Results 241 to 250 of about 1,724,110 (280)
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Group inverse and group involutory Matrices∗
Linear and Multilinear Algebra, 1998In this work we deal with group involutory matrices, i.e.A #=A. We give necessary and sufficient conditions to characterize these matrices in terms of different representations of the group inverse. First, we give different expressions of the group inverse of a square matrix A. In addition, the special case of integer matrices is considered.
Rafael Bru, Neśtor Thome
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Group inverses and Drazin inverses over Banach algebras
Integral Equations and Operator Theory, 1993Necessary and sufficient conditions are given for the existence of group and Drazin inverses of matrices over a complex commutative unital Banach algebra. Explicit formulas are provided for the inverses. Properties of these inverses and an application to operator theory are discussed.
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Inverse shadowing in group actions
Dynamical Systems, 2016ABSTRACTWe study the inverse shadowing property for actions of some finitely generated groups. A tube condition for such actions is introduced and analysed. We prove a reductive inverse shadowing theorem for actions of virtually nilpotent groups.
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Inverses of finite group systems
IEEE Transactions on Automatic Control, 1978Inverse systems are considered for a class of discrete time-invariant systems that include the finite linear sequential circuits (LSC's). Invertibility results for finite group homomorphic sequential systems (FGHSS's), given by Willsky [8], are extended to include systems with throughput A construction is developed for an L -delay inverse of any FGHSS ...
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The evolving landscape of salivary gland tumors
Ca-A Cancer Journal for Clinicians, 2023Conor Steuer
exaly
Inverse homomorphisms of finite groups
Discrete Mathematics and ApplicationsAbstract Replacing the equality in the condition of the homomorphism of a multi-based universal algebra with inequality leads to the definition of an inverse homomorphism of a multi-based universal algebra. In this paper methods for constructing nontrivial inverse homomorphisms of finite groups are studied.
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