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

Richard L. Ollerton

doi:10.1080/0020739X.2012.742154

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

Richard L. Ollerton

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	609-614
Number of pages	6
Journal	International Journal of Mathematical Education in Science and Technology
Volume	44
Issue number	4
DOIs	https://doi.org/10.1080/0020739X.2012.742154
Publication status	Published - 2013

Keywords

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

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10.1080/0020739X.2012.742154

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

abstract = "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.",

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KW - Pontryagin maximum principle

KW - adjoint equations

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KW - heuristic proof

KW - lagrange multipliers

KW - static constrained optimization

UR - http://handle.uws.edu.au:8081/1959.7/528295

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JO - International Journal of Mathematical Education in Science and Technology

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

Abstract

Keywords

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