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Everything about Square root algorithms

Algorithms for calculating square roots

Square root algorithms compute the non-negative square root of a positive real number . Since all square roots of natural numbers, other than of perfect squares, are irrational, square roots can usually only be computed to some finite precision: these algorithms typically construct a series of increasingly accurate approximations. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Square root algorithmsA 5-minute orientation
  2. Skim a recent paper: Algorithms for Square Root of Semi-Infinite Quasi-Toeplitz M-MatricesInfluential work since 2022
  3. Pick up a classic book: Comparative analysis of operational forecasts vs. actual weather conditions in airline flight planningThe most-reprinted book on the subject
  4. Read the landmark paper: Square-root algorithms for least-squares estimationCited 195 times
  5. Go sideways: Aitken's delta-squared processA closely related topic
  6. Go sideways: Newton's methodA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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