The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output
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Publication:5146700
DOI10.1137/19M1275231zbMath1461.65047arXiv1904.06012OpenAlexW3084053751MaRDI QIDQ5146700
Archit Kulkarni, Jorge Garza Vargas
Publication date: 26 January 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.06012
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Eigenvalues, singular values, and eigenvectors (15A18)
Uses Software
Cites Work
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- An implicit restarted Lanczos method for large symmetric eigenvalue problems
- Adaptive estimation of a quadratic functional by model selection.
- Which Eigenvalues Are Found by the Lanczos Method?
- Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method
- Approximating Spectral Densities of Large Matrices
- A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems
- Numerical Methods for Large Eigenvalue Problems
- Further Analysis of the Arnoldi Process for Eigenvalue Problems
- A note on a method for generating points uniformly on n -dimensional spheres
- On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
- Hankel forms
- Probabilistic Bounds on the Extremal Eigenvalues and Condition Number by the Lanczos Algorithm
- High-Dimensional Probability
- A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum
- Tight query complexity lower bounds for PCA via finite sample deformed wigner law
- Alice and Bob Meet Banach
- Convergence Analysis of Krylov Subspace Iterations with Methods from Potential Theory
- Estimates for Some Computational Techniques in Linear Algebra
- Some new bounds on perturbation of subspaces
- Construction of Gauss-Christoffel Quadrature Formulas
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