Lanczos algorithm

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
eigenvalue algorithm
gptkbp:appliesTo large sparse matrices
gptkbp:category gptkb:logic
gptkbp:developedBy gptkb:Cornelius_Lanczos
gptkbp:field computational mathematics
numerical linear algebra
https://www.w3.org/2000/01/rdf-schema#label Lanczos algorithm
gptkbp:improves full reorthogonalization
selective reorthogonalization
gptkbp:introducedIn 1950
gptkbp:limitation numerical instability
loss of orthogonality
gptkbp:namedAfter gptkb:Cornelius_Lanczos
gptkbp:notableFor reducing Hermitian matrices to tridiagonal form
gptkbp:relatedTo gptkb:Arnoldi_iteration
power iteration
Krylov subspace methods
gptkbp:usedFor finding eigenvalues
finding eigenvectors
gptkbp:usedIn gptkb:machine_learning
quantum mechanics
structural engineering
graph analysis
gptkbp:bfsParent gptkb:Cornelius_Lanczos
gptkbp:bfsLayer 6