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Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-016-0701-y
Abstract: The Jordan forms of matrices that are the product of two skew-symmetric matrices over a field of characteristic $${\neq 2}$$≠2 have been a research topic in linear algebra since the early twentieth century. For such… read more here.
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Published in 2019 at "Metrika"
DOI: 10.1007/s00184-019-00756-z
Abstract: Analysis of circular data is challenging, since the usual statistical methods are unsuitable and it is necessary to use circular periodic probabilistic models. Because some actual circular datasets exhibit asymmetry and/or multimodality, finite mixtures of… read more here.
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Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01225-w
Abstract: The objective of this work is to improve nonlinear stability and to minimize aliasing error by applying high order central discretizations to skew-symmetric splitting forms of the inviscid flux derivative without added high order numerical… read more here.
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Published in 2020 at "Archives of Computational Methods in Engineering"
DOI: 10.1007/s11831-020-09490-6
Abstract: A general acceleration model and a Hessian matrix of the kinematic limbs in the parallel manipulators are established using new skew-symmetric matrixes. First, several extended formulas of the skew-symmetric matrixes are derived and proved. Second,… read more here.
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Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.06.044
Abstract: We study how elementary divisors and minimal indices of a skew-symmetric matrix polynomial of odd degree may change under small perturbations of the matrix coefficients. We investigate these change ... read more here.
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Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.09.006
Abstract: We show that the set of m×m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials ... read more here.
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Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.01.025
Abstract: Abstract Let Q n denote the space of all n × n skew-symmetric matrices over the complex field C and T : Q n → Q n be a map satisfying the condition d χ… read more here.
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Published in 2024 at "Journal of Applied Crystallography"
DOI: 10.1107/s1600576723010245
Abstract: The observation of neutron interference using a triple Laue interferometer formed by two separate crystals opens the way to the construction and operation of skew-symmetric interferometers with extended arm separation and length. The specifications necessary… read more here.