Residual Correction Algorithms

Victor Pan, Lehman College

Structured matrices such as Toeplitz, Hankel, Cauchy and Vandermonde matrices, are heavily used scientific and engineering computations and signal processing. The solution of a structured linear system of equations is among the most frequent operations in these areas. However the current approach to these algorithms has two deficiencies: inherent resistance to parallel acceleration and some numerical stability problems. To control these problems, one must use Residual Correction (RC) iterative methods. It is the goal of this project to extend experimental tests done in the CUNY Graduate Center and Lehman College with RC algorithms in order to yield a yield practical implementation for commercial use. The potential application of these algorithms is virtually unlimited, with initial commercialization contacts targeted to be in the engineering and computer markets.

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