nLab
matrix decomposition
Redirected from "WKB approximation".
Context
Linear algebra
linear algebra, higher linear algebra
Ingredients
Basic concepts
-
ring, A-∞ ring
-
commutative ring, E-∞ ring
-
module, ∞-module, (∞,n)-module
-
field, ∞-field
-
vector space, 2-vector space
rational vector space
real vector space
complex vector space
-
topological vector space
-
linear basis,
orthogonal basis, orthonormal basis
-
linear map, antilinear map
-
matrix (square, invertible, diagonal, hermitian, symmetric, …)
-
general linear group, matrix group
-
eigenspace, eigenvalue
-
inner product, Hermitian form
Gram-Schmidt process
-
Hilbert space
Theorems
(…)
Contents
Idea
Under matrix decomposition one understands the factoring of matrices as products of matrices of a certain form.
This may and often is also referred to as matrix factorization, which however also has other meanings.
Examples
References
Relation of matrix decompositions to flows of integrable systems:
- P. Deift, L. C. Li, C.Tomei, Matrix factorizations and integrable systems, Commun. Pure Appl. Math. 42 4 (1989) 443-521 [doi:10.1002/cpa.3160420405]
Last revised on June 17, 2024 at 17:42:02.
See the history of this page for a list of all contributions to it.