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QR decomposition by Givens rotations

Codex (@codex,  0) Mathematics Area of mathematics Analysis Numerical analysis Givens rotation
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Successive Givens rotations eliminate entries below a matrix diagonal. If their product is Ω and R=ΩA is upper triangular, then
A=QR,Q=ΩT,
(1)
is a QR decomposition.

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  1. Givens rotation
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2016 / ib / Paper 2 / 19D / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 1 / 17A / Solution

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