conditioning number造句

• Estimates for the condition number of matrices
  关于矩阵谱条件数的估计
• In chapter 3 , i analyze this algorithm and draw a conclusion its condition number is lower than cg algorithm ' s
  推导出了它的条件数比原来系数矩阵的条件数要低。
• The optimal backward error and the condition number are important measures to evaluate the quality of computed solution
  最佳向后误差和条件数都是衡量计算解质量的重要指标。
• But when the condition number of the matrix is very large , the round error will be accumulated to collapse the true solution , that is , the method is unstable
  同时，当系数矩阵的非零元结构不规则或带宽较大时，其计算量与存储量十分大。
• Some preconditioner technique is also studied to improve the condition number and further accelerate iterations , comparisons are made between them by numerical results
  本文还研究了几种预条件技术,用于改善算子的条件数,进一步加速迭代,同时用数值结果对比了各自的优劣。
• For electrically large problems , the condition number of impendence matrix is very large , and furthermore , the ununiformity of the modeling leads to an ill - conditioned matrix
  对大型电磁散射问题,不仅矩阵的条件数大,而且由于表面网格剖分的不均匀有可能产生病态的矩阵。
• The feasibility of its avoidance from the actuating - singularity by means of step motors and mutation of mechanism is proven with the help of the condition number of the jacobian matrix
  结合实例提出一种机构构形变异和驱动变异，其可以避免奇异中对机构影响最大的驱动奇异。
• The ordering process , the integer ldlt factorization and the ambiguity screen are three parts of the osd . the osd is based on diminishing the condition number of covariance matrix
  Osd处理过程包括排序、整数ldl ~ t分解和模糊度筛选，该算法的去相关处理过程，是以降低协方差矩阵的条件数为准则。
• Then with implicit function theorem the flexible workspace is dealt with . by using the jacobian matrix of the hybrid input mechanism , the sensitivity of output is obtained . then the condition number of jacobian matrix is derived
  进而研究平面闭链机构的柔性工作空间，并利用隐函数定理快速地推导出平面闭链5r和4rp机构的工作空间的边界条件。
• The examples show that the new scheme is very effective when the condition number of the normal matrix is less than 1010 . compared with other methods , the new scheme improves the precision and accuracy of the computation results obviously
  经过实例验证，当法矩阵的条件数小于10 ~ ( 10 )时，这种方案是有效的，与其它方法相比较，显著地提高了计算结果的精度和准确度。
• Due to the convergence of cg method is strongly dependent on the condition number of the hessian , the inexact newton method with cg subiterations will be powerful if these cg subiterations are replaced by preconditioned cg subiterations with suitable preconditioner
  由于cg法的收敛状态强烈的依赖于海色阵的条件数，所以用条件预优共轭梯度法( pcg )替代cg法会得到更好的效果。
• The condition numbers of the jacobian matrix are analyzed to judge velocity transfer performance and force transfer performance between joint space and working space . the three dimensions drawings are drew by matlab to make analysis visual
  通过分析雅克比矩阵的条件数来判断关节空间和目标空间的速度传递性和力传递性，利用matlab工具软件进行具体计算，并画出性能的三维图形来使分析可视化。
• This is caused by the large condition number of the jacobian matrix . in the case where the condition number of the jacobian matrix is very large , the newton direction is likely to be orthogonal to the gradient of the general level function
  但是，当方程组病态时，由于newtow方向与通常的水平函数的最速下降方向近似正交，此时水平函数的下降非常缓慢，从而导致线性搜索产生的步长很小，使算法的效率降低。
• The backward error and the structured backward error of the approximate solution are the criteria to judge the stability and the strong stability of the numerical algorithm . condition number is a measure of the sensitivity to the approximate solution for the perturbation of original date
  近似解的最佳向后误差和最佳结构向后误差的数值分别是判别算法的稳定性和强稳定性的标准，而条件数则是反映数值问题的解对于该问题数据扰动的敏感程度。
• According to rice ' s idea , rice condition numbers for these subspaces are defined by applying perturbation expansions of orthogonal projection operators . the expressions of the rice condition numbers and the first - order perturbation estimations for these subspaces are derived . compared with sun ' s approach , the rice condition numbers are independent of the choices of basis
  在子空间基底扰动展开的基础上，基于rice的想法，运用正交投影算子与空间基底选取无关的特性，改进了前人所定义的子空间和子空间对的条件数，并得到了这些rice条件数的具体表达式。
• As the perturbation analysis , we make some results on the singular linear equations " condition number concerned with the generalized inverse at , s , ( 2 ) which extend the results on the nonsingular linear equations " condition number , then we give the perturbation bound for the solutions of ep linear equations
  在奇异线性方程组解的扰动分析方面，我们首先从最具有代表性的广义逆a _ ( ts ) ~ ( 2 )着手，建立了有关求解奇异线性方程组的条件数的表达式，从而推广了非奇异线性方程组的条件数的一些结果，然后我们对ep线性方程组的广义逆解的相对扰动误差界给出一个估计式。
• It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3 . secondly , a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly . the condition number of modified lagrange function ' s hessian is estimated , which also depends on the penalty parameter
  证明这些修正的对偶算法仍具有同前两章的概念性对偶算法相同的收敛性结果，我们还进一步构造了一般约束非线性规划问题的对偶算法，建立了相应的局部收敛理论，最后估计了修正lagrange函数的hesse阵的条件数，它同样依赖于罚参数。
• A dual algorithm , based on an exponential potential function , is proven to be included in this class of dual algorithms . detailed convergence results for the dual algorithm are given and the estimate of the condition number of the potential function ' s hessian is established , which depends on the penalty parameter . 2
  还基于一个指数型势函数建立了相应的对偶算法，它也属于这类对偶算法，对这一对偶算法，给出了精细的收敛性结果，同时估计了势函数的hesse阵的条件数，它依赖于罚参数。
• Second , we discuss the minimum quality of condition numbers of ad , w and the singular linear systems . third , since condition numbers can not be computed exactly , we give the definition of the condition number of the condition number to know the sensitivity of the problem " compute the condition number "
  再次，由于条件数不能被精确计算， demmel提出了条件数的条件数这个概念，我们定义了加权drazin逆和奇异线性方程组的加权drazin逆解的条件数的条件数，并给出它的界。
• And then the ill effects are discussed in the view of computation and statistics , respectively . a new diagnostics technique so - called stability analysis method is proposed . the characteristics analysis , the condition number and the condition indexes & variance decomposition proportions methods are discussed , respectively
  提出了一种新的诊断技术? ?稳定性分析法，这是本文研究的一个重点内容；就基于特征系统的特征分析法、条件数法和条件指标与方差分解比法等诊断理论进行了较为详细地研究和探讨；对标准化及重新参数化与线性变换对病态性问题的影响进行了初步研究。