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$\delta_n \neq \lambda_n - \lambda_{n-1}$. It is actually defined in (2.8) and (I don't know why) $\delta_2 = \lambda_2 - \lambda_1$. You can confirm it by subtracting first three lines of (2.2) from (2.3) which will give you (2.6). Section 2.1 is the convergence analysis of the algorithm, so it is okay if $\delta_1$ is not explicitly defined. Actual ...

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