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MATH 858P , Fall 2019 Notes and Summary

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Lecture Date What was covered Notes
1 8/27/19 Introduction. Determinant product formula.
2 8/29/19 Matrix Factorizations: QR, Cholesky, Spectral, SVD, Schur decomposition and flags.
3 9/6/19 Matrix Norms: lp->lq
4 9/5/19 Lower bounds; SDPs to compute normas and bounds get assignment 1
5 9/10/19 Complex interpolation (finite dimensional Riesz-Thorin theorem) MATH 3206
6 9/12/19 Numerical Range, Norms: numerical radius, Operator Norm MATH 3206
7 9/17/19
8 9/19/19 Jubilee of Fourier Analysis and Applications MATH 3206
9 9/24/19
10 9/26/19
11 10/01/19  
12 10/03/19
13 10/08/19  
14 10/10/19  
15 10/15/19 Mid-Term Take home.
16 10/17/19 Weyl Perturbation Theorem for Singular Values, Majorisation of Singular Values, Unitarily Invariant Norms  
17 10/22/19 Holder and Cauchy Inequalities MATH 3206
18 10/24/19

Arithmetic Mean - Geometric Mean Inequality

 MATH 3206
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Final Exam		 FINAL EXAM