4 papers
Iterated Gauss-Seidel GMRES
Stephen Thomas, Erin Carson, Miro Rozložník +2
The GMRES algorithm of Saad and Schultz (1986) is an iterative method for approximately solving linear systems , with initial guess and residual ${\bf…
An overview of block Gram-Schmidt methods and their stability properties
Erin Carson, Kathryn Lund, Miroslav Rozložník +1
Block Gram-Schmidt algorithms serve as essential kernels in many scientific computing applications, but for many commonly used variants, a rigorous treatment of their stability pro…
Nearly optimal scaling in the SR decomposition
Heike Fassbender, Miroslav Rozloznik, Sanja Singer
In this paper we analyze the nearly optimal block diagonal scalings of the rows of one factor and the columns of the other factor in the triangular form of the SR decomposition. Th…
On GMRES for singular EP and GP systems
Keiichi Morikuni, Miroslav Rozložník
In this contribution, we study the numerical behavior of the Generalized Minimal Residual (GMRES) method for solving singular linear systems. It is known that GMRES determines a le…