The paper derives exact univariate interpolation conditions for second-order function classes and uses them to improve and certify worst-case guarantees for Newton-type methods.
Journal of Optimization Theory and Applications 202(1), 475–496 (2024)
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Performance Estimation of second-order optimization methods on classes of univariate functions
The paper derives exact univariate interpolation conditions for second-order function classes and uses them to improve and certify worst-case guarantees for Newton-type methods.