# multilinear algebra

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## multilinear algebra

[′məl·tə‚lin·ē·ər ′al·jə·brə]
(mathematics)
The study of functions of several variables which are linear relative to each variable.
References in periodicals archive ?
Xiong, "On Hom-Lie algebras," Linear and Multilinear Algebra, vol.
Wang, "The consistency and the exact solutions to a system of matrix equations," Linear and Multilinear Algebra, vol.
Chen, "Essential, Weyl and Browder spectra of unbounded upper triangular operator matrices," Linear and Multilinear Algebra, vol.
Li, "Deformations and extensions of Lie-Yamaguti algebras," Linear and Multilinear Algebra, vol.
Hu, "The 1-inverse of the Laplacian of subdivision-vertex and subdivision-edge coronae with applications," Linear and Multilinear Algebra, vol.
He covers the background on algebraic structures; matrices; matrices with special structure; the interplay of geometry and linear algebra; modules, independence, and classification theorems; and universal mapping properties and multilinear algebra.
Tavallaee, On the non-abelian tensor product of Lie algebras, Linear Multilinear Algebra 58 (2010), 333-341.
This is followed by a range of current topics such as multilinear algebra, matrix polynomials and equations, perturbation theory, pseudospectra, inverse problems, integral domains, and spectral sets, among many others.
Pan, "A note on the second largest eigenvalue of the Laplacian matrix of a graph," Linear and Multilinear Algebra, vol.
Ye, "On the Kirchhoff index of some toroidal lattices," Linear and Multilinear Algebra, vol.
In mathematical physics, a Geometric Algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non-degenerate quadratic form.
Kirkland, A bound on algebraic connectivity of a graph in terms of the number of cutpoints, Linear Multilinear Algebra, 47 (2000) 93-103.
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