A block Householder-based algorithm for the QR decomposition of hierarchical matrices
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Publication:6540316
DOI10.1137/22m1544555zbMATH Open1539.65054MaRDI QIDQ6540316
Vincent Griem, Sabine Le Borne
Publication date: 15 May 2024
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
Cites Work
- Title not available (Why is that?)
- Adaptive recompression of \(\mathcal H\)-matrices for BEM
- Hierarchical LU decomposition-based preconditioners for BEM
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- On the QR decomposition of \({\mathcal {H}}\)-matrices
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Adaptive low-rank approximation of collocation matrices
- Construction and arithmetics of \(\mathcal H\)-matrices
- A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
- Domain decomposition based \({\mathcal H}\)-LU preconditioning
- Construction of a discrete divergence-free basis through orthogonal factorization in \({\mathcal{H}}\)-arithmetic
- Null-space preconditioners for saddle point systems
- Hierarchical Matrices: Algorithms and Analysis
- Preconditioned Nullspace Method for the Two-Dimensional Oseen Problem
- The WY Representation for Products of Householder Matrices
- A Storage-Efficient $WY$ Representation for Products of Householder Transformations
- On the Best Approximation of the Hierarchical Matrix Product
- Accuracy and Stability of Numerical Algorithms
- Block Modified Gram--Schmidt Algorithms and Their Analysis
- Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation
- A fast algorithm for particle simulations
- Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems
- A block Cholesky‐LU‐based QR factorization for rectangular matrices
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