multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships.

Subcategories

There are 5 subcategories to this category.

B

• Bilinear forms

C

• Clifford algebras

D

• Determinants

I

• Invariant theory

T

• Tensors

Articles in category "Multilinear algebra"

There are 13 articles in this category.

Multilinear algebra A Algebraic form B Bilinear operator C Complexification

D Definite bilinear form E Einstein notation Exterior algebra G Glossary of tensor theory M Multilinear form

M cont. Multiple cross products P Plücker coordinates T Tensor algebra Tensor product