Results 51 to 60 of about 790 (92)
Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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Improvements in the upper bounds for the spread of a matrix
, 2015 In this paper, we present some new upper bounds for the spread of a matrix. These bounds improve the previous results. In addition, one of these bounds can be up to the optimum.
Pingping Zhang, Hu Yang
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Basic Operations on Supertropical Quadratic Forms
Documenta Mathematica, 2017 In the case that a module V over a (commutative) supertropical semiring R is free, the R-module Quad(V ) of all quadratic forms on V is almost never a free module.
Z. Izhakian, Manfred Knebusch
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Open Mathematics, 2018 In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
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Similarity relations and exponential of dual-generalized complex matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates.
Gürses Nurten, Şentürk Gülsüm Yeliz
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Note on traces of matrix products involving inverses of positive definite ones
, 2018 This short note is devoted to the analysis of the trace of a product of two matrices in the case where one of them is the inverse of a given positive definite matrix while the other is nonnegative definite.
A. Grzybowski
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Singular matrices possessing the triangle property
Special MatricesIt is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
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Full column rank preservers that preserve semipositivity of matrices
Special Matrices, 2018 Left invertibility preservers on Mm,n(ℝ), m ≥ n, that preserve either semipositivity of matrices or the subset of minimally semipositive matrices are studied. We prove that such maps cannot be degenerate.
Arumugasamy Chandrashekaran +1 more
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Skew-symmetric matrices related to the vector cross product in ℂ7
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ7, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied.
Beites P. D. +2 more
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On the Moore-Penrose inverse in rings with involution
, 2017 We study equivalent conditions to those given in Penrose equations for an element to be the Moore–Penrose inverse of a given element in a ring with involution, using the concept of EP, normal, bi–EP, bi–normal, l–(or r–)quasi–EP, l–(or r–)quasi–normal ...
D. Mosić
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