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Everything about Levinson recursion

Recursive algorighm in linear algebra

Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz matrix. The algorithm runs in Θ(n2) time, which is a strong improvement over Gauss–Jordan elimination, which runs in Θ(n3). Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Levinson recursionA 5-minute orientation
  2. Pick up a classic book: MATLAB software for the code excited linear prediction algorithmThe most-reprinted book on the subject
  3. Read the landmark paper: A Levinson-Durbin recursion for autoregressive-moving average processesCited 33 times
  4. Go sideways: Toeplitz matrixA closely related topic
  5. Go sideways: Linear predictionA closely related topic

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  1. Derivation
  2. Block Levinson algorithm

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