Abstract
GMRES is a popular iterative method for the solution of large linear systems of equations with a square nonsingular matrix. When the matrix is singular, GMRES may break down before an acceptable approximate solution has been determined. This paper discusses properties of GMRES solutions at breakdown and presents a modification of GMRES to overcome the breakdown.
Original language | English |
---|---|
Pages (from-to) | 1001-1021 |
Number of pages | 21 |
Journal | SIAM Journal on Matrix Analysis and Applications |
Volume | 26 |
Issue number | 4 |
DOIs | |
State | Published - 2005 |
Keywords
- Iterative method
- Krylov subspace
- Linear system
- Singular matrix
ASJC Scopus subject areas
- Analysis