Arnoldi iteration

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkbp:application iterative methods for linear systems
solving large sparse eigenvalue problems
gptkbp:category matrix decomposition
gptkbp:field numerical linear algebra
https://www.w3.org/2000/01/rdf-schema#label Arnoldi iteration
gptkbp:input square matrix
gptkbp:introduced 1951
gptkbp:namedAfter W. E. Arnoldi
gptkbp:output orthonormal basis of Krylov subspace
upper Hessenberg matrix
gptkbp:relatedTo gptkb:Krylov_subspace
gptkb:Lanczos_algorithm
GMRES
gptkbp:usedFor Krylov subspace methods
eigenvalue computation
gptkbp:bfsParent gptkb:Krylov_subspace
gptkb:Lanczos_algorithm
gptkbp:bfsLayer 7