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New Methods for Finding the nth Root of a Number

Nitin A Jain, Kushal D Murthy, Dr. Hamsapriye

New methods for finding the nth root of a positive number m, to any degree of accuracy, are discussed. These methods are based on finding eigen values and eigen vectors of a special matrix. For even order matrices, the method is founded on the well-known power method. The desired root and its higher powers can also be obtained from the same matrix.