Article ID Journal Published Year Pages File Type
4603576 Linear Algebra and its Applications 2008 8 Pages PDF
Abstract

We consider lower-triangular matrices consisting of symmetric polynomials, and we show how to factorize and invert them. Since binomial coefficients and Stirling numbers can be represented in terms of symmetric polynomials, these results contain factorizations and inverses of Pascal and Stirling matrices as special cases. This work generalizes that of several other authors on Pascal and Stirling matrices.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory