Results 111 to 120 of about 28,414 (283)
Journal of Applied Mathematics, 2014 This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence.
F. Soleymani, M. Sharifi, S. Shateyi
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A note on the convexity of the Moore–Penrose inverse
Linear Algebra and its Applications, 2018 Abstract This note is a sequel to an earlier study (Nordstrom [7] ) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B with Moore–Penrose inverses A + and B + , respectively, can one show that ( λ A + λ ‾ B
Kenneth Nordström, Kenneth Nordström
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Parallel computing methods to determine parametric generalized inverse matrices
Известия Томского политехнического университета: Инжиниринг георесурсов, 2019 The relevancy of the work is conditioned by the necessity to determine effectively the Moore-Penrose generalized parametric inverse matrices which are quite often encountered when solving non-autonomous linear systems of finite equations, optimal control
S. H. Simonyan
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Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space
The Scientific World Journal, 2013 We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui +2 more
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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 Applied Mathematics, 2014 Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the
Shi-Fang Yuan
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Line digraphs and the Moore-Penrose inverse
Linear Algebra and its Applications, 1981 AbstractVarious 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. A similar relationship between a nonsquare Boolean matrix and a bipartite graph is also given.
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Journal of Applied Science and EngineeringThis work begins by presenting the essential and enough circumstances for the presence of the Hermitian solution to equations ΨXΦ + Φ∗YΨ∗ = Ω = Ψ∗XΦ∗+ ΦYΨ in the case where the operators are linear and bounded in a Hilbert space and in terms of the Moore-
Salim Dawood Mohsen +1 more
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Optimizing the ordering of the Hadamard masks of ghost imaging suitable for the efficient face reconstruction using the max-projection method. [PDF]
Sci Rep, 2023 Zhang H +7 more
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New Bounds for the Davis–Wielandt Radius via the Moore–Penrose Inverse of Bounded Linear Operators
AxiomsIn this paper, we obtain some new upper bounds involving powers of the Davis–Wielandt radius of bounded linear operators with closed ranges by using the Moore–Penrose inverse.
Xiaomei Dong, Yuzhen Guo, Deyu Wu
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