Iterative algorithms for computing the singular subspace of a matrix associated with its smallest singular values
From MaRDI portal
Publication:1176528
DOI10.1016/0024-3795(91)90399-HzbMath0741.65031MaRDI QIDQ1176528
Publication date: 25 June 1992
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
convergencesingular value decompositioniterative algorithmssingular valuesinverse iterationexperimental resultsChebyshev iterationsingular vector
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)
Related Items
Computation of the fundamental singular subspace of a large matrix ⋮ Clusters in Markov chains via singular vectors of Laplacian matrices ⋮ An Ensemble Kalman Filter Implementation Based on Modified Cholesky Decomposition for Inverse Covariance Matrix Estimation ⋮ A fast algorithm for the recursive calculation of dominant singular subspaces ⋮ Computing multiple roots of inexact polynomials
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An efficient and reliable algorithm for computing the singular subspace of a matrix, associated with its smallest singular values
- The partial total least squares algorithm
- A new look at the Lanczos algorithm for solving symmetric systems of linear equations
- Approximation of monomials by lower degree polynomials
- Computational aspects of F. L. Bauer's simultaneous iteration method
- Simultaneous iteration method for symmetric matrices
- Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
- Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations
- Accurate Singular Values of Bidiagonal Matrices
- Analysis and Solution of the Nongeneric Total Least Squares Problem
- Iterative speed improvement for solving slowly varying total least squares problems
- A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix