Results 11 to 20 of about 136 (62)
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
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
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 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
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
core +1 more source
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
core +2 more sources
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
core
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
core
On maximal distances in a commuting graph [PDF]
, 2010 We study maximal distances in the commuting graphs of matrix algebras defined over algebraically closed fields. In particular, we show that the maximal distance can be attained only between two nonderogatory matrices.
Dolinar, Gregor +2 more
core
Commuting Jordan Types: a Survey
, 2023 In this paper, we survey the progress in the problem of finding the maximum commuting nilpotent orbit that intersects the centralizer of a given nilpotent matrix.Comment: 17 Pages, 4 ...
Khatami, Leila
core