# NLA

> Source: https://ollybritton.com/notes/uni/part-c/mt25/nla/ · Updated: 2026-05-18

- [Course - Numerical Linear Algebra MT25](https://ollybritton.com/notes/uni/part-c/mt25/nla/numerical-linear-algebra/)
- [Notes - NLA MT25, Arnoldi decomposition and iteration](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/arnoldi-decomposition-and-iteration/)
- [Notes - NLA MT25, Chebyshev polynomials](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/chebyshev-polynomials/)
- [Notes - NLA MT25, Cholesky factorisation](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/cholesky-factorisation/)
- [Notes - NLA MT25, Conjugate gradient method](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/conjugate-gradient-method/)
- [Notes - NLA MT25, Courant-Fischer minmax theorem](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/courant-fischer-minmax-theorem/)
- [Notes - NLA MT25, CUR approximation](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/cur-approximation/)
- [Notes - NLA MT25, Eigenvalue decomposition](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/eigenvalue-decomposition/)
- [Notes - NLA MT25, Eigenvalue problems](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/eigenvalue-problems/)
- [Notes - NLA MT25, Gaussian random matrices](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/gaussian-random-matrices/)
- [Notes - NLA MT25, Givens rotations](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/givens-rotations/)
- [Notes - NLA MT25, GMRES algorithm](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/gmres-algorithm/)
- [Notes - NLA MT25, HMT algorithm](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/hmt-algorithm/)
- [Notes - NLA MT25, Krylov subspace methods](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/krylov-subspace-methods/)
- [Notes - NLA MT25, Lanczos algorithm](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/lanczos-algorithm/)
- [Notes - NLA MT25, Lanczos decomposition and iteration](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/lanczos-decomposition-and-iteration/)
- [Notes - NLA MT25, Least-squares](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/least-squares/)
- [Notes - NLA MT25, Linear systems](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/linear-systems/)
- [Notes - NLA MT25, LU factorisation](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/lu-factorisation/)
- [Notes - NLA MT25, Marchenko-Pastur theorem](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/marchenko-pastur-theorem/)
- [Notes - NLA MT25, Numerical stability](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/numerical-stability/)
- [Notes - NLA MT25, Overview of results and methods](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/overview-of-results-and-methods/)
- [Notes - NLA MT25, Power method](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/power-method/)
- [Notes - NLA MT25, Pseudoinverses](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/pseudoinverses/)
- [Notes - NLA MT25, QR algorithm](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/qr-algorithm/)
- [Notes - NLA MT25, QR factorisation](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/qr-factorisation/)
- [Notes - NLA MT25, Randomised least-squares](https://ollybritton.com/notes/uni/part-c/mt25/nla/randomised-least-squares/)
- [Notes - NLA MT25, Rayleigh-Ritz algorithm](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/rayleigh-ritz-algorithm/)
- [Notes - NLA MT25, Schur decomposition](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/schur-decomposition/)
- [Notes - NLA MT25, Singular value decomposition](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/singular-value-decomposition/)
- [Notes - NLA MT25, Structured matrices](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/structured-matrices/)
- [Notes - NLA MT25, Subspaces](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/subspaces/)
- [Notes - NLA MT25, Useful miscellany](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/useful-miscellany/)
- [Notes - NLA MT25, Vector and matrix norms](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/vector-and-matrix-norms/)
- [Notes - NLA MT25, Weyl's inequality](https://ollybritton.com/notes/uni/part-c/mt25/nla/notes/weyls-inequality/)

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