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Everything about ITP method

Root-finding algorithm

In numerical analysis, the ITP method is the first root-finding algorithm that achieves the superlinear convergence of the secant method while retaining the optimal worst-case performance of the bisection method. It is also the first method with guaranteed average performance strictly better than the bisection method under any continuous distribution. In practice it performs better than traditional interpolation and hybrid based strategies, since it not only converges super-linearly over well behaved functions but also guarantees fast performance under ill-behaved functions where interpolations fail. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: ITP methodA 5-minute orientation
  2. Skim a recent paper: Refractory primary immune thrombocytopenia (ITP): current clinical challenges and therapeutic perspectivesInfluential work since 2022
  3. Pick up a classic book: Relato de un náufragoThe most-reprinted book on the subject
  4. Read the landmark paper: The ITP syndrome: pathogenic and clinical diversityCited 678 times
  5. Go sideways: Regula falsiA closely related topic
  6. Go sideways: Secant methodA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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