Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic

Handbook of Mathematical Functions

1966 • 42,275 citations

The Symmetric Eigenvalue Problem

1998 • 3,238 citations

Solution of Sparse Indefinite Systems of Linear Equations

1975 • 1,568 citations

Unitary quantum time evolution by iterative Lanczos reduction

1986 • 846 citations

The Symmetric Eigenvalue Problem

1981 • 489 citations

The Lanczos algorithm with selective orthogonalization

1979 • 379 citations

Efficient Solution of Parabolic Equations by Krylov Approximation Methods

1992 • 323 citations

Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix

1976 • 261 citations

New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method

1983 • 260 citations

Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem

1980 • 203 citations

Two polynomial methods of calculating functions of symmetric matrices

1989 • 175 citations

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

1987 • 174 citations

Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences

1989 • 157 citations

Dynamic analysis of structures using lanczos co‐ordinates

1984 • 154 citations

Analysis of the symmetric Lanczos algorithm with reorthogonalization methods

1984 • 148 citations

A new look at the Lanczos algorithm for solving symmetric systems of linear equations

1980 • 121 citations

A method for exponential propagation of large systems of stiff nonlinear differential equations

1989 • 111 citations

Interpretation of 3-D effects in long‐offset transient electromagnetic (LOTEM) soundings in the Münsterland area/Germany

1992 • 63 citations

Lanczos method for heat conduction analysis

1987 • 40 citations

The Lanczos Algorithm with Selective Orthogonalization

1979 • 34 citations

The lanczos algorithm for solving symmetric linear systems

1982 • 33 citations

Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues

1992 • 28 citations

The Lanczos phenomenon—An interpretation based upon conjugate gradient optimization

1980 • 16 citations

The Lanczos optimization of a splitting-up method to solve homogeneous evolutionary equations

1992 • 6 citations

Deleted Work

1955 • 0 citations