condition number 英[kənˈdiʃən ˈnʌmbə] 美[kənˈdɪʃən ˈnʌmbɚ] 释义 条件数,制约数 实用场景例句 全部 The condition number, defined below, is changed by scaling the matrix. 调整矩阵的比例就改变了下面定义的条件数. 辞典例句 ...
条件数(Condition Number)是一个数学概念,用于衡量一个函数、矩阵或问题的敏感度,即输入的微小变化对输出造成的影响程度。在不同的上下文中,条件数有不同的具体定义,但通常它描述的是一个比例:输入变化的量与输出变化的量之间的比例。 在矩阵中的应用 在矩阵代数中,条件数通常用于描述一个矩阵解线性方程组的稳定性...
我们在衡量某个函数敏感度与稳定性时,常使用的一种方法是求导。即观察导数df(x)dx的大小。然而对于一个矩阵而言,所谓的导数似乎就不是那么显著,在此我们就介绍一个常用的指标矩阵敏感度指标:Condition Number。 为了更好地理解Condition Number我们首先考虑一个线性系统Ax = b,显然解为A−1b。现在引入一个小的...
If the condition number is not too much larger than one (but it can still be a multiple of one), the matrix is well conditioned which means its inverse can be computed with good accuracy. If the condition number is very large, then the matrix is said to be ill-conditioned. Practically,...
条件数,这个看似简单的数学概念,实际上蕴含着深刻的意义,它就像一把尺子,测量着函数、矩阵或问题对输入微小变化的敏感程度。当我们谈论矩阵条件数时,它描述的是输入变化与输出变化之间的比例,如同山坡陡峭程度影响行进的稳定度。矩阵世界中的稳定性分析 在矩阵代数的领域,条件数就像一个诊断工具,用来...
网络释义 1. 条件指数 条件指数(Condition index)或条件数 Conditionnumber)是 X’X矩阵的最大和最小特征根之比的平方根,条件指数高,表明存 … read.cucdc.com|基于30个网页 2. 条件指标 ...llinearity),我们计算模型2与模型 3的条件指标(condition index),两者分别为 15.74与16.31,皆小於临界值30,显示我们...
A condition number of a problem measures the sensitivity of the solution to small perturbations in the input data. The condition number depends on the problem and the input data, on the norm used to measure size, and on whether perturbations are measured
In Section 4, we examine the relation between the condition number of a simple eigenvalue λ0 of P(λ) and the distance from P(λ) to the set of matrix polynomials that have λ0 as a multiple eigenvalue. In particular, we see that if the condition number of λ0 is sufficiently ...
TheReciprocal Conditionblock computes the reciprocal of the condition number for a square input matrixA. Here is the equivalent MATLAB®code. y = rcond(A) or y=1κ=1‖A−1‖1‖A‖1, where κ is the condition number (κ≥ 1), andyis the scalar output (0 ≤y< 1). ...
The past couple of decades, however, have seen a growing number of attempts to rectify this situation. In the main (though not excl... WE Kunin,KJ Gaston - Springer Netherlands 被引量: 478发表: 1997年 The dispersal rate of a beetle, Osmoderma eremita, living in tree hollows The ...