A posteriori error bounds for the block-Lanczos method for matrix function approximation
From MaRDI portal
Publication:6664396
DOI10.1007/s11075-024-01819-7MaRDI QIDQ6664396
Publication date: 16 January 2025
Published in: Numerical Algorithms (Search for Journal in Brave)
Cites Work
- Unnamed Item
- Unnamed Item
- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems
- Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions
- On the real convergence rate of the conjugate gradient method
- The block conjugate gradient algorithm and related methods
- Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem
- Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues
- Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds
- On error estimation in the conjugate gradient method and why it works in finite precision computations
- Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
- Estimating the error in matrix function approximations
- Accurate error estimation in CG
- Approximating the extreme Ritz values and upper bounds for the \(A\)-norm of the error in CG
- Block Krylov subspace methods for functions of matrices
- Some large-scale matrix computation problems
- 2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear Systems and Rational Matrix Functions
- A restarted Lanczos approximation to functions of a symmetric matrix
- Euclidean-Norm Error Bounds for SYMMLQ and CG
- Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
- Stability of the Lanczos Method for Matrix Function Approximation
- Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM
- Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices
- Estimating the diagonal of matrix functions
- Two polynomial methods of calculating functions of symmetric matrices
- Error Bounds for Lanczos-Based Matrix Function Approximation
- Krylov-Aware Stochastic Trace Estimation
- Hutch++: Optimal Stochastic Trace Estimation
This page was built for publication: A posteriori error bounds for the block-Lanczos method for matrix function approximation