i) Majorization and doubly stochastic matrices. Matrix Decomposition Theorems
(Polar, QR, LR, SVD etc.) and their applications. Perturbation Theory.
ii) Nonnegative matrices and their applications. Wavelets and the Fast Fourier
Transform. Basic ideas of matrix computations.
Suggested Texts :
(a) R. Bhatia, Matrix Analysis, GTM (169), Springer (Indian reprint 2004).
https://www.isibang.ac.in/~adean/infsys/database/MMath/E28ALA.html
- Teacher: Soumyashant Nayak