Title

Symmetric Polynomials, Pascal Matrices, and Stirling Matrices

Document Type

Article

Publication Date

2-1-2008

Publication Title

Linear Algebra and its Applications

Department

Mathematics and Computer Science

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.

Volume

428

Issue

4

pp.

1127-1134

ISSN

0024-3795