MTL854
| MTL854 | |
|---|---|
| Interpolation and Approximation | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
MTL854 : Interpolation and Approximation
[edit]Interpolation : general problem, representation theorems, remainder theory, convergence of interpolatory processes. Approximation : best, uniform and least-squares, degree of approximation. Approximation of linear functionals : Optimal approximations in Hilbert spaces, roots and extremals : Convergence of Newton's method in Banach spaces, minimizing functionals on normed linear spaces, applications to integral equations and control theory. Splines : applications to computer-aided design. Filters : linear, least-squares and Chebyshev. Applications to signal processing.