Karmarkar's algorithm

Karmarkar's algorithm is an advanced method for solving linear programming problems, which involve optimizing a linear objective function subject to linear constraints. Developed by Narendra Karmarkar in 1984, this algorithm efficiently finds the best solution by redefining the problem in a different mathematical space, allowing it to navigate the feasible region more effectively. It is particularly notable for its speed and performance compared to previous methods, especially for large-scale problems. Karmarkar's approach has significantly influenced operations research and optimization, showcasing the power of innovative mathematical techniques in problem-solving.