- 更多网络例句与半正定矩阵相关的网络例句 [注：此内容来源于网络，仅供参考]
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It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.
本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。
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In this paper we discuss the optimal approximation of matrices and its numerical algorithm on some closed convex cone .
讨论矩阵在闭凸锥上的最佳逼近及其数值算法，在对称半正定矩阵集上，给出了最佳逼近数值算法的MATLAB程序和数值例子。
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In the method, the symmetric positive semidefinite matrices are updated to approximate the Hessian matrices of the elemental objective functions and their sum to approximate the Hessian matrix of the objective function.
算法用对称半正定矩阵作为元素目标函数的Hessian阵的近似，使得其和仍然保持目标函数的Hessian阵的某种稀疏性。
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In the first part, we shall prove several inequalities involving symmetric positive semidefinite, general M-matrices and inverse M-matrice which are generalization of the classical Oppenheim s Inequality for symmetric positive semidefinite matrices.
第一个部分给出了半正定矩阵，一般的M-矩阵以及逆M-矩阵的一些相关不等式，而这些不等式都是有关半正定矩阵的经典的Oppenheim不等式的推广。
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This paper discusses the ways in the problem of generalized characteristics in vibration to convert rigidity matrix or quality matrix into positive definite matrix when they are positive semi-definite matrix.
讨论振动中的广义特征问题的刚度矩阵或质量矩阵为半正定阵时如何使其转化为正定矩阵。
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A criterion for the real part positive semidefiniteness matrix is presented,and the algorithm for this criterion is given.
给出了实部半正定矩阵的一种判定方法，并给出了该判定方法的算法。
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An arbitrary perturbation of generalized Schur complement for positive semidefinite matrix is studied.
得到了原已有文献给出的Hermitian半正定矩阵的Styan矩阵不等式的逆向表达式。
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Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.
对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。
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Stage multisplitting symmetric positive semidefinite matrices is obtained.
较深入地讨论了对称半正定矩阵的二级多分裂方法。
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In the last of this dissertation, we give necessary and sufficient conditions for the existence of and the expressions of perpositive semidefinite solutions and bipositive semidefinite solutions to some systems of quaternion matrix equations.
给出了某些四元数矩阵方程组有广亚半正定解，双半正定解的充要条件及其表达公式；研究了矩阵方程组的最小二乘解，极小范数的最小二乘解，在某些约束条件下的最小二乘解和极小范数的最小二乘解，给出了其有这些解的充要条件及其表达公式。
- 更多网络解释与半正定矩阵相关的网络解释 [注：此内容来源于网络，仅供参考]
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positive definite quatratic form：正定二次型
positive definite matrix 正定矩阵 | positive definite quatratic form 正定二次型 | positive semidefinite matrix 半正定矩阵
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positive semidefinite form：半正定型,正半定形式
positive semidefinite 半正定=>準正定値 | positive semidefinite form 半正定型,正半定形式 | positive semidefinite matrix 半正定矩阵
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positive semidefinite quadratic form：半正定二次型
positive semidefinite matrix 半正定矩阵 | positive semidefinite quadratic form 半正定二次型 | quatratic form 二次型
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positive semidefinite matrix：半正定矩阵
positive definite quatratic form 正定二次型 | positive semidefinite matrix 半正定矩阵 | positive semidefinite quadratic form 半正定二次型
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principal minor sequence：顺序主子式
半正定矩阵 subpositive definite matrix | 顺序主子式 principal minor sequence | 幂等矩阵 idempotent matrix
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positive semidefinite：半正定=>準正定値
positive semi-definite matrix 正半定矩阵 | positive semidefinite 半正定=>準正定値 | positive semidefinite form 半正定型,正半定形式
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positive semidefinite：半正定
positive definite matrix 正定矩阵 | positive semidefinite 半正定 | saddle point 鞍点