Results 51 to 60 of about 213 (116)
Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)
Special Matrices, 2018 We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu +3 more
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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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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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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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Demonstratio MathematicaGiven a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
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Inverse interval matrix: a new approach
, 2020 We propose a new method to compute the inverse of an interval matrix based on the modified interval arithmetic. We introduce the notions of determinant, regularity and the inverse matrix of an interval matrix.
T Nirmala +4 more
core
Operators with equal projections related to their generalized inverses [PDF]
, 2004 In this article we characterize operators on Banach spaces which have the same projections related to their outer or inner generalized inverses. As corollaries, we obatin well-known results for the Drazin inverse of bounded operators. Keywords: Outer and
Yimin Wei, Dragan S Djordjević
core
EXPLICIT MINIMUM POLYNOMIAL, EIGENVECTOR, AND INVERSE FORMULA FOR NONSYMMETRIC ARROWHEAD MATRIX
, 2016 In this paper, we treat the eigenvalue problem for a nonsymmetric arrowhead matrix which is the general form of a symmetric arrowhead matrix. The purpose of this paper is to present explicit formula of determinant, inverse, minimum polynomial, and ...
W. Wanicharpichat
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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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Inverses and eigenvalues of diamondalternating sign matrices
Special Matrices, 2014 An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
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