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linear-solvers

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Select and configure linear solvers for systems Ax=b in dense and sparse problems. Use when choosing direct vs iterative methods, diagnosing convergence issues, estimating conditioning, selecting preconditioners, or debugging stagnation in GMRES/CG/BiCGSTAB.

When to use

• choosing direct vs iterative methods
• diagnosing convergence issues
• estimating conditioning
• selecting preconditioners
• debugging stagnation in GMRES/CG/BiCGSTAB

When not to use

• **Large dense matrices**: Direct solvers may run out of memory
• **Highly indefinite**: Standard preconditioners may fail
• **Saddle-point**: Requires specialized block preconditioners

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