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In this program

Power method and inverse iteration
Rayleigh quotient
QR algorithm and Francis shifts
Lanczos and Arnoldi processes
Singular value decomposition algorithms
Pseudospectra
Sensitivity of eigenvalues (introduction)

Eigenvalue and SVD computations

Lanczos and Arnoldi processes

Numerical linear algebra · Standard syllabus

Topic

Lanczos and Arnoldi processes

Practice by unit: Eigenvalue and SVD computations

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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