Results 11 to 20 of about 1,715,934 (212)
Factoring Formal Maps into Reversible or Involutive Factors [PDF]
, 2013 An element $g$ of a group is called reversible if it is conjugate in the group to its inverse. An element is an involution if it is equal to its inverse.
O'Farrell, Anthony G., Zaitsev, Dmitri
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Characterizations of the group invertibility of a matrix revisited
Demonstratio Mathematica, 2022 A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA.
Tian Yongge
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Inverse semigroups with idempotent-fixing automorphisms [PDF]
, 2013 A celebrated result of J. Thompson says that if a finite group $G$ has a fixed-point-free automorphism of prime order, then $G$ is nilpotent. The main purpose of this note is to extend this result to finite inverse semigroups.
Araujo, Joao, Kinyon, Michael
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Further characterizations of the m-weak group inverse of a complex matrix
AIMS Mathematics, 2022 In this paper, we introduce certain different characterizations and several new properties of the m-weak group inverse of a complex matrix. Also, the relationship between the m-weak group inverse and a nonsingular bordered matrix is established as well ...
Wanlin Jiang, Kezheng Zuo
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The group inverse of circulant matrices depending on four parameters
Special Matrices, 2021 Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial ...
Carmona A. +3 more
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Gait Event Prediction Using Surface Electromyography in Parkinsonian Patients
Bioengineering, 2023 Gait disturbances are common manifestations of Parkinson’s disease (PD), with unmet therapeutic needs. Inertial measurement units (IMUs) are capable of monitoring gait, but they lack neurophysiological information that may be crucial for studying gait ...
Stefan Haufe +3 more
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M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
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The (2,2,0) group inverse problem [PDF]
, 2010 We characterize the existence of the group inverse of a two by two matrix with zero (2,2) entry, over a ring by means of the existence of the inverse of a suitable function of the other three entries.
Hartwig, Robert E., Patrício, Pedro
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Resistance Distance and Kirchhoff Index of
IEEE Access, 2019 Let Q(G) be the graph derived from G by inserting a new vertex into every edge of G and by connecting edges of these new vertices that are on adjacent edges of G, and Q-double join of G, G1 and G2 denoted by GQ v{G1, G2}, is the graph derived from Q(G ...
Weizhong Wang, Tingyan Ma, Jia-Bao Liu
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Parametrizing the time-variation of the "surface term" of stellar p-mode frequencies: application to helioseismic data [PDF]
, 2016 The solar-cyle variation of acoustic mode frequencies has a frequency dependence related to the inverse mode inertia. The discrepancy between model predictions and measured oscillation frequencies for solar and solar-type stellar acoustic modes includes ...
Ball, W. H. +6 more
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