5 papers · 1 filter
On Residual norms in the Rayleigh-Ritz and refined Projection methods
Mashetti Ravibabu
This paper derives bounds for the ratio of residual norms in the refined and Rayleigh- Ritz projection methods. To do this, it uses the Least squares and line search projection met…
On Harmonic Ritz vectors and the stagnation of GMRES
Mashetti Ravibabu
This paper derives a necessary and sufficient condition for the coincidence of Harmonic residual vectors and the residual vector in GMRES. The properties of the harmonic Ritz value…
Stability analysis of improved Two-level orthogonal Arnoldi procedure
Mashetti Ravibabu
The SOAR method for computing an orthonormal basis of a second-order Krylov subspace can be numerically unstable (see Lu et al. (2016)). In the Two-level orthogonal Arnoldi(TOAR) p…
A modification of the Jacobi-Davidson method
Mashetti Ravibabu
Each iteration in Jacobi-Davidson method for solving large sparse eigenvalue problems involves two phases, called subspace expansion and eigen pair extraction. The subspace expansi…
GMRES with Singular Vector Approximations
Mashetti Ravibabu
This paper has proposed the GMRES that augments Krylov subspaces with a set of approximate right singular vectors. The proposed method suppresses the error norms of a linear system…