Krylov subspace

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category linear algebra
subspace
gptkbp:defines span of {b, Ab, A^2b, ..., A^{k-1}b} for matrix A and vector b
gptkbp:dimensions at most n for n x n matrix A
gptkbp:field numerical linear algebra
https://www.w3.org/2000/01/rdf-schema#label Krylov subspace
gptkbp:namedAfter gptkb:Alexei_Krylov
gptkbp:relatedTo gptkb:Lanczos_algorithm
gptkb:Arnoldi_iteration
Conjugate Gradient method
GMRES
gptkbp:usedIn iterative methods
solving linear systems
eigenvalue algorithms
gptkbp:bfsParent gptkb:Alexey_Krylov
gptkbp:bfsLayer 6