multilinear array
1Array data type — Not to be confused with Array data structure. In computer science, an array type is a data type that is meant to describe a collection of elements (values or variables), each selected by one or more indices that can be computed at run time by the …
2Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… …
3Tensor product — In mathematics, the tensor product, denoted by otimes, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules. In each case the significance of the symbol is the same:… …
4Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …
5Principal component analysis — PCA of a multivariate Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the (0.878, 0.478) direction and of 1 in the orthogonal direction. The vectors shown are the eigenvectors of the covariance matrix scaled by… …
6Covariance and contravariance of vectors — For other uses of covariant or contravariant , see covariance and contravariance. In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities… …
7CP decomposition — In multilinear algebra, the canonical polyadic decomposition (CPD), historically known as PARAFAC and later CANDECOMP, is a generalization of the matrix singular value decomposition (SVD) to tensors, with many applications in in statistics,… …
8Hyperdeterminant — In algebra, the hyperdeterminant is a generalisation of the determinant. Whereas a determinant is a scalar valued function defined on an n x n square matrix, a hyperdeterminant is defined on a multidimensional array of numbers or hypermatrix.… …
9Tensor (intrinsic definition) — For an introduction to the nature and significance of tensors in a broad context, see Tensor. In mathematics, the modern component free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of… …
10Dyadic tensor — In multilinear algebra, a dyadic is a second rank tensor written in a special notation, formed by juxtaposing pairs of vectors, along with a notation for manipulating such expressions analogous to the rules for matrix algebra. Each component of a …
