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Implement iterative methods from the AMGCL C++ library, a header-only library designed for solving large sparse linear systems using the Algebraic Multigrid (AMG) method. Evaluate AMG as both a standalone solver and as a preconditioner within iterative methods such as Conjugate Gradient, BiCGStab, and GMRES. Compare AMGCL-based iterative methods with the currently implemented solvers to assess performance, stability, and scalability.