分别给出计算矩阵的最小多项式和向量关于矩阵的最小多项式的初等变换方法。
A method using elementary transformation for calculating minimum polynomials of matrices and vectors are given.
介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。
This paper describes the matrix structure and geometric properties of planar linear transformations, based on homogeneous coordinates.
最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。
Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.
在水泵的选型或运行中，通常采用多项式的最小二乘法或根据假设的函数关系来拟合水泵性能曲线。
Least square method of polynomial or the method based on the given function are used to fit pump characteristic curve in pump selection or operation.
在估计并扣除系统误差之后，进行三通道最小二乘多项式滤波以更有效地抑制随机误差。
After the system error is estimated and deducted, the random error is effectively reduced by three channels polynomial least square filter.
方法利用非参数分段多项式估计和最小二乘法进行讨论。
Methods It is discussed by nonparametric piecewise polynomial estimation and least squares estimation.
该算法是在最小二乘意义上的多项式曲线拟合，实验结果表明，其校正效果明显优于分段线性校正算法。
The algorithm is polynomial curve fitting based on least square approximation. The experimental result shows its performance is more effect than that of the piecewise linear algorithm.
然后由债务信度网络构造了容量费用网络，利用最小费用循环流问题给出了该模型的一个多项式算法。
Then we construct a capacity cost network from the debt credit degree network. Finally, by applying minimum cost circulation flow problem, we give a polynomial algorithm for this model.
采用基于最小二乘的分段多项式，建立了不同温度下EGO传感器的静态模型。
The static models of EGO sensors for different temperature were built up using sectioned polynomial based on the least square.
同时，拟合方法采用目前非常成熟的多项式最小二乘拟合。从而不仅能控制拟合函数的复杂性，而且使分段拟合的补偿区间数量达到最少，极大地降低了计算成本。
The paper adopts the method of multinomial least squares as fitting to make the fitting function be simple and the amount of compensation interval be least, reduces the calculation cost.
本文研究了无容量限制的带固定费用和可变费用的单物资和二物资的最小费用流问题，并分别给出了多项式算法。
We study uncapacitated version of the minimum cost flow problem of one-commodity and two-commodity with not only fixed cost but also variable cost, and give them each a polynomial algorithm.
讨论了最小二乘多项式拟合中引起正规方程组病态的两个重要原因：节点对原点的偏离程度和节点坐标的数量级。
In this paper two reasons-the deviation of the data from the origin and the size of the data-causing the ill-conditioned normal equations in the least square fitting of a polynomial are discussed.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
In this paper we get a seeking unified method of the least common multiple the greatest common factor and coefficients polynomial by implementing elementary row transformation in a polynomial matrix.
以国际标准CRC-CCITT循环冗余校验码为研究对象，利用近世代数多项式理论证明其奇偶校验性质、最小码距和纠正单比特错误能力。
The polarities check ability, minimum code distance and capacity of correct single bit error of CRC-CCITT are proved by using galois field polynomial theory.
作者在最小二乘法的基础上，提出分段直线拟合算法来代替多项式曲线拟合，从而达到简化数学模型的建立和减少计算量的目的。
The author proposes a sectional line fitting to re - place the polynomial curve fitting, which results in simplifying establishment of mathematical model and reducing the amount of calculation work.
这种方法能够保证辨识出的参数是最佳的；而且不用求解对应的非线性最小二乘问题，只需求一元多项式的根，从而大大减少计算量。
This approach can guarantee that the identified parameters are optimal, by solving a one-dimensional polynomial equation instead of a nonlinear least square problem.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
Thus we gave a kind of new method for solving the greatest common factor of two-variable polynomials.
通过对回归滤波器的计算复杂度的研究，寻找使回归滤波器计算量最小的正交多项式。
Through the study of the computational complexity of regression filter, the orthogonal polynomials which make the regression filter has the minimum computational complexity are found.
本文在介绍最小二乘曲线拟合原理的基础上，采用二元多项式对姿态参数进行平滑拟合，以实例验证了此方法的有效性。
Based on introducing the principles of the least square conic fitting, this paper USES binary polynomial fitting for the attitude parameters. And an example has proved that this method is useful.
本文采用最小二乘法回归分析，将湿敏元件的测试数据回归成多项式，获得元件的静态数学模型。
A static mathematical model of humidity sensing element is obtained using least square regression analysis, through regression of measured data into polynomial expression.
本文给出了有限域上多项式的友矩阵的某些性质，及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。
This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.
提出了利用自由节点样条函数来改善多项式最小二乘滤波器设计的模型和方法。
A novel model based on free node spline function is put forward to improve the design of the polynomial least square filter.
在半参数回归模型中采用最小二乘估计方法结合局部多项式方法来估计未知量，在一定条件下得到了估计量的相合性。
And estimated the unknown quantity using the methods of least square estimation and local polynomial estimation, obtained the consistency of estimation under certain condition.
该方法是基于最小相位滤波器的复倒谱系数和其群迟延函数以及其系统函数之间的关系，通过一个非线性的递归方程求解分母多项式的系数。
Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined through a nonlinear recursive difference equation.
采用基于最小偏差估计(LAD)准则的滑动局部多项式拟和目标的运动轨迹，并用拟和的运动轨迹预测目标在下一时刻的位置。
Target trace is fitted by sliding subsection polynomials based on least absolute deviation (LAD) estimation, and the future location of target is predicted with the fitted trace.
然后各子图内像素灰度值以低阶多项式表示，依最小二乘准则以多项式逼近原图像的子图像。
Then, the image grey level of every subimage is approximated by low-order polynomial according to least-square criterion.
基于道路区域检测结果，道路边线检测算法采用多项式模型，利用最小二乘法对道路边线进行拟合。
Based on the result of the road area detection, the road edge detection algorithm USES the least square method to fit the road edge.
并通过比较这些极值图的最小根得到此类连通图族伴随多项式最小根的序。
Moreover, some ordering relations are determined by comparing the minimum roots of these extreme graphs.
结果显示理想溶液模型的误差较大，多项式经验方程的误差最小。
Correlation results showed that the polynomial empirical equation is the best to fit in the experimental results.
利用网络编码，允许中间节点进行信息编码，最小能量广播问题可以转化为一个线性规划问题，并且具有一个多项式时间解。
We use network coding, i. e. , allowing intermediate nodes to code, the problem can be formulated as a linear program problem and has a polynomial-time solution.
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