MOPS: multivariate orthogonal polynomials (symbolically)

From MaRDI portal
Publication:2455747

DOI10.1016/j.jsc.2007.01.005zbMath1122.33019arXivmath-ph/0409066OpenAlexW2154367938MaRDI QIDQ2455747

Gene Shuman, Alan Edelman, Ioana Dumitriu

Publication date: 26 October 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409066



Related Items

The correlated Jacobi and the correlated Cauchy-Lorentz ensembles, Formulas for generalized two-qubit separability probabilities, The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble, Sturm sequences and random eigenvalue distributions, The Horn problem for real symmetric and quaternionic self-dual matrices, Multivariate orthogonal polynomials and integrable systems, PROPERTIES OF THE INVERSE OF A NONCENTRAL WISHART MATRIX, Moments of the Gaussian β ensembles and the large-N expansion of the densities, Matrix variate distribution theory under elliptical models -- V: the non-central Wishart and inverted Wishart distributions, Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities, Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density, Algorithm for the product of Jack polynomials and its application to the sphericity test, Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles, The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source. I, Monic non-commutative orthogonal polynomials, Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations, An arithmetic property of moments of the \(\beta\)-Hermite ensemble and certain map enumerators, On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures, Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians, UMVU estimation of the ratio of powers of normal generalized variances under correlation, Numerical hyperinterpolation over nonstandard planar regions, On Wishart and noncentral Wishart distributions on symmetric cones, Free Meixner states, Symmetric function theory and unitary invariant ensembles, Random matrices with external source and KP τ functions, The beta-Wishart ensemble, Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians, DETECTION OF WEAK SIGNALS IN HIGH-DIMENSIONAL COMPLEX-VALUED DATA, Three term recurrence for the evaluation of multivariate orthogonal polynomials, Statistical eigen-inference from large Wishart matrices, Statistical properties of eigenvalues of Laplace-Beltrami operators, MOPS, Accurate and efficient evaluation of Schur and Jack functions, Relations between moments for the Jacobi and Cauchy random matrix ensembles, Numerical computation for the exact distribution of Roy's largest root statistic under linear alternative, Linear differential equations for the resolvents of the classical matrix ensembles, Hypergeometric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models, Smallest eigenvalue distributions for two classes of β-Jacobi ensembles


Uses Software


Cites Work