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基于Moore-Penrose 逆的加权距离函数研究
相关性数据 马氏距离 Moore-Penrose 广义逆 奇异值分解 谱分解
2014/4/28
“距离”是科学研究与工程技术领域中使用非常广泛的一种度量. 在分析各种距离优、缺点的基础上, 根据马
氏距离不受量纲影响, 能描述和处理相关性数据的性能优势, 利用加权Moore-Penrose (WMP) 广义逆定义了WMP马
氏距离, 并通过奇异值分解及矩阵的谱分解理论构造其数学形式和计算方法. 理论分析和仿真实验表明, 所提出的方
法不仅保持了马氏距离和MP马氏距离的优点, 而且克服了...
Computing the Moore-Penrose Inverse of a Matrix Through Symmetric Rank-One Updates
Finite Recursive Algorithm Moore-Penrose Inverse Symmetric Rank-One Update
2013/1/30
This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The compu...
An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
Cramer-Rao bound constrained parameters singular Fisher information matrix
2011/9/1
Abstract: An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a ...
The Art of Space Filling in Penrose Tilings and Fractals
Art Space Penrose Tilings and Fractals
2011/9/14
Incorporating designs into the tiles that form tessellations presents an interesting challenge for artists. Creating a viable MC Escher like image that works esthetically as well as functionally requi...
A counterexample to a Penrose inequality conjectured by Gibbons
counterexample Penrose inequality Gibbons
2011/3/3
We show that the Brill-Lindquist initial data provides a counterexample to a Riemannian Penrose inequality with charge conjectured by G. Gibbons. The observation illustrates a sub-additive characteris...
The Penrose Inequality and the Fluid/Gravity Correspondence
Penrose Inequality Fluid/Gravity Correspondence
2010/12/21
Motivated by the fluid/gravity correspondence, we consider the Penrose inequality in the frame-
work of fluid dynamics. In general relativity, the Penrose inequality relates the mass and the entropy ...
Circular patterns within the cosmic microwave background suggest that space and time did not come into being at the Big Bang but that our universe in fact continually cycles through a series of "aeons...
A-XY*的Moore-Penrose逆的表示
Hilbert空间 Moore-Penrose逆 幂等算子
2014/1/11
在Hilbert空间上有界线性算子的条件下, 进一步推广了Shermen-Morrison-Woodbury(SMW)公式的Moor-Penrose逆的表示. 这个公式可以用来计算A^+的某些扰动和某些算子矩阵的Moore--Penrose 逆.
A volumetric Penrose inequality for conformally flat manifolds
volumetric Penrose inequality conformally flat manifolds
2010/12/1
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to Rn \ , n 3, and so that their boundary is a minimal hypersurface.
态射的加权Moore-Penrose逆
范畴 满单分解 态射 加权Moore-Penrose逆
2012/9/27
讨论带有对合∗ 的范畴C 中具有满单分解态射的加权Moore-Penrose逆,给出了具有满单分解态射的加权Moore-Penrose逆存在的几个充要条件以及具有满单分解的加权 Moore-Penrose逆的表达式, 所得结论和公式包括了关于广义Moore-Penrose逆中的结果.
三矩阵左半张量积的加权Moore-Penrose
矩阵左半张量积 加权Moore-Penrose逆 反序律
2009/11/24
给出了三矩阵左半张量积A⊙B⊙C的加权Moore-Penrose逆满足反序律(A⊙B⊙C)+MK=(C+LK⊕It )(B+NL⊕Ip)A+MN 的充要条件。
设$H_{1}$和$H_{2}$是无穷维可分Hilbert空间. 用$M_{C}$表示$H_{1}\oplus
H_{2}$上的2$\times$2阶上三角型算子矩阵$\left(
\begin{array}{cc}
A & C \\
0 & B \\
\end{array}
\right)$. 对给定的算子$A\in{\mathcal{B}}(H_{1})$和
$B\in{\ma...
Moore-Penrose逆及Drazin逆综述
Drazin逆 Moore-Penrose逆
2008/12/12
关于矩阵及算子和广义逆,近三十年来发展十分迅速,国内外除了在多种类型的杂志上发表了数以千计的论文外,还出版了几本有价值的专著,特别应当提及的是由Ben-Israel 和 Greville 所写的那本以矩阵广义逆为主的杰作,此外,由 Nashed 所编辑的那本书几乎包括了1976年以前的一切主要成果,并列出了1700多篇文献。对一个初学者,或不想花费很多时间而又需要了解广义逆的主要内容和近年来发展情...
广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆
广义行(列)酉对称矩阵 满秩分解 广义逆 信号处理
2012/11/9
提出了广义行(列)酉对称矩阵的概念,研究了它们的性质,得到了一些新的结果,给出了广义行(列)酉对称矩阵的满秩分解、秩分解和广义逆的公式,减少了它们的计算量与存储量,又不会降低数值精度.同时推广了有关文献的相应结果,拓宽了实际应用领域的范围.
环上矩阵加权Moore-Penrose逆存在的条件
加权Moore-Penrose逆 矩阵 环 元素
2012/9/28
讨论了环上元素和矩阵的加权Moore-Penrose逆, 得到环上矩阵存在加权 Moore-Penrose逆的充要条件, 推广了Patrico 等所给出的有关结果, 获得环上矩阵存在关于 , M N 加权Moore-Penrose逆的一个充要条件.