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。
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。
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。
Symmetric Positive Definite Matrices and the Determining Criterions for Non-singular GM-matrices 对称正定矩阵与非奇异GM-矩阵的判定
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。
Positive semi-definite matrices are positive definite if and only if they are nonsingular. 正半定矩阵是正定的,当且仅当它们是非奇异矩阵。
In this paper, we study the problem about the symmetric positive definite solution to a class of mixed-type Lyapunov matrix equations. 对一类两点边值问题给出了对称正解的两种单调迭代格式,主要工具是单调算子迭代技巧。
Bergstrom Type Inequalities for Complex Positive Definite Matrices 复正定矩阵的Bergstrom型不等式
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。
Some properties of adjoint matrix are discussed. The properties are symmetry, antisymmetry, positive definite, positive semi-definite, orthogonal and characteristic value. 讨论了伴随矩阵在对称、反对称、正定、半正定、正交、相似和特徵值等方面的性质。
The upwind-mixed method is presented for the positive semi-definite and the positive definite problems of two phase miscible flow in porous media on dynamically changing meshes. 在网格随时间变动的有限元空间上研究了不可压缩的两相渗流驱动间题。
Studied Hermitian Positive Definite Solutions of Three Classes of Nonlinear Matrix Equations 三类非线性矩阵方程的Hermitian正定解研究
The conditions for the solvability of generalized inverse eigenvalue problems of positive definite matrixes are discussed. Furthermore, the expression of the solution is given with numerical experiments. 讨论了正定矩阵广义特征值反问题解存在的条件,给出了求解的算法和数值例子。
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。
If a symmetrical matrix is positive definite, the determinants of all its minors are also positive. 如果对称矩阵是为正定者,它的所有子式的行列式也都是正的。
A new estimation for positive definite solution to discrete Lyapunov equation with parameter disturbance is presented. 从而为基于李雅普诺夫方程的系统分析及控制问题提供必要的理论分析基础。
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。
The Positive Definiteness of Kronecker Product of Complex Positive Definite Matrices 复正定矩阵的Kronecker积的正定性
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。
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
An iterative solution method is suggested to solve the system of equations whose coefficient matrices are non positive definite. 由于系统方程的系数矩阵非正定,系统方程不能用直接法和传统的迭代法求解,为此提出了一种求解该方程组的迭代解法。
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。
An attractive property of this method is that the Hessian of the quadratic objective function is always positive definite. 该方案的一个显著优点是QP子问题的目标函数的Hessian阵正定。
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。
In chapter 3, we presented a dual method for solving positive definite quadratic programming with box constraints. 在第三章,我们提出了一种解决具有边界约束的正定二次规划问题的对偶方法。
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。
The resultant matrix generated from the Hermite method is positive definite, which guarantees the reversibility of the matrix. 用Hermite排序法所得的矩阵是正定的,这保证了矩阵的可逆性。