A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.

对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。

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Based on internal algorithm, a generalized variable metric projection internal algorithm for nonlinear programming with linear constraints and the convergence proof are given.

基于内点算法的思想，利用广义投影技术构造了一求解线性约束的非线性规划问题的变尺度方向内点算法，并给出了其收敛性证明。

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This act would be my pièce de résistance, the existential proof that love was the answer, the convergence of art, romance and technology that would make everything beautiful.

这个行动是我对现实的抵抗，是爱情力量的现实证据，是艺术的集中体现，浪漫和科技可以让所有事情变得美妙。

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Mr Zapatero's determination to avoid general strikes is proof that he will never take a difficult decision, says Artur Mas, head of the Catalan Convergence and Union coalition.

ECONOMIST: Spain's economic woes