Articles with "grassmann algebra" as a keyword



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Positivity, Rational Schur Functions, Blaschke Factors, and Other Related Results in the Grassmann Algebra

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Published in 2019 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-019-2506-6

Abstract: We begin a study of Schur analysis in the setting of the Grassmann algebra when the latter is completed with respect to the 1-norm. We focus on the rational case. We start with a theorem… read more here.

Keywords: grassmann algebra; positivity rational; blaschke factors; rational schur ... See more keywords
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A modified Grassmann algebra approach to theorems on permanents and determinants

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Published in 2019 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2019.07.002

Abstract: Abstract Abdesselam [1] showed how the techniques of Grassmann-Berezin calculus can be used to prove the all-minors matrix-tree theorem. Starting with any matrix A we associate a directed graph G to A equipped with two… read more here.

Keywords: algebra approach; permanents determinants; approach; modified grassmann ... See more keywords