Inner products, norms, orthogonality, Gram-Schmidt, orthogonal projections, least squares, QR factorization, Hermitian spaces, and quadratic forms.
| Chapter | Title |
|---|---|
| 45 | Inner Products |
| 46 | Norms and Metrics |
| 47 | Orthogonality |
| 48 | Orthogonal Complements |
| 49 | Orthonormal Bases |
| 50 | Gram-Schmidt Orthogonalization |
| 51 | Orthogonal Projections |
| 52 | Least Squares Problems |
| 53 | QR Factorization |
| 54 | Unitary and Orthogonal Matrices |
| 55 | Hermitian Spaces |
| 56 | Positive Definite Matrices |
| 57 | Quadratic Forms |
| 58 | Sylvester’s Law of Inertia |
Chapter 45. Inner Products
Chapter 46. Norms and Metrics
Chapter 47. Orthogonality
Chapter 48. Orthogonal Complements
Chapter 49. Orthonormal Bases
Chapter 50. Gram-Schmidt Orthogonalization
Chapter 51. Orthogonal Projections
Chapter 52. Least Squares Problems
Chapter 53. QR Factorization
Chapter 54. Unitary and Orthogonal Matrices
Chapter 55. Hermitian Spaces
Chapter 56. Hermitian and Normal Matrices
Chapter 57. Singular Value Decomposition
Chapter 58. Sylvester's Law of Inertia