| 1 |
Introduction |
| 2 |
Matrix Jacobians (the 2x2 case) |
| 3 |
Matrix Jacobians (the 2x2 case) (cont.) |
| 4 |
Matrix Jacobians (the 3x3 case) |
| 5 |
Matrix Jacobians and Spherical Coordinates |
| 6 |
Matrix Jacobians with Wedge Products |
| 7 |
Mechanics of Wedging |
| 8 |
Plucker Coordinates |
| 9 |
Jacobians of Matrix Factorizations |
| 10 |
Jacobians of Matrix Factorizations (cont.) |
| 11 |
Householder Transformations and the Stiefel Manifold |
| 12 |
The Cauchy-Binet Theorem |
| 13 |
Matrix Jacobians Interpreted Using the Cauchy-Binet Theorem |
| 14 |
Telatar's Paper and the Cauchy-Binet Theorem |
| 15 |
Level Densities and the Cauchy-Binet Theorem |
| 16 |
Orthogonal Polynomials |
| 17 |
Matrix Integrals and Orthogonal Polynomials |
| 18 |
Hypergeometric Functions of Matrix Arguments |
| 19 |
Hypergeometric Functions of Matrix Arguments (cont.) |
| 20 |
Computing Multivariate Orthogonal Polynomials Symbolically |
| 21 |
Random Matrix Theory and Wireless Communications - I |
| 22 |
Random Matrix Theory and Wireless Communications - II |
| 23 |
Random Matrix Theory and Wireless Communications - III |
| 24 |
Projects |
| 25 |
Projects (cont.) |
| 26 |
Projects (cont.) |
| 27 |
Projects (cont.) |
| 28 |
Advances and Open Research Areas in Random Matrix Theory |
