IRR: An algorithm for computing the smallest singular value of large scale matrices

International Journal of Computer Mathematics

Volumn 77, Issue 1, 2001, Pages 89-104

  Guo, H ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Inverse Rayleigh Ritz; Lanczos algorithm; Large matrix; Quadratic form; The smallest singular values

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; INVERSE PROBLEMS; MATHEMATICAL TRANSFORMATIONS;

INVERSE-RAYLEIGH-RITZ; LANCZOS ALGORITHM; LARGE SCALE MATRICES; SINGULAR VALUE;

MATRIX ALGEBRA;

EID: 0034951369     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160108805052     Document Type: Article

References (20)

1. Some large-scale matrix computation problems
2. ∞-norm.
3. A Lanczos algorithm for computing singular values and vectors of large matrices
4. The Padé-Rayleigh-Ritz methods for solving large hermitian eigen-problem
5. Accurate singular values and differential qd algorithm
6. Calculating the singular values and pseudoinverse of a matrix
7. Some modified matrix eigenvalue problems
8. Estimates in quadratic formulas
9. Computing trace of function of matrix
10. Estimating the distance to uncontrollability: A fast method and a slow one
11. An algorithm for computing the distance to instability
12. Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblem
13. Approximate solutions and eigenvalue bounds from Krylov subspaces
14. Rational Krylov sequence methods for eigenvalue computation
15. Condition number and equilibration of matrices