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Numerical Methods of Linear Algebra 2026
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Num Methods 2026
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Lecture 1. Fundamentals of Linear Algebra. Introduction of elementary notation.pdf
Lecture 2. Types and structures of square matrices. Vector and matrix norms.pdf
Lecture 3. Existence of solution. Orthogonality, Gram-Schmidt, QR.pdf
Lecture 4. Matrix factorizations (QR, LU, Cholesky).pdf
Lecture 5. Eigenvalues multiplicities. Canonical forms. Diagonal, jordan, schur, svd.pdf
Lecture 6. Positive definite, Normal and Hermitian matrices. Perturbation analysis.pdf
Lecture 7. Graph representations of sparse matrices. Permutations and reordering.pdf
Lecture 8. Storage schemes for sparse matrices. Discretization of PDE (overview).pdf
Lecture 9. Discretization of PDEs. Finite difference method.pdf
Lecture 10. Overview of FEM. Direct and iterative methods. General formulation of iterative method.pdf
Lecture 11. Classical iterative methods.pdf
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