Arnoldi iteration

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkbp:application iterative methods for linear systems
solving large sparse eigenvalue problems
gptkbp:category gptkb:matrix_decomposition
gptkbp:field numerical linear algebra
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:Numerical_Linear_Algebra
gptkb:Krylov_subspace
gptkb:Lanczos_algorithm
gptkb:Saad–Schultz_algorithm
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label Arnoldi iteration