以下为句子列表：
英文: A descent algorithm for solving unconstrained optimization is discussed. Global convergence result is established with inexact line search.
中文: 摘要研究了求解无约束优化问题的一种共轭下降算法，并在非精确线搜索条件下证明了该算法的全局收敛性。
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英文: In this paper we reformulate GCP a sasystem of nonlinear equations, and the GCP is reformulated as unconstrained optimization problem, as for the optimization problem, the damped Gauss-Newton Method algorithm of two kinds of steps is employed for obtainin
中文: 摘要本文将广义互补问题转化为一个非线性方程组问题，然后建立了GCP问题的无约束优化问题的转化形式，对该优化问题，用两种步长下的阻尼高斯牛顿算法来求解，并给出了两种情况下算法的全局收敛性。
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英文: The topics covered in this course include: unconstrained optimization methods, constrained optimization methods, convex analysis, Lagrangian relaxation, nondifferentiable optimization, and applications in integer programming.
中文: 这门课程的主题包括：无限制最适化方法，限制最适化方法，凸分析，拉格朗日松弛法，不可微分函数最适化，以及在整数规划上的应用。
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英文: By constructinga new mathematic model, the protein folding problem of three-dimensional AB model is converted from a nonlinear constraint-satisfied problem to an unconstrained optimization problem.
中文: 通过构造新的数学模型,把三维AB模型的蛋白质折叠问题由一个带约束的优化问题转化为无约束优化问题,然后提出一个模拟退火算法。
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