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Rayleigh quotient ( $R [ψ]$ )

For a self-adjoint operator

H

, the Rayleigh quotient is

R [ψ] = \frac{⟨ ψ ∣ H ∣ ψ ⟩}{⟨ ψ ∣ ψ ⟩} .

For a symmetric matrix this reduces to

x^{T} A x / (x^{T} x)

.

Table of contents 251 6
- Rayleigh quotient iteration Rayleigh quotient 28
- Rayleigh-Ritz variational principle Rayleigh quotient 203 4

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