LAUSR

The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers

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1 Published in 2018 at "Ukrainian Mathematical Journal"

DOI: 10.1007/s11253-018-1520-1

Abstract: We consider the ring of all infinite (ℕ × ℕ) upper triangular matrices over a field F. We give the description of elements that are Drazin invertible in this ring. In the case where F… read more here.

Keywords: drazin inverses; triangular matrices; preservers drazin; infinite triangular ... See more keywords

Super-character theory and comparison arguments for a random walk on the upper triangular matrices

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0 Published in 2019 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.10.037

Abstract: Consider the random walk on the $n \times n$ upper triangular matrices with ones on the diagonal and elements over $\mathbb{F}_p$ where we pick a row at random and either add it or subtract it… read more here.

Keywords: random walk; triangular matrices; character theory; upper triangular ... See more keywords

Group gradings on the Jordan algebra of upper triangular matrices

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1 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2017.08.004

Abstract: Abstract Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ n of upper triangular matrices of order n… read more here.

Keywords: triangular matrices; jordan algebra; algebra upper; group ... See more keywords

Approximation of pseudospectra of block triangular matrices

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0 Published in 2020 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.08.008

Abstract: Abstract We approximate the pseudospectra of a block triangular matrix with two blocks on the diagonal in terms of the pseudospectra of its diagonal blocks. read more here.

Keywords: triangular matrices; pseudospectra block; block triangular; approximation pseudospectra ... See more keywords

Affine stochastic equation with triangular matrices

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0 Published in 2018 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2017.1422249

Abstract: Abstract We study solution of the stochastic equation where A is a random matrix and B, X are random vectors, the law of (A, B) is given and X is independent of (A, B). The… read more here.

Keywords: triangular matrices; stochastic equation; affine stochastic; equation ... See more keywords