Back جبر متعدد الخطية Arabic Álxebra multilineal AST Күп һыҙыҡлы алгебра Bashkir Полилинейна алгебра Bulgarian Àlgebra multilineal Catalan Полилинилле алгебра CV Multilineare Algebra German Πολυγραμμική άλγεβρα Greek Álgebra multilineal Spanish Aljebra multilineal Basque
Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices, tensors, multivectors, systems of linear equations, higher-dimensional spaces, determinants, inner and outer products, and dual spaces. It is a mathematical tool used in engineering, machine learning, physics, and mathematics.[1]
- ^ Pandey, Divyanshu; Venugopal, Adithya; Leib, Harry (2024). "Linear to multi-linear algebra and systems using tensors". Frontiers in Applied Mathematics and Statistics. 9. arXiv:2304.10658. doi:10.3389/fams.2023.1259836. ISSN 2297-4687.