FOM, or 'factor of merit', is a term used in Krylov subspace methods that quantifies the efficiency of an iterative solver by comparing the number of iterations needed to achieve a desired accuracy relative to the problem's characteristics. It serves as a performance measure, helping to evaluate how well the method converges for different types of problems and matrices. Understanding the FOM is crucial for selecting appropriate Krylov subspace methods and optimizing their performance in computational tasks.
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