Calculation of zonal polynomials of 3×3 positive definite symmetric matrices
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A zonal polynomial identity is derived and is used to construct algorithms for the calculation of the zonal polynomials of 2×2 and 3×3 positive definite symmetric matrices.
KeywordsLatent Root Recurrence Relation Multivariate Distribution Beltrami Operator Positive Definite Symmetric Matrix
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- Parkhurst, H. M. and James, A. T. (1975). Zonal Polynomials of order 1 through 12,Selected Tables in Mathematical Statistics, Vol. 2, (ed. Harter, H. L. and Owen, D. B.) I.M.S.Google Scholar
© The Institute of Statistical Mathematics, Tokyo 1979