Results 1 to 10 of about 22,007 (192)
Invers Moore-Penrose pada Matriks Turiyam Simbolik Real [PDF]
Jambura Journal of Mathematics, 2023 The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can
Ani Ani, Mashadi Mashadi, Sri Gemawati
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Minors of the Moore-Penrose inverse [PDF]
Linear Algebra and its Applications, 1993 AbstractLet Qk,n = {α = (α1,…, αk): 1 ⩽ α1 < ⋯ < αk ⩽ n} denote the strictly increasing sequences of k elements from 1,...,n. For α, β ∈ Qk,n we denote by A[α, β] the submatrix of A with rows indexed by α, columns by β. The submatrix obtained by deleting the α-rows and β-columns is denoted by Alsqbα′, β′rsqb.
Jianming Miao, Adi Ben-Israel
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On the covariance of the Moore-Penrose inverse
Linear Algebra and its Applications, 1984 AbstractGiven a square complex matrix A with Moore-Penrose inverse A†, we describe the class of invertible matrices T such that (TAT-1)†=TA†T-1.
Donald W. Robinson
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A New Generalized Θ-Inverse vs. Moore-Penrose Structure: A Comparative Control-Oriented Practical Investigation [PDF]
IEEE Access, 2021 A new non-unique $\Theta $ -inverse of non-square polynomial matrices is presented in this paper. It is shown that the above inverse specializes to the unique Moore-Penrose one under several specific assumptions.
Wojciech P. Hunek
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On matrix convexity of the Moore-Penrose inverse [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pecaric
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Note on an extension of the Moore-Penrose inverse
Linear Algebra and its Applications, 1981 AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a unique type of generalized inverse for matrices over arbitrary fields.
Randall E. Cline
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Moore–Penrose inverse in rings with involution
Linear Algebra and its Applications, 2007 AbstractWe study the Moore–Penrose inverse (MP-inverse) in the setting of rings with involution. The results include the relation between regular, MP-invertible and well-supported elements. We present an algebraic proof of the reverse order rule for the MP-inverse valid under certain conditions on MP-invertible elements. Applications to C*-algebras are
J. J. Koliha +2 more
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On the Covariance of Moore-Penrose Inverses in Rings with Involution [PDF]
Abstract and Applied Analysis, 2014 We consider the so-called covariance set of Moore-Penrose inverses in rings with an involution. We deduce some new results concerning covariance set. We will show that ifais a regular element in aC∗-algebra, then the covariance set ofais closed in the set of invertible elements (with relative topology) ofC∗-algebra and is a cone in theC∗-algebra.
Hesam Mahzoon
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The Moore-Penrose inverse of a free matrix
The Electronic Journal of Linear Algebra, 2007 A matrix is free, or generic, if its nonzero entries are algebraically independent. Necessary and sufficient combinatorial conditions are presented for a complex free matrix to have a free Moore-Penrose inverse. These conditions extend previously known results for square, nonsingular free matrices. The result used to prove this characterization relates
Thomas Britz
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On Nonnegative Moore-Penrose Inverses of Perturbed Matrices
Journal of Applied Mathematics, 2013 Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived.
Shani Jose, K. C. Sivakumar
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