The upper triangular decomposition of the deformation gradient: possible decompositions of the distortion tensor
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DOI: 10.1007/s00707-017-2075-1
Abstract: In the upper triangular decomposition, the deformation gradient is multiplicatively decomposed into a product of a rotation tensor and an upper triangular tensor called the distortion tensor. In this paper, it is shown that the… read more here.
Keywords: possible decompositions; tensor; decomposition; upper triangular ... See more keywords
Super-character theory and comparison arguments for a random walk on the upper triangular matrices
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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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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
The image of polynomials on 2 × 2 upper triangular matrix algebras
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DOI: 10.1016/j.laa.2020.10.009
Abstract: Abstract The goal of the paper is to give a complete description of the image of polynomials with zero constant term on 2 × 2 upper triangular matrix algebras over an algebraically closed field. read more here.
Keywords: image polynomials; upper triangular; triangular matrix; matrix algebras ... See more keywords
Stabilisation for upper-triangular nonlinear systems subject to time-delay via sampled-data control and its applications
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DOI: 10.1080/00207179.2021.1891292
Abstract: This paper investigates the stabilization problem for upper-triangular nonlinear systems subject to time-delay by using sampled-data control. In order to make the design process more feasible, the ... read more here.
Keywords: systems subject; subject time; control; triangular nonlinear ... See more keywords
Functional identities on upper triangular matrix rings
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DOI: 10.1515/math-2020-0018
Abstract: Abstract Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R)… read more here.
Keywords: triangular matrix; functional identities; identities upper; upper triangular ... See more keywords
On upper triangular operator 2 x 2 matrices over C*-algebras
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DOI: 10.2298/fil2003691i
Abstract: We study adjointable, bounded operators on the direct sum of two copies of the standard Hilbert C*-module over a unital C*-algebra A that are given by upper triangular 2 by 2 operator matrices. Using the… read more here.
Keywords: triangular operator; upper triangular; matrices algebras; operator matrices ... See more keywords
Property $(w)$ of upper triangular operator Matrices
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DOI: 10.5556/j.tkjm.51.2020.2256
Abstract: Let $M_C=\begin{pmatrix} A & C \\ 0 & B \\ \end{pmatrix}\in\LB(\x,\y)$ be be an upper triangulate Banach spaceoperator. The relationship between the spectra of $M_C$ and $M_0,$ and theirvarious distinguished parts, has been studied by… read more here.
Keywords: operator matrices; property; property upper; upper triangular ... See more keywords