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Multilinear Algebra Werner H. Greub
Publisher: Springer

Jan 25, 2013 - This is pretty trivial example but if you imagine higher dimensional objects, tracking indices would be cumbersome so multi-linear algebra makes life easy. Multilinear Maps in Linear & Abstract Algebra is being discussed at Physics Forums. Quantum multilinear algebra, Mitsuyasu Hashimoto and Takahiro Hayashi Source: Tohoku Math. May 26, 2008 - Offering multiple ways to decompose data orthogonally, we develop a new DR method based on multilinear algebra tools and on ICA. Oct 8, 2011 - Usual flag varieties are projective varieties, hence they have a (commutative) graded coordinate ring. (2) Volume 44, Number 4 (1992), 471-521, euclid. It does not cover much in multilinear algebra though. Dec 15, 2012 - Steeb WH, Hardy Y: Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra. Before that, I was in graduate school studying math (primarily graph theory, but with course work in category theory and numerical/linear algebra as well). Singapore: World Scientific Publishing; 2011. Feb 1, 2002 - "[The first] ten chaptersare an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. Is "Tensor Displays"; this is because the encoding algorithm utilizes multi-linear algebra, in which the images seen from different perspectives are encoding within a tensor (which is just a multidimensional array of numbers). Apr 16, 2009 - [6] Lihua Feng, Qiao Li, Xiaodong Zhang, Minimizing the Laplacian spectral radius of trees with given matching number, Linear Multilinear Algebra, 55(2007) 199--207. Feb 1, 2014 - Categories; Functors; Contravariant Functors; Natural Transformations; Representable Functors and Universal Elements; Adjoint Functors. The author includes exercises and the book is certainly usable by graduate Get alerted on new Springer publications in the subject area of Linear and Multilinear Algebras, Matrix Theory. I have a good background in linear algebra and some real analysis, but I am not interested in tensors as a purely mathematical construct, but for applications in mechanics. May 2, 2014 - Wanted in two states for unlicensed use of multilinear algebra. And tensor algebra are very new concepts to me and I want to understand how to prove the following property of the wedge product: $$\omega\wedge(\eta_{1}+\eta_{2})=\omega\wedge\eta_{1}+\omega\wedge\eta_{2}$$. Cayley A: Desiderata and Suggestions: No. Jun 13, 2007 - So one learns early enough about spectral theorem, polar decomposition, and determinants which are defined using the exterior algebra and volume forms. Thus most of the approaches to quantum flag varieties, define the quantum flag variety via its noncommutative graded algebra of functions (cf.