条件数

Let A be a nonsingular nth-order real matrix, then cond_p =||A||_p||A~(-1)||_p =1(p= 1,∞), if and only if A = cpσ, where c is a positive constant, p is a permutation matrix, or is a diagonal mat...

设A为n阶非异实矩阵，则矩阵A的求逆p-范数条件数等于1的充要条件为A=cpσ，其中c为正常数，σ是置换阵，其对角元都等于+1或-1。

Considerable work and progress have been made over the past decades on nonsingular linear systems and linear least squares problems.

最近几年，一批研究工作者在非奇异线性方程组和线性最小二乘问题的条件数方面做了大量的工作，并取得了显著的进展。

The ill-conditioned normal equations bring numerical problems in construction of macromodel in time domain for power distribution networking using rational function approximation.

摘要有理函数逼近法方程组病态条件数为构建电源分配网络时域宏模型带来了数值问题。

The global condition index of mechanism was discussed and used as an objective function of the optimal design.

探讨了机构的全域条件数，并以它作为优化设计的目标函数。

The 3-dimentional intricate MMIC model with encapsulation and loss effects and the MLFMA numerical recipes combined with pre-conditioning and parallel technology are mainly studied.

主要研究三维模型下、考虑了封装和损耗效应的复杂微波毫米波集成电路的MLFMA分析模型；结合先进的条件数预处理技术的MLFMA算法；结合并行计算技术和MLFMA算法。

A method with the optimum stability to select the principal control matrix by the best condition number is suggested.

提出了用最优条件数选取主控矩阵的方法。

Introduced the mathematics theories foundation of the symplectic schemes, include the commonly established methods for construction symplectic schemes, which are symplectic Runge- Kutta method, symplectic propagation techniques and generating function method. A minimization of the truncation error-function and optimal Courant-Friedrichs-Levy number schemes are well established using sympletic propagation techniques.

介绍了辛算法的数学理论基础，包括辛算法常见的构造方法：辛Runge-Kutta法，辛传播子技术及生成函数法，利用辛传播子技术结合误差最小化及稳定性Courant-Fredrichs-Lewy条件数最大化的两种优化方案，构造了新的传播子系数；(2)。

First, various normwise relative condition numbers that measure the sensitivity of W-weighted Drazin inverse and the solution of singular linear systems are characterized.

首先，我们利用不同的范数定义了加权Drazin逆及其奇异线性方程组解的条件数，用来度量矩阵求加权Drazin逆和一类奇异线性方程组求加权Drazin逆解对于扰动的敏感性。

The substitution is made of the interval wavelet basis for the compact one in order toproduce the basis of Sobolev space with the lower condition number,which will improvethe speed and the accuracy of the linear system made by wavelet Galerkin method.

我们在小波Galerkin法中用区间小波替代J.Xu用的I.Daubechies的紧支正交小波来生成Sobolev空间及H1的小波基，使基的相关性大大减小，进一步使刚度矩阵的条件数减少，从而提高了线性方程组求解的速度和精度。

Based on the nonlinear static equilibrium equations of the system, the force singularity is described by the determinant and condition number of the Jacobian matrix clearly.

基于系统的非线性静力平衡方程，根据力传递Jacobian矩阵的行列式和条件数，剖析了工作空间内部的力奇异性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。