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Convergence of Rump's method for computing the Moore-Penrose inverse [PDF]
, 2016 summary:We extend Rump's verified method (S. Oishi, K. Tanabe, T. Ogita, S. M. Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices ...
Chen, Yunkun, Wei, Yimin, Shi, Xinghua
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The generalized Moore-Penrose inverse [PDF]
, 1991 We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a “generalized Cramer's rule” to find ...
Manjunatha Prasad, K. +4 more
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On the mean and variance of the estimated tangency portfolio weights for small samples
Modern Stochastics: Theory and Applications, 2022 In this paper, a sample estimator of the tangency portfolio (TP) weights is considered. The focus is on the situation where the number of observations is smaller than the number of assets in the portfolio and the returns are i.i.d.
Gustav Alfelt, Stepan Mazur
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Moore–Penrose inverse of set inclusion matrices [PDF]
, 2000 Given integers s,k and v, let Wsk be the vs×vk 0–1 matrix, the rows and the columns of which are indexed by the s-subsets and the k-subsets of a v-set respectively, and where the entry in row S and column U is 1 if S⊂U and 0 otherwise.
R.B. Bapat, Bapat, R. B., Bapat, R.B.
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The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
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Line digraphs and the Moore-Penrose inverse [PDF]
, 1981 Various characterizations of line digraphs and of Boolean matrices possessing a Moore-Penrose inverse are used to show that a square Boolean matrix has a Moore-Penrose inverse if and only if it is the adjacency matrix of a line digraph.
Per A. Smeds, Smeds, Per A.
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Effective partitioning method for computing weighted Moore–Penrose inverse [PDF]
, 2008 We introduce a method and an algorithm for computing the weighted Moore–Penrose inverse of multiple-variable polynomial matrix and the related algorithm which is appropriated for sparse polynomial matrices.
Petković, Marko D. +2 more
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When does the Moore-Penrose inverse flip? [PDF]
, 2012 In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand.
Patrício, Pedro +3 more
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Moore-Penrose inverse of some linear maps on infinite-dimensional vector spaces [PDF]
, 2020 [EN]The aim of this work is to characterize linear maps of infinite-dimensional inner product spaces where the Moore-Penrose inverse exists. This MP inverse generalizes the well-known Moore-Penrose inverse of a matrix A ∈ Mat _{n×m} (C).
Pablos Romo, Fernando +1 more
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The Moore-Penrose inverse of a retrocirculant [PDF]
, 1978 In a recent paper Chao [2] has determined the eigenvalues of a matrix of the form A=PC where P is a permutation matrix which commutes with a certain unitary matrix and C is a circulant.
Smith, Ronald L.
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