jack: Jack, Zonal, Schur, and Other Symmetric Polynomials
Schur polynomials appear in combinatorics and zonal
polynomials appear in random matrix theory. They are particular cases
of Jack polynomials. This package allows to compute these polynomials
and other symmetric multivariate polynomials: flagged Schur
polynomials, factorial Schur polynomials, t-Schur polynomials,
Hall-Littlewood polynomials, Macdonald polynomials, and modified
Macdonald polynomials. In addition, it can compute the Kostka-Jack
numbers, the Kostka-Foulkes polynomials, the Kostka-Macdonald
polynomials, and the Hall polynomials. Mainly based on Demmel &
Koev's paper (2006) <doi:10.1090/S0025-5718-05-01780-1> and
Macdonald's book (1995) <doi:10.1093/oso/9780198534891.003.0001>.
| Version: |
6.1.0 |
| Depends: |
qspray (≥ 3.1.0), ratioOfQsprays (≥ 1.1.0), symbolicQspray (≥ 1.1.0) |
| Imports: |
DescTools, gmp, methods, multicool, mvp, partitions, RationalMatrix, Rcpp, spray, syt (≥ 0.5.0), utils |
| LinkingTo: |
BH, qspray, ratioOfQsprays, Rcpp, RcppCGAL, symbolicQspray |
| Suggests: |
testthat |
| Published: |
2024-07-29 |
| DOI: |
10.32614/CRAN.package.jack |
| Author: |
Stéphane Laurent [aut, cre] |
| Maintainer: |
Stéphane Laurent <laurent_step at outlook.fr> |
| BugReports: |
https://github.com/stla/jackR/issues |
| License: |
GPL-3 |
| URL: |
https://github.com/stla/jackR |
| NeedsCompilation: |
yes |
| SystemRequirements: |
C++17, gmp, mpfr |
| Materials: |
README, NEWS |
| In views: |
NumericalMathematics |
| CRAN checks: |
jack results |
Documentation:
Downloads:
Reverse dependencies:
Linking:
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