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:

Reference manual:

jack.pdf

Downloads:

Package source:	jack_6.1.0.tar.gz
Windows binaries:	r-devel: jack_6.1.0.zip, r-release: jack_6.1.0.zip, r-oldrel: jack_6.1.0.zip
macOS binaries:	r-release (arm64): jack_6.1.0.tgz, r-oldrel (arm64): jack_6.1.0.tgz, r-release (x86_64): jack_6.1.0.tgz, r-oldrel (x86_64): jack_6.1.0.tgz
Old sources:	jack archive

Reverse dependencies:

Reverse suggests:

HypergeoMat

Linking:

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