Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number
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Publication:5857629
DOI10.1137/20M1327938zbMath1462.65041MaRDI QIDQ5857629
Massimiliano Fasi, Nicholas J. Higham
Publication date: 1 April 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05)
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Uses Software
Cites Work
- How to generate random matrices from the classical compact groups
- Some remarks on the condition number of a real random square matrix
- Optimally scaled matrices
- Spectral and computational properties of band symmetric Toeplitz matrices
- Isotropic distributions of test matrices
- Error Analysis of Direct Methods of Matrix Inversion
- Scaling for Numerical Stability in Gaussian Elimination
- The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
- The Discrete Cosine Transform
- ScaLAPACK Users' Guide
- Algorithm 694
- Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
- Wavelet transforms versus Fourier transforms
- Large Growth Factors in Gaussian Elimination with Pivoting
- Accuracy and Stability of Numerical Algorithms
- Random Matrices Generating Large Growth in LU Factorization with Pivoting
- Accelerating Numerical Dense Linear Algebra Calculations with GPUs
- On a Matrix Algebra Related to the Discrete Hartley Transform
- The Helmert Matrices
- On the Distribution of a Weighted Estimate of Variance and on Analysis of Variance in Certain Cases of Unequal Weighting
