Inverse problems ; nonlinear ill-posed operator equations ; Newton type method ; implicit iterative method ; iteration stopping rule

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In inner loop,we use a modified conjugate gradient algorithm and a restarted technique; in outer loop, the Morozov's discrepancy principle is used as a stopping rule.

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As an application in engineering, a natural stopping rule to operational testing based on Bayesian method is proposed.

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An average cost and merging stopping rule are given in adjacentregion merging.

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The use of a 24-week retreatment stopping rule did not affect SVR rate.

使用24周停止再治療規(guī)定并未影響SVR率。

The algorithm requires the bound of the eigenvalues of the Hessian can be estimated and uses the bound to determine the stopping rule.

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And the new rule can simulate the error level of the righthand in the linearized equation nicely. Combine the new stopping rule and using the implicit iterative method in the inner iteration, we get a new method.

這個新的準則結合在內層采用隱式迭代法，由此得到的新方法與Tikhonov方法和Bakushinskii方法進行了比較360毛片视频AA，結果顯示了該方法的優(yōu)越性三级黄色片超碰免费在线观看。

Thirdly, under the condition with noαpriori smoothness, in order to obtain the optimal convergence rates, it is not practical to use theαpriori rule. And it is necessary to use the a posteriori stopping rule which not only depends on the error boundδbut also on the perturbed data y~δ.

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Base on the classical problem of the theory of optimal stopping──the secretary problem,k-th choice problem is worked out(k managers choose k secretaries ).The optimal stopping rule is given,and we proved that the optimal value of probability is the kth item of Poisson distribution with parameter k.i.e.e￣-K/k!.

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Without such detailed information, raking comes as a rescue since it requires only the knowledge of marginal distributions of selected variables. Popular as it may be, raking takes no account of associations among post-stratifying variables. Furthermore, it relies heavily on Chi-squared tests and a pre-selected p-value (usually 0.5) as the stopping rule of iteration, an ad hoc rule justified only by convenience.

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