Results 11 to 20 of about 129 (51)
Constructing Invariant Subspaces as Kernels of Commuting Matrices [PDF]
, 2023 Given an n by n matrix A over the complex numbers and an invariant subspace L, this paper gives a straightforward formula to construct an n by n matrix N that commutes with A and has L equal to the kernel of N.
Cowen, Carl C. +2 more
core +4 more sources
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
core +1 more source
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
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
A note on additive commutativity-preserving mappings
Publicationes mathematicae (Debrecen), 2000 We characterize additive surjective commutativity-preserving mappings on Mn, n ≥ 2. The problem of characterizing linear transformations on Mn, the algebra of n× n complex matrices, that preserve some properties, has been considered in a number of papers.
T. Petek
semanticscholar +1 more source
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
core +1 more source
A note on commutativity preserving maps on M_n(ℝ)
, 2018 Let Mn(F) be the set of all n× n matrices over a field F . Surjective maps which preserve the commutativity relation on Mn(F) only in one direction have been recently classified for the case when F is an algebraically closed field.
G. Dolinar, B. Kuzma, J. Marovt
semanticscholar +1 more source
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
core +1 more source
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
core +1 more source
A FIXED POINT THEOREM FOR VOLUME PRESERVING LINEAR TRANSFORMATIONS
, 2016 In this note we derive consequences of the fact that if g ∈ SL(n), where n ≥ 2, and σi(g) are the coefficients of its characteristic polynomial, then g has 1 as an eigenvalue if and only if ∑ n−1 i=1 (−1) σi(g) = 0 or 2 according to the parity of n ...
M. Moskowitz
semanticscholar +1 more source