Lagrange multipliers, adjoint equations, the Pontryagin maximum principle and heuristic proofs

被引：1

作者：

Ollerton, Richard L. ^{[1
]}

机构：

[1] Univ Western Sydney, Sch Comp Engn & Math, Kingswood, NSW 2747, Australia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2013年 / 44卷 / 04期

关键词：

Lagrange multipliers; adjoint equations; dynamic programming; Pontryagin maximum principle; static constrained optimization; heuristic proof;

D O I：

10.1080/0020739X.2012.742154

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Deeper understanding of important mathematical concepts by students may be promoted through the (initial) use of heuristic proofs, especially when the concepts are also related back to previously encountered mathematical ideas or tools. The approach is illustrated by use of the Pontryagin maximum principle which is then illuminated by reference to a constrained static optimization problem.

引用

页码：609 / 614

页数：8

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