The results of the case study slows that the model and the method can efficiently solve large scale optimization problems in water resources systems.
实例研究表明，文中提出的模型与算法具有计算速度快和占用内存量小的优点。
Conjugate gradient method, which can be easily computed and requires no matrix storage, is one of the most popular and useful method for solving large scale optimization problems.
共轭梯度法是最优化中最常用的方法之一，它具有算法简便、不需要矩阵存储等优点，十分适合于大规模优化问题。
Optimization also involves techniques for solving large-scale, discrete, nonlinear, multiobjective, and global problems.
最优化也包括解决大规模，离散，非线性，多目标和全球化问题的技术。
Therefore, the evolutionary algorithms have been successfully applied to various fields, especially to some complex, large scale, nonlinear and non-differentiable optimization problems.
其独特的性能已在众多领域内获得了成功的应用，着重用于解决复杂的、大规模的、非线性、不可微的优化问题。
The calculation results demonstrated that IGP could solve the problems of optimization synthesis for large-scale complex distillation system rapidly.
计算表明，本算法可以快速准确地求解大规模复杂精馏系统优化综合问题。
Pr conjugate gradient method is one of the efficient methods for solving large scale unconstrained optimization problems, however, its global convergence has not been solved for a long time.
PR共轭梯度法是求解大型无约束优化问题的有效算法之一，但是算法的全局收敛性在理论上一直没有得到解决。
An optimization method for large scale problems which combines Newton method and Interated-Subspace method is proposed.
结合牛顿法与子空间迭代的思想，给出了一种求解大型优化问题的方法。
The Algorithm has very wide generality and very good efficiency, its basic principle can widely be used in solving large scale combinatorial optimization problems.
该算法通用性强，效率高，其基本原理可广泛应用于求解大规模的组合优化问题。
The MOSEK optimization Software is designed to solve large-scale mathematical optimization problems.
MOSEK优化套装软体，是一款用来解决大规模级别数学优化问题的软体。
Hessian matrices are used in large-scale optimization problems within Newton-type methods because they are the coefficient of the quadratic term of a local Taylor expansion of a function.
海森矩阵被应用于牛顿法解决的大规模优化问题。混合偏导数和海森矩阵的对称性海森矩阵的混合偏导数是海森矩阵非主对角线上的元素。
The traditional optimization scheduling method has many shortcomings which would be unable to effectively apply to large scale complex problems.
传统优化调度方法存在着种种不足，已经不能很好地适用于大规模复杂问题。
Numerous scheduling and planning problems in various industrial environments are known to be extremely challenging, especially large scale scheduling and planning optimization problems.
许多工程领域中的调度和规划问题都相当地困难，尤其是大规模调度和规划优化问题。
Numerous scheduling and planning problems in various industrial environments are known to be extremely challenging, especially large scale scheduling and planning optimization problems.
许多工程领域中的调度和规划问题都相当地困难，尤其是大规模调度和规划优化问题。
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