Results 11 to 20 of about 136 (62)
Characterizations and representations of left and right hybrid (b, c)-inverses in rings [PDF]
, 2021 Let R be an associative ring with unity 1 and let a, b ,c is an element of R. In this paper, several characterizations for left and right hybrid (b, c)-inverses of a are derived.
Patrício, Pedro +3 more
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On the Diagonalizability and Factorizability of Quadratic Boson Fields [PDF]
, 2022 We provide a necessary and sufficient condition on the coefficient matrices A,C for the diagonalizability of quadratic fields of the form, \[X =\sum_{i,j=1}^n (A_{i,j}a^+_i a^+_j+\overline{A}_{i,j}a_i a_j+C_{i,j}a^+_i a_j)\] where, the a’s and a†’s ...
Accardi, Luigi +3 more
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Constructing invariant subspaces as kernels of commuting matrices [PDF]
, 2019 Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an n n matrix N that commutes with A and has N = kerN. For Q a matrix putting A into Jordan canonical form, J = Q1AQ, we get N = Q1M where M= ker(M) is an
Cowen, Carl C. +2 more
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Maximal doubly stochastic matrix centralizers [PDF]
, 2017 We describe doubly stochastic matrices with maximal central-izers.info:eu-repo/semantics ...
Cruz, Henrique F. da +3 more
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The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition [PDF]
, 2018 Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained from the nilpotent part of this decomposition.
Mingueza, David +2 more
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A note on clean elements and inverses along an element [PDF]
, 2018 Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an element of R is called invertible along d if there exists unique a(parallel to d) such that a(parallel to d) ad = d = daa(parallel to d) and a(parallel to d )is
Patrício, Pedro, Zhu, Huihui
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Almost commuting permutations are near commuting permutations [PDF]
, 2015 We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to $k$-tuples of almost commuting permutations, for any given $
Arzhantseva, Goulnara, Paunescu, Liviu
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Matrices that commute with their derivative. On a letter from Schur to Wielandt
, 2012 We examine when a matrix whose elements are differentiable functions in one variable commutes with its derivative. This problem was discussed in a letter from Issai Schur to Helmut Wielandt written in 1934, which we found in Wielandt's Nachlass.
Adkins +33 more
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The kernels of powers of linear operator via Weyr characteristic
, 2023 The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator $\varphi_{AB}: X\rightarrow AX-XB$ by two matrices $A$ and $B$.
Jian, Jie, Liao, Jun, Liu, Heguo
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Sylvester matrix and common factors in polynomial matrices [PDF]
, 2007 With the coefficient matrices of the polynomial matrices replacing the scalar coefficients in the standard Sylvester matrix, common factors exist if and only if this (generalized) Sylvester matrix is singular and the coefficient matrices commute.
Wegge , Leon
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