Results 31 to 40 of about 28,414 (283)
The Moore-Penrose inverses of split quaternions [PDF]
Linear and Multilinear Algebra, 2020 6 ...
Zhenhu Chang, Wensheng Cao
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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.
B, M. +5 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 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).
Cabezas Sánchez, Víctor +1 more
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On the perturbation of the Moore–Penrose inverse of a matrix [PDF]
Applied Mathematics and Computation, 2020 The Moore-Penrose inverse of a matrix has been extensively investigated and widely applied in many fields over the past decades. One reason for the interest is that the Moore-Penrose inverse can succinctly express some important geometric constructions in finite-dimensional spaces, such as the orthogonal projection onto a subspace and the linear least ...
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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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General expressions for the Moore-Penrose inverse of a 2 × 2 block matrix [PDF]
, 1991 The Moore-Penrose inverse of a 2 × 2 block matrix M = m=acbd is discussed. General expressions for the Moore-Penrose inverse for the block matrix M in terms of the individual blocks A, B, C, D are delivered without any restrictions imposed.
Miao, Jian-Ming
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A characterization of the Moore-Penrose inverse
Linear Algebra and its Applications, 1993 AbstractIf A is a nonsingular matrix of order n, the inverse of A is the unique matrix X for which rankAIIX=rank(A). We present a generalization of this fact to singular or rectangular matrices A to obtain an analogous result for the Moore-Penrose inverse A+ of A.
Miroslav Fiedler, Thomas L. Markham
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The generalized Moore-Penrose inverse
Linear Algebra and its Applications, 1992 AbstractWe 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 the generalized Moore-Penrose solution.
Ravindra B. Bapat, K. Manjunatha Prasad
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The Moore-Penrose inverse of differences and products of projectors in a ring with involution [PDF]
, 2016 In this paper, we study the Moore–Penrose inverses of differences and products of projectors in a ring with involution. Some necessary and sufficient conditions for the existence of the Moore–Penrose inverse are given.
Chen, Jianlong +2 more
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