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VII. Numerical Linear Algebra

Floating point arithmetic, conditioning, stability, iterative solvers, Jacobi, Gauss-Seidel, conjugate gradient, Krylov subspaces, QR algorithm, sparse and randomized methods.

ChapterTitle
85Floating Point Arithmetic
86Conditioning and Stability
87Error Analysis
88Iterative Methods for Linear Systems
89Jacobi Method
90Gauss-Seidel Method
91Conjugate Gradient Method
92Krylov Subspaces
93Power Iteration
94QR Algorithm
95Sparse Matrices
96Structured Matrices
97Randomized Linear Algebra