Right-Hand Side Dependent Bounds for GMRES Applied to Ill-Posed Problems

Mathematics

• Residuals 100%
• Eigenvalue 100%
• Posed Problem 100%
• Coefficient Matrix 50%
• Singular System 50%
• Nonnormality 50%
• Small Eigenvalue 50%

Engineering

• Posed Problem 100%
• Eigenvalue 100%
• Largest Eigenvalue 50%
• Right-Hand Side Vector 50%
• Coefficient Matrix 50%

Keyphrases

• Non-normality 50%
• Simpler GMRES 50%
• Residual Components 50%
• Nearly Singular System 50%
• Semi-convergence 50%