1) Penrose-inverse
Penrose型广义逆
1.
We provide the general forms of Penrose-inverses of a real matrix under the matrix equivalence decomposition.
设A∈Rrm×n,本文讨论了矩阵A在等价分解下的13类Moore-Penrose型广义逆的通式。
2) Moore-Penrose inverse
Moore-Penrose广义逆
1.
Their contacts between Idempotent-Hermite Matrix and idempotent matrix,Hermite-matrix,normal matrix,positive semi-definite matrix are obtained;and relation between Idempotent-Hermite Matrix and orthogonal projector,Moore-Penrose inverse is also discussed.
给出了幂等Hermite矩阵的概念,研究了幂等Hermite矩阵的一些性质,取得了幂等Hermite矩阵与等幂矩阵、Hermite矩阵、正规矩阵、半正定矩阵的一些联系,讨论了幂等Hermite矩阵与正交投影算子和Moore-Penrose广义逆的关系。
2.
With the introduction of center Lipschitz condition and Moore-Penrose inverse on Riemannian manifold, the criterion of convergence of simple Newton s iteration for the singular vector field is given, that is, the sequence generated by simple Newton s iteration with initial point p_0 converges to a zero of the singular vector field.
通过在黎曼流形上引入中心Lipschitz条件与Moore-Penrose广义逆,给出了为求黎曼流形上奇异向量场的零点的简单牛顿迭代法的收敛判别条件。
3.
This paper dealt with parallel computation of the Moore-Penrose inverse of a bidiagonal matrix.
研究用一种叫分而治之的算法以计算上双对角阵的Moore-Penrose广义逆。
3) Moore-Penrose generalized inverse
Moore-Penrose广义逆
1.
The method how to get the Moore-Penrose generalized inverse is also worked out.
提出了广义实幂等矩阵的概念,研究了它的性质,并给出了其Moore-Penrose广义逆的求法。
2.
By using Moore-Penrose generalized inverse and the Kronecker product of matrices, we derive the expression of the least squares symmetric solution of the matrix equation AXB + CYD = E with the least norm.
对于任意给定的矩阵A∈Rm×n,B∈Rn×s,C∈Rm×k,D∈Rk×s,E∈Rm×s,本文利用矩阵的Kmnecker积和Moore-Penrose广义逆,研究矩阵方程AXB+CYD=E的对称极小范数最小二乘解,得到了解的表达式。
3.
Chapter two deals with the perturbation problem of Moore-Penrose generalized inverse of densely defined closed linear operator in Hilbert space:The theory of generalized inverse has numerous applications in mathematic fields such as numerical linear algebra, numerical analysis, optimization, control theory, mathematical statistics, differential equations.
本文主要讨论了Banach空间中一阶脉冲积分微分方程初值问题整体解的存在性和稠定闭算子Moore-Penrose广义逆的稳定性问题,共分为两章。
4) MoosePenrose generalized inverse
Moose-Penrose广义逆
5) generalized Moore-Penrose inverse
广义Moore-Penrose逆
1.
On generalized Moore-Penrose inverses of regular morphisms;
关于正则态射的广义Moore-Penrose逆
2.
A sufficient and necessary condition for the generalized Moore-Penrose inverse of a factorization matrix
分解矩阵具有广义Moore-Penrose逆的充要条件
3.
Some necessary and sufficient conditions for existence of the generalized Moore-Penrose inverse and some characterizations of the generalized Moore-Penrose inverse are given.
讨论布尔矩阵的广义Moore-Penrose逆。
6) Penrose-Moore inverse
Penrose-Moore广义逆
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