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We know that evaluating annxn Vandennonde determinant usually needs 0(n2) number of arithmetic operations. This paper presents a few fast algorithms for Vandennonde determinants, confluent Vandennonde determinants and generalized Vandennonde determinants. These algorithms need only number of arithmetic operations on a serial computer, or at most need
number of the parallel steps on a SIMD type supercomputer with n processors.
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