Source: wikibot/krylov-subspace
= Krylov subspace
{wiki=Krylov_subspace}
Krylov subspace refers to a sequence of vector spaces that are generated by the repeated application of a matrix (or operator) to a given vector. The Krylov subspace is particularly important in numerical linear algebra for solving systems of linear equations, eigenvalue problems, and for iterative methods such as GMRES (Generalized Minimal Residual), Conjugate Gradient, and others.