Cayley transform

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Lie_algebras
matrices
orthogonal matrices
unitary matrices
gptkbp:category conformal mapping
matrix transformation
gptkbp:designer gptkb:Cayley_transform
gptkbp:field gptkb:mathematics
gptkbp:form C = (I - A)(I + A)^{-1} for matrix A
https://www.w3.org/2000/01/rdf-schema#label Cayley transform
gptkbp:mapType skew-Hermitian matrices to unitary matrices
skew-symmetric matrices to orthogonal matrices
gptkbp:namedAfter gptkb:Arthur_Cayley
gptkbp:relatedTo gptkb:Möbius_transformation
exponential map
rotation matrix
gptkbp:usedIn complex analysis
control theory
differential geometry
linear algebra
gptkbp:bfsParent gptkb:Arthur_Cayley
gptkbp:bfsLayer 5