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interior point method
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interior point method

mathematics
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Quick Summary

The interior point method is a mathematical approach used in linear programming to find the optimal solution to a problem. Linear programming involves maximizing or minimizing a linear function subject to various constraints, which are expressed as inequalities.

Developed by Narendra Karmarkar in 1984, the interior point method is a polynomial-time algorithm. This means the number of computational steps grows as a power of the number of variables, rather than exponentially. This allows for the solution of complex problems that were previously inaccessible. The method proved competitive with the established simplex method and is a significant advancement in optimization techniques.12

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2 Britannica Sources
  1. optimization - The simplex method
  2. linear programming

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