英语释义

1. having a positive value for all values of the constituent variables
positive definite quadratic forms

2. having the characteristic roots real and positive

片语

positive e definite正定

hermitian positive semi definite matrixhermite正半定矩阵

mate positive sub definite matrix次亚正定矩阵

complex positive semi definite matrix复正半定矩阵

symmetrically positive semi definite matrix对称半正定阵

Positive-definite morphism正定态射

positive semidefinite definite quaternion matrix半正定四元数阵

Positive-definite bilinear form确定双线性形式

positive semi definite programming半正定规划

英汉例句

• the calculation method of elasticity matrix is in accordance with the principles of symmetry and positive definite in continuum mechanics.

  损伤弹性矩阵的计算符合连续介质力学的对称、正定等一般原理。

• and then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.

  进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标準特征值问题。

• most existed classification problems can be converted into a positive definite quadratic program.

  现有的大多数分类问题都能转化成一个正定二次规划问题的求解。

• at the same time, a new proof is given for the sufficient and necessary condition of the sor method applied to symmetric and positive definite system.

  进一步丰富了sor理论，同时给出了sor方法在对称正定条件下收敛的充要条件的又一新证明。

• this paper presents a sufficient and necessary conditions for generalized positive definite matrix, its relation with complete main positive matrix.

  本文给出广义正定阵判别方法，讨论几类矩阵之间的关系；

• in this paper author compares the present scheme and some other known positive definite scheme by using a analytic test.

  文中通过一简单的平流试验，与其它几种有名的正定平流方案进行了比较；

• based on the eigensubspace estimation using discrete recurrent neural networks, we propose algorithms to solve the problem of eigensubspace estimation for positive definite symmetric matrix.

  基于运用回复式离散神经网络进行特征子空间估值的理论，提出了解决正定对称矩阵的特征子空间估值问题的算法。

• a positive definite quadratic cost function is formed by using the vector output error and then different gradient methods are applied to calculate the parameters to be estimated.

  利用输出误差向量组成一正定二次型目标函数，然后应用各种梯度法计算待估的参数。

• in this paper, we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.

  给出实矩阵的广义谱分解式，讨论广义正定实矩阵的特征根的一些性质。

• the stable condition of networks is analyzed by using the positive definite properties of hermitianmatrix. the simple method of removing parasitic oscillation is found out.

  利用埃米特矩阵的正定性质分析集成网络稳定的条件，寻找出消除寄生振蕩简单而可靠的方法。

• it can be applied to solve nonpositive definite or positive definite partial differential equation with arbitrary variable coefficient under arbitrary boundary condition.

  它可以求解在任意边界条件下任意变系数正定或非正定偏微分方程。

• the pair correlation functions obtained in this paper are positive definite and satisfy the normalization condition.

  本文得到的关联函数是恒正的，并且满足归一化条件。

• a method for getting the values of the unknown parameters of the semiparametric model is given under the principle of penalized least squares with a positive definite regular matrix.

  利用补偿最小二乘原理构造加权惩罚平方和，得到半参数模型中正规化矩阵正定时参数和半参数的估计量。

• a unified simple condition for stable matrix, positive definite matrix and m matrix is presented in this paper.

  本文给出了一个判定矩阵稳定、正定以及为m矩阵的统一简化条件。

• positive definite matrix occupies a very important position in matrix theory, and has great value in practice.

  正定矩阵在矩阵论中占有十分重要的地位，在实际中也有广泛的应用价值。

• the title is intimidating, but chapter 3 is easy to read and contains a lucid introduction to positive definite functions.

  不要被书名吓到了，其实书里的第3章非常容易阅读而且对正定函数也有很明确的解释。

• the main advantage of the proposed method is: the iterative matrix is symmetric and positive definite at ea ch iteration.

  该方法的主要优点在于其迭代矩阵总保持对称正定。

• the principal submatrix of the asymmetrical generalized positive definite matrix is not asymmetrical generalized positive definite matrix in general.

  指出非对称广义正定矩阵的主子矩阵一般不是非对称广义正定矩阵。

• under the cases that the objective function is positive definite or positive semidefinite, the necessary and sufficient conditions to characterize global optimal solution are obtained.

  假定约束是可行、规范的，对于目标函数为正定或半正定的情形，得到了全局最优解的充要条件。

• these properties are similar to properties of positive semi-definite matrices and positive definite matrices.

  这些性质类似于通常的半正定矩阵及正定矩阵的性质。

• general solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.

  本文用矩阵分解法给出该反问题在正定矩阵类及正交矩阵类中的通解。

• a region decomposition method to solve a positive definite quadratic programming is presented.

  给出了一个求解正定二次规划的区域分解方法。

• the method iccg. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.

  iccg方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。

• a mathematic model of road identification problem is provided and the problem is related with a positive definite quadratic programming problem with inequality constraints.

  建立了道路识别问题的数学模型并将上述问题与一个不等式约束的正定二次规划问题相联系。

• the control for chaotic synchronization is directly designed based on lyapunov's direct method by choosing a positive definite lyapunov function.

  选择一正定的李亚普诺夫函数，基于李亚普诺夫直接法求出混沌同步的控制量。