positive definite matrix
英 [ˈpɒzətɪv ˈdefɪnət ˈmeɪtrɪks]
美 [ˈpɑːzətɪv ˈdefɪnət ˈmeɪtrɪks]
网络 正定矩阵
双语例句
- To In this paper, the definition of complex generalized positive definite matrix is given, its fundamental properties are studied, and its equivalent characteristics are established.
当引入广义正定复矩阵这个概念之后，也应该讨论它相应的性质与结构，这对丰富矩阵论的内容无疑是有意义的。 - Based on the definitions of generalized positive definite matrix, a further study of it is made in the present paper, and several new results are obtained as a consequence.
提出了超正稳定的概念，讨论了实对称正定、亚正定、良广义正定、广义正定、超正稳定及正稳定矩阵类之间的关系，得到了若干确定的结果。 - In this paper, some important inequalities on norm of determinent of complex positive definite matrix and its Schur complement are obtained.
正定复矩阵是矩阵论中的一个重要概念，人们已经掌握了它的若干性质与结构。 - The Improvement of Minkowski's Inequality for Positive Definite Matrix
正定矩阵的Minkowski不等式的改进 - 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。 - Aim To solve question about the existence and uniqueness of the solution for linear complementary by using generalized positive definite matrix.
目的解决用广义正定矩阵来判别线性互补解的存在唯一性问题。 - Several important inequalities of Hermite positive definite matrix trace
Hermite正定矩阵迹的几个重要不等式 - Some Equivalent Conditions and Proof to Dertermination of Hermite Positive Definite Matrix
关于Hermite矩阵正定性判定的等价条件及证明 - Analysis and Application of Generalized Positive Definite Matrix
广义正定矩阵的分析与应用 - The determinate problems of the real positive definite matrix are given, some sufficient conditions and some determinate criterions for the tensor product of two real positive definite matrices are also obtained.
首先讨论了实正定（半正定）矩阵的判定准则，给出了若干充分性条件，其次得到了实正定矩阵张量积为实正定阵的若干判定准则。 - Not every partial positive definite Toeplitz matrix has Toeplitz positive definite completion and not every partial positive definite matrix which has positive definite completion has Toeplitz positive definite completion.
并不是所有的部分正定Toeplitz矩阵都有Toeplitz正定完成，也并不是每个有正定完成的部分正定矩阵都有Toeplitz正定完成。 - We further more research the condition of special matrix being semi positive definite matrix and partly solve the sufficient conditions of Murthy guesses.
同时研究了特殊矩阵为半正定矩阵的充分条件，从而部分回答了Murthy猜想。 - Moreover, the condition is also sufficient if the positive definite matrix is included in this set.
当这个集合中包含有正定矩阵时，上述必要条件也是充分的。 - Hadamard product of real positive definite matrix or iverse M-matrix and real symmetric positive definite matrix satisfying Oppenheim's inequality on Hadamard product of real symmetric positive definite matrix were proved.
证明了实正定矩阵或逆M-矩阵与实对称正定矩阵的Hadamard乘积，满足实对称正定矩阵的Hadamard乘积的Oppenheim不等式。 - 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。 - It is discussed about properties of holohedral symmetry real matrix in this paper. It being positive definite matrix, its full and necessary conditions are educed, eigenvalue and eigenvector of the matrix is calculated with these properties.
本文较全面论证了一类全对称实矩阵的性质，根据这些性质，导出了该类矩阵正定的充要条件和特征值与特征向量的计算方法。 - Some properties of the generalized positive definite matrix are discussed. A class of more particular ones is given. It is shown that its multiple self Hadamard product still maintain a sufficient condition of generalized positive definiteness.
讨论了广义正定矩阵的一些性质，并给出一类较特殊的广义正定矩阵，它的多个自身的Hadamard积仍保持广义正定性的一个充分条件。 - In the matrix theory, n-order real symmetric positive definite matrix is important to the study of inequality.
n阶实对称正定矩阵在矩阵理论中，对它的不等式研究具有有十分重要的意义。 - When a common positive definite matrix can not be found to design fuzzy model-based controller, the improved adaptive reconfigurable control scheme based on fuzzy model and neural network is proposed.
同时，当现有的基于模型的模糊控制器无法求解时，文中给出了一种改进的基于模糊模型和神经网络的自适应重构控制方案。 - Compared with former stability analysis approaches, this approach can not only overcome the defect of finding a common positive definite matrix but also reduce the number of solving Lyapunov inequalities largely.
较之以往稳定性判定方法，此方法不仅克服了需要寻找一个公共矩阵的不足，而且也减少了求解Lyapunov不等式的个数。 - If A is a symmetric positive definite matrix, then the quadratic form x~ TAx can be written as a sum of squares. Equivalently, A is a sum of rank one matrices VV~ T.
若A是对称正定矩阵，则二次型x~TAx能写成平方项的和，即A是秩为1的矩阵VV~T的和。 - Generalized positive definite matrix and its application in stability analysis
广义正定矩阵及其在稳定性分析中的应用 - The positive definition of n order real symmetric matrix can be determined by n 1 order real symmetric matrix with congruent transformation. And one necessary and sufficient condition of a positive definite matrix is proved, it can judge positive definite matrix with reducing to a lower order.
通过合同变换，n阶实对称矩阵的正定性完全可以由n-1阶实对称矩阵的正定性确定，从而得到一个判定正定矩阵的充分必要条件，用它可以降阶判别矩阵的正定性。 - 2 ° Unique decomposition theorem of positive definite matrix;
2°正定矩阵的唯一分解定理； - As a consequence we can decompose a positive definite matrix as product of two triangular matrices, and decompose a non-singular matrix as product of a orthogonal matrix with a upper triangular matrix.
作为推论，我们可以利用矩阵的初等变换把一个正定矩阵分解为两个三角矩阵的积，把一个非奇异实矩阵分解为一个正交矩阵与一个上三角矩降的乘积。 - Eigenvalues of Hessian matrix of quadratic differentiable function's steepest descent curve were then used to construct a positive definite matrix, which can construct the descent direction at this point.
其次从二次可微函数最速下降曲线得到利用其Hessian阵的特征值构造的正定矩阵，进而利用该正定矩阵可以构造在该点的下降方向。 - The characteristics of matrix operation are studied, and some sufficient conditions are presented for complex positive definite matrix when all the real parts of the characteristic values are positive.
研究了复正定矩阵的运算性质，由特征值实部的正性得到了复矩阵正定的几个充分条件。 - Martrix and proper-semi positive definite matrix.
矩阵和真半正定矩阵的概念，从而定义了新的矩阵类； - Using the notion of the Non-Hermite positive definite matrix and its properties, some new sufficient and necessary conditions of positively stable matrix are obtained.
利用非Hermite正定矩阵的概念及性质，获得了正稳定矩阵几个新的充要条件。 - The Lower Bound of the Determinant for Hadamard Product of an Inverse M-matrix and a Positive Definite Matrix
逆M-矩阵与正定矩阵Hadamard乘积行列式的下界