Calculation of zonal polynomials of 3×3 positive definite symmetric matrices

Rameshwar D. Gupta; Donald Richards

doi:10.1007/BF02480277

Calculation of zonal polynomials of 3×3 positive definite symmetric matrices

Rameshwar D. Gupta
, Donald Richards

Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	207-213
Number of pages	7
Journal	Annals of the Institute of Statistical Mathematics
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/BF02480277
State	Published - Dec 1979

All Science Journal Classification (ASJC) codes

Statistics and Probability

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10.1007/BF02480277

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title = "Calculation of zonal polynomials of 3×3 positive definite symmetric matrices",

abstract = "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.",

author = "Gupta, \{Rameshwar D.\} and Donald Richards",

year = "1979",

month = dec,

doi = "10.1007/BF02480277",

language = "English (US)",

volume = "31",

pages = "207--213",

journal = "Annals of the Institute of Statistical Mathematics",

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publisher = "Springer Netherlands",

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AU - Gupta, Rameshwar D.

AU - Richards, Donald

PY - 1979/12

Y1 - 1979/12

N2 - 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.

AB - 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.

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AN - SCOPUS:51649160244

SN - 0020-3157

VL - 31

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JO - Annals of the Institute of Statistical Mathematics

JF - Annals of the Institute of Statistical Mathematics

IS - 1

ER -

Calculation of zonal polynomials of 3×3 positive definite symmetric matrices

Abstract

All Science Journal Classification (ASJC) codes

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