二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
线性二次型最优调节器的权矩阵选择问题至今尚未得到较好解决。
The matrices of linear quadratic optimal regulators not yet be resolved perfectively.
借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。
By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
本算法用自适应算法，二次型共轭梯度算法，解前后向预测构成的矩阵方程。
The new algorithm uses the quadratic conjugate gradient algorithm (QCGA) to solve the forward-backward linear prediction matrix equation.
在传统的线性二次型问题中，一般是通过试错法选择加权矩阵来获得良好的动态响应。
In the classical linear quadratic problems, weighting matrices are usually choosed on trial and error to get good responses.
给出了由子矩阵组成的分块矩阵时，随机变量二次型的方差、协方差的计算公式。
The formulas to calculate the variance of a quadratic form with the matrix composed of submatrices are given in this paper.
本文讨论赋值环上的对称线性型、二次型和对称矩阵的合同标准形。
In this paper we will discuss symmetric bilinear forms and quadratic forms over valuation rings, and establish the congruent standard forms of symmetric matrices over valuation rings.
本文给出的半正定二次型的若干判别方法及半正定对应系数矩阵的一些相关性质。
The paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.
引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。
By introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.
根据系统参数，在二次型指标中适当选择状态加权矩阵q可以将LQ问题的状态反馈解表成输出反馈的形式。
Choosing the proper state weight matrix Q in the LQ index by the system parameters, we can express the state feed-back solution of the LQ problem in the form of the output feedback.
根据系统参数，在二次型指标中适当选择状态加权矩阵q可以将LQ问题的状态反馈解表成输出反馈的形式。
Choosing the proper state weight matrix Q in the LQ index by the system parameters, we can express the state feed-back solution of the LQ problem in the form of the output feedback.
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