SMRTR Science & EngineeringMar 25, 2025Interesting Engineering

Researchers unlock new potential in Newton’s method, 300 years after its creation

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Newton's method has been enhanced by Ahmadi, Chaudhry, and Zhang to handle more complex functions with multiple variables and higher derivatives. They modified the Taylor expansion to make it convex and a sum of squares, improving convergence to a function's minimum. Although computationally intensive, this improved version could potentially replace traditional Newton's method in various applications as technology progresses.

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