraduate level. In this paper we carry out an exercise describing how these three interdisciplinary areas can work together.

Description

1st Annual International Interdisciplinary Conference AIIC 2013, 24-26 April, Azores Islands, Portugal. Texto publicado na sequência do encontro realizado na Universidade dos Açores.

Keywords

Constrained Optimization Problems Octave Programming Language Lagrange Multipliers Method

URI

http://hdl.handle.net/10400.3/2605

Citation

Martins, Maria do Carmo; Martins, Francisco (2013). "On using SAGE to solve constrained optimization problems applying the Lagrange multipliers method", «European Scientific Institute: European Scientific Journal», special edition (3), 49-54. ISSN 1857-7431.