A WAVELET TRANSFORM APPROACH TO INVERSE PROBLEMS OF VANDERMONDE TYPE SYSTEMS

Inverse Problems of Vandermonde type systems have been solved using th e discrete wavelet transform. The inverse matrices of the transformed subsystems were calculated, thereby locating the largest well-conditio ned submatrix. The reduced system was solved and the solution was inve rsely transformed. Results were compared between two different wavelet basis functions, indicating that Daubechies-4 wavelets lead to much m ore accurate solutions than Haar wavelets. Three simple techniques for eliminating another systematic noise are also proposed to further imp rove the accuracy of the final solution.