0204157 Funderlic, Robert E. North Carolina State U
This section summarizes the progress the co-PI has made under the support of NSF grants DMS-9804759 (07/01/98 06/30/00)for the project Adaptive Control Algorithm for Adaptive Optics Applications and DMS-0073056 (08/01/00 7/31/03)for the project Algorithms for the Inverse Problem of Matrix Con- struction of the former,the objectives are to design,analyze,and evaluate adaptive control algorithms for adaptive optics applications.The co-PI has established a mathematical framework for the linear econstructor problem in adaptive optics,and has made progress in the understanding of a latency-delay control algorithm. Fo the latter,the proposed objectives were to investigate both the theory and the practice of constructing a physical model,described mathematically in the form of a matrix,from prescribed spectral data.The co-PI has collected,classi .ed,and de .ned the egimen of inverse eigenvalue problems as a whole,and has developed new numerical methods for tackling some inverse eigenvalue problems.Thus far,a signi .cant portion of these objectives has been accomplished under the NSF support as is evidenced below.
