Concepedia

An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A

H.A. van der Vorst

Journal of Computational and Applied Mathematics · 1987 · 169 citations · 8 references

DOI

Concepts

References

8

Methods of conjugate gradients for solving linear systems

Magnus R. Hestenes, Eduard Stiefel · Journal of research of the National Bureau of Standards · 1952 · 8K citations · Full text

, , +14

Computational Variants of the Lanczos Method for the Eigenproblem

Christopher C. Paige · IMA Journal of Applied Mathematics · 1972 · 415 citations

, , +13

The Lanczos algorithm with selective orthogonalization

Beresford Ν. Parlett, David Scott · Mathematics of Computation · 1979 · 396 citations

, , +15

Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix

Christopher C. Paige · IMA Journal of Applied Mathematics · 1976 · 267 citations

, , +12

On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods

Yousef Saad · SIAM Journal on Numerical Analysis · 1980 · 245 citations

, , +11