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I have collected several algebraic optimization problems with constraints. It is interesting to see how Lagrange multipliers form a new objective function. In addition, a subtle application of the arithmetic–geometric mean inequality can significantly speed up the solution.

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Problems and Solutions: Algebra

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  • 发表日期：

    2026年

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  • Eugene J. Zak

摘要

I have collected several algebraic optimization problems with constraints. It is interesting to see how Lagrange multipliers form a new objective function. In addition, a subtle application of the arithmetic–geometric mean inequality can significantly speed up the solution.