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For arbitrary precision numbers, reciprocal computing algorithms based on Newton iteration is asymptotically the fastest. In this work we provide a refined algorithm based on the Newton reciprocal algorithm by Brent and Zimmermann in their MCA book. The key techniques used in the refinement are D1 balancing, clear specification, remainder operation, and economical multiplication. The refined algorithm...
As a result of the development of higher speed and heavier load of rail networks, rail defects have been more serious than ever before. This paper introduces the least squares method (LSM) to demodulate multi-frequency signals in electromagnetic rail inspection using eddy current detection. The demodulation speed of LSM is faster than other methods because it can estimate frequencies with one time...
An image reconstruction algorithm based on Tikhonov Regularization algorithm is studied in this paper to improve the accuracy of online image reconstruction in Electromagnetic Tomography (EMT) systems. The method of least squares is employed to reduce the error aroused in the linear approximation of the nonlinear inverse problem. To overcome the ill-posedness, Tikhonov Regularization is introduced...
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