Results 41 to 50 of about 949,602 (209)
International Journal of Mathematics and Mathematical Sciences, 1992 This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an ...
Ar. Meenakshi, N. Anandam
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∗-Regularity in the ring of matrices over the ring of integers modulo 𝑛 [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 For any positive integer 𝑛 ≥ 2, we give necessary and sufficient conditions of the existence of the Moore-Penrose inverse of any square matrix over the ring of integers modulo 𝑛.
Wannisa Apairat, Sompong Chuysurichay
doaj
Generalized Commutators and the Moore-Penrose Inverse
The Electronic Journal of Linear Algebra, 2021 This work studies the kernel of a linear operator associated with the generalized k-fold commutator. Given a set $\mathfrak{A}= \left\{ A_{1}, \ldots ,A_{k} \right\}$ of real $n \times n$ matrices, the commutator is denoted by$[A_{1}| \ldots |A_{k}]$. For a fixed set of matrices $\mathfrak{A}$ we introduce a multilinear skew-symmetric linear operator ...
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Journal of Mathematics, 2018 Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
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The Moore–Penrose inverse of a factorization
Linear Algebra and its Applications, 2003 Let \(A\) be a von Neumann regular matrix (i.e., \(AXA= A\) is solvable), and let \(P\), \(Q\) be given. Assume that there exist \(P'\) and \(Q'\) such that \(P'PA= A= AQQ'\). Necessary and sufficient conditions are given in order to \(PAQ\) be Moore-Penrose invertible, generalizing previous results.
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.In this research, a paradigm of parameter estimation method for pneumatic soft hand control is proposed. The method includes the following: 1) sampling harmonic damping waves, 2) applying pseudo‐rigid body modeling and the logarithmic decrement method, and 3) deriving position and force control.
Haiyun Zhang +4 more
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Computing Moore–Penrose Inverses with Polynomials in Matrices
The American Mathematical Monthly, 2021 This article proposes a method for computing the Moore–Penrose inverse of a complex matrix using polynomials in matrices. Such a method is valid for all matrices and does not involve spectral calculation, which could be infeasible when the size of the matrix is large.
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A partial envelope approach for modelling multivariate spatial‐temporal data
Canadian Journal of Statistics, EarlyView.Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja +3 more
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Moore-penrose matrix inverse [PDF]
, 2016 V uvodu predstavimo posamezna poglavja diplomskega dela. V drugem poglavju podamo deÖnicije in opiöemo vrste matrik ter operacije, ki jih opravljamo na matrikah.
Koznicov, Karmen
core
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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