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The algebraic interpretation of this iteration is obtained by solving
:<math>g(x)=1-\frac{\alpha}{{f(x)}}=0.</math>
This one-point second-order method is known to show a locally quadratic convergence if the root of the equation is simple.
SRA strictly implies this one-point second-order interpolation by a simple rational function.
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| title = The spectrum of a modified linear pencil
| volume = 46
| year = 2003
}}.
*{{citation
| last1 = Gu | first1 = Ming
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| title = A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
| volume = 16
| year = 1995| url = https://zenodo.org/record/1236142
}}.
*{{citation
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