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positive definite matrix是什么意思,positive definite matrix的意思翻译、用法、同义词、例句

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常用词典

  • [数] 正定矩阵

  • 例句

  • Results linear complementary problem have unique solution when M is generalized positive definite matrix.

    结果得到了当M是广义正定矩阵时,线性互补问题存在唯一解。

  • 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。

  • In this paper, we discuss properties of positive definite complex matrix, and the relation between it and the Hermite positive definite matrix.

    本文给出了全正定矩阵的概念,讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。

  • 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。

  • 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。

  • 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;

  • 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。

  • 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准特征值问题。

  • It wishes to find a new way for normative research into the concept of generalized positive definite matrix .

    希望为广义正定矩阵概念的规范化探出一条新路。

  • Sub-positive definite matrix class and real-normal matrix class are made further development to a new class of matrix—Sub-normal matrix.

    对亚正定矩阵类与实规范矩阵类作进一步拓广,得到一个新的矩阵类——亚规范矩阵。

  • 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。

  • Aim To solve question about the existence and uniqueness of the solution for linear complementary by using generalized positive definite matrix.

    本文主要研究非线性互补问题,提出了一个求解非线性互补问题的微分方程方法并进行了相应的数值实现。

  • In this paper, we have given several properties of determinant and trace for positive definite complex matrix, and improves some existing results.

    本文绘出了复正定矩阵的迹和行列式的几个性质,改进了现有的一些结果。

  • As one of its application, we prove a number of important inequalities of the determinantal modulus of a positive definite complex matrix.

    作为它的应用之一,本文推得正定复矩阵的行列式的模的一些重要不等式。

  • 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 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。

  • Using the determinant and trace of positive definite Hermite matrix of complex fields we obtained several interesting inequalities.

    本文考虑了复数域上正定厄米特矩阵的行列式与迹间的一类不等式,得到了几个有趣的不等式。

  • 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 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。

  • In this paper, two inequalities of the positive semi-definite matrix trace are given.

    本文讨论谱约束下实对称半正定矩阵束的最佳逼近问题,指出一般算法。

  • 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.

    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。

  • A simple proof of positive semi-definite of Gram matrix is given, and several important conclusions of Gram determinant are discussed in this paper.

    本文给出格拉姆矩阵的半正定性的简单证明,讨论格拉姆行列式的几个重要结论,并应用于一类不等式的证明。

  • Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.

    利用实对称矩阵的半正定之等价条件给出了复正半定矩阵的几个等价条件。

  • 网络扩展资料

    正定矩阵是一种特殊类型的矩阵,其所有特征值均为正数,具有许多重要的应用。以下是对正定矩阵的详细解释:

    例句

    • The Hessian matrix of this function is positive definite, indicating that it has a minimum point. (这个函数的海森矩阵是正定的,说明它有一个最小点。)
    • A symmetric matrix is positive definite if and only if all its eigenvalues are positive. (一个对称矩阵是正定的,当且仅当它的所有特征值均为正数。)

    用法

    正定矩阵在数学和工程学中都有广泛应用,例如:

    • 在优化问题中,正定矩阵可以用于求解函数的最小值点。
    • 在信号处理中,正定矩阵可以用于协方差矩阵的分析。

    解释

    正定矩阵的定义是:如果对于任意非零向量x,都有x^T Ax>,那么矩阵A就是正定的。其中,x^T是x的转置,^T表示转置操作。

    正定矩阵具有以下特点:

    • 所有的特征值均为正数。
    • 所有的主子矩阵的行列式也均为正数。
    • 所有的顺序主子矩阵的行列式也均为正数。

    近义词

    • 正半定矩阵:矩阵的所有特征值均为非负数。
    • 半正定矩阵:矩阵的所有主子矩阵的行列式均为非负数。

    反义词

    • 负定矩阵:矩阵的所有特征值均为负数。
    • 不定矩阵:矩阵的特征值中既有正数又有负数。

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