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Landweber relaxation parameter (0<τ<2/∥A∥2)

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Inverse problem Normal equation for a linear inverse problem Landweber iteration
2026-10-05  0 By others on same topic  0 Discussions Create my own version
The relaxation parameter τ controls the step in Landweber iteration. Convergence from zero to the minimum-norm least-squares solution requires 0<τ<2/∥A∥2. Thus ∥A∥<2 allows τ=1/2, while unit steps require ∥A∥<2​.

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  1. Landweber iteration
  2. Normal equation for a linear inverse problem
  3. Inverse problem
  4. Analysis
  5. Area of mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 335 / 3 / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 335 / 3 / ii / Solution

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