• # CHOLMOD

• Referenced in 115 articles [sw04412]
• routines for factorizing sparse symmetric positive definite matrices of the form A or AAT, updating/downdating ... many other sparse matrix functions for both symmetric and unsymmetric matrices. Its supernodal Cholesky factorization ... sparse symmetric positive definite, as well as in several other sparse matrix functions...
• # SF

• Referenced in 43 articles [sw07774]
• provide an environment for computations involving symmetric functions and related structures, such as the characters ... facilities for converting expressions from one symmetric function basis to another, for applying standard operations ... polynomials, or Macdonald’s two-parameter symmetric functions...
• # SCHUR

• Referenced in 27 articles [sw02899]
• calculating properties of Lie groups and symmetric functions. Schur has been designed to answer questions ... some aspect of Lie groups or symmetric functions and yet do not wish...

• Referenced in 25 articles [sw04933]
• spring 2001, and the package currently contains functions to deal with most usual combinatorial classes ... Hopf algebras like the algebra of symmetric functions and many generalizations. There is also some...
• # ScaLAPACK

• Referenced in 418 articles [sw00830]
• bidiagonal and tridiagonal form, reduction of a symmetric-definite/Hermitian-definite generalized eigenproblem to standard form ... Cholesky, and QR, the matrix sign function for eigenproblems, and an HPF interface...
• # SymDIRECT

• Referenced in 17 articles [sw22239]
• Lipschitz global optimization for a symmetric function. We consider a global optimization problem ... symmetric Lipschitz continuous function. An efficient modification of the well-known DIRECT (DIviding RECTangles) method...
• # Concorde

• Referenced in 319 articles [sw04770]
• Concorde is a computer code for the symmetric traveling salesman problem (TSP) and some related ... Concorde callable library includes over 700 functions permitting users to create specialized codes...
• # ACE

• Referenced in 13 articles [sw15066]
• useful in algebraic combinatorics. Functions are mostly related to the symmetric group and handle such ... Young tableaux, divided differences, (non-commutative) symmetric functions and Schubert polynomials. Computer algebra system...
• # Algorithm 840

• Referenced in 27 articles [sw04463]
• derivatives at the grid points. The prolate functions themselves are computed by a Legendre-Galerkin ... equation; this yields a symmetric tridiagonal matrix. The prolate functions are then defined by Legendre ... with $c$ are well-approximated by a symmetric parabola over the whole range of interest...
• # Virtual Permutations

• Referenced in 5 articles [sw40990]
• Affine transitions for involution Stanley symmetric functions. We study a family of symmetric functions ... analogues of Lam’s affine Stanley symmetric functions and generalizations of the involution Stanley symmetric ... functions introduced by Hamaker, Pawlowski, and the first author. Our main result is to prove ... transition formula for affine Stanley symmetric functions and some new technical properties of the strong...
• # BSSasymp

• Referenced in 17 articles [sw16157]
• Some BSS Mixing and Unmixing Matrix Estimates. Functions to compute the asymptotic covariance matrices ... following blind source separation (BSS) methods: symmetric and squared symmetric FastICA, regular and adaptive deflation ... AMUSE and deflation-based and symmetric SOBI. Also functions to estimate these covariances based...
• # SchurRings

• Referenced in 5 articles [sw11785]
• SchurRings: a package for computing with symmetric functions. We describe a software package facilitating computations ... with symmetric functions, with an emphasis on the representation theory of general linear and symmetric...
• # ConformalBlocks

• Referenced in 11 articles [sw08674]
• Most of the functions are in this package are for Sn symmetric divisors and/or symmetrizations ... divisors, but a few functions are included for non-symmetric divisors as well...
• # SCCP

• Referenced in 79 articles [sw03318]
• SCCP It is well known that the symmetric cone complementarity problem (SCCP) is a broad ... special cases. Based on a general smoothing function, we propose in this paper...