On the Condition Number of the Shifted Real Ginibre Ensemble
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Publication:5099419
DOI10.1137/21M1424408zbMath1496.15025arXiv2105.13719OpenAlexW3164773199MaRDI QIDQ5099419
László Erdős, Dominik Schröder, Giorgio Cipolloni
Publication date: 31 August 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13719
Analysis of algorithms (68W40) Random matrices (probabilistic aspects) (60B20) Numerical computation of matrix norms, conditioning, scaling (65F35) Random matrices (algebraic aspects) (15B52) Conditioning of matrices (15A12)
Related Items (3)
On the rightmost eigenvalue of non-Hermitian random matrices ⋮ Mesoscopic central limit theorem for non-Hermitian random matrices ⋮ The least singular value of the general deformed Ginibre ensemble
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Cites Work
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- Iterative solution of large sparse systems of equations
- The Ginibre ensemble of real random matrices and its scaling limits
- Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang
- The spectral radius of large random matrices
- Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences
- Circular law
- A stable, polynomial-time algorithm for the eigenpair problem
- On the spectral radius of a random matrix: an upper bound without fourth moment
- On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
- Eigenvectors and controllability of non-Hermitian random matrices and directed graphs
- Fluctuation around the circular law for random matrices with real entries
- On the real Davies' conjecture
- Convergence of the spectral radius of a random matrix through its characteristic polynomial
- The distribution of overlaps between eigenvectors of Ginibre matrices
- Superbosonization of invariant random matrix ensembles
- Edge universality for non-Hermitian random matrices
- Optimal lower bound on the least singular value of the shifted Ginibre ensemble
- Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
- Universality in numerical computations with random data
- Smoothed Analysis of the Condition Numbers and Growth Factors of Matrices
- RANDOM MATRICES: THE CIRCULAR LAW
- Smoothed analysis of algorithms
- The Probability That a Numerical Analysis Problem is Difficult
- Eigenvalues and Condition Numbers of Random Matrices
- Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations
- Upper and Lower Bounds for the Tails of the Distribution of the Condition Number of a Gaussian Matrix
- Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture
- Tails of Condition Number Distributions
- Condition Numbers of Gaussian Random Matrices
- Numerical Inverting of Matrices of High Order. II
- Methods of conjugate gradients for solving linear systems
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