GMRES algorithms over 35 years
Qinmeng Zou
Abstract
This paper is about GMRES algorithms for the solution of nonsingular linear systems . We first consider basic algorithms and study their convergence. We then focus on acceleration strategies and parallel algorithms that are useful for solving challenging systems. We also briefly discuss other problems, such as systems with multiple right-hand sides, shifted systems, and singular systems.
Topics & Concepts
Generalized minimal residual methodInvertible matrixLinear systemAlgorithmConvergence (economics)Focus (optics)AccelerationComputer scienceMathematicsMathematical optimizationIterative methodMathematical analysisPure mathematicsEconomicsPhysicsClassical mechanicsEconomic growthOpticsMatrix Theory and AlgorithmsElectromagnetic Scattering and AnalysisNumerical methods for differential equations