nLab QR decomposition

Context

Linear algebra

homotopy theory, (∞,1)-category theory, homotopy type theory

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed

models: topological, simplicial, localic, …

see also algebraic topology

Introductions

Definitions

Paths and cylinders

Homotopy groups

Basic facts

Theorems

Contents

Idea

In linear algebra, the decomposition of a matrix MM as the matrix product M=QRM = Q R of

and

is is called QR decomposition or QR factorization.

Properties

Computation

QR decompositions may be computed via

Literature

Relation of QR decompositions (and some other 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 25, 2024 at 11:03:19. See the history of this page for a list of all contributions to it.