Return to Colloquia & Seminar listing
Nonnegative interpolation
Student-Run Research Seminar| Speaker: | Fushuai "Black" Jiang, UC Davis |
| Location: | 3106 MSB |
| Start time: | Thu, Jan 17 2019, 12:30PM |
In this talk, we consider the following extension problem of Whitney-type:
Supposed we are given a finite planar set with prescribed nonnegative values on this set. How do we decide the minimal norm of all the globally nonnegative twice continuously differentiable functions (within an order of magnitude) that interpolate these values?
We hope to provide a two-fold answer. First, we want to come up with an algorithm to calculate the minimal norm. Second, we want a find a procedure to recover an interpolant that witnesses the minimal norm.
This is a joint work with Professor Kevin Luli.