matricesthree
Matricesthree is a term used in theories of linear and multilinear algebra to denote a structured three-dimensional array, extending the familiar concept of a matrix to three indices. In this sense, a matricesthree is a third-order tensor whose entries are denoted a_{i j k} with dimensions I × J × K over a field such as the real or complex numbers.
Unlike two-dimensional matrices, matricesthree cannot in general be fully described by a single set of row
Matricesthree are central to multilinear algebra and data analysis, where three-way data arise naturally in time-evolving
Historically, the term matricesthree is used in discussions of higher-order generalizations of matrices and sometimes appears
Related topics include tensors, three-way arrays, multilinear algebra, tensor decompositions, and tensor contractions.