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In this program

Krylov subspace methods: CG, MINRES, GMRES
Preconditioners: Jacobi, SSOR, incomplete factorizations
Convergence theory for SPD systems
Nonsymmetric systems and flexible Krylov variants
Restart strategies
Breakdown remedies

Iterative methods for linear systems

Convergence theory for SPD systems

Numerical linear algebra · Standard syllabus

Topic

Convergence theory for SPD systems

Practice by unit: Iterative methods for linear systems

Graduate Numerical Linear Algebra — scope drawn from open NLA notes (e.g. Trefethen/Bau-style OER mirrors) and typical US graduate NLA syllabi.

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