On a problem related to the Vandermonde determinant

DOI10.1016/j.dam.2009.04.018zbMath1211.05175OpenAlexW2083087700MaRDI QIDQ967351

Tomohiro Sogabe, Moawwad E. A. El-Mikkawy

Publication date: 28 April 2010

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2009.04.018

zbMATH Keywords

symmetric polynomialsVandermonde matrixVandermonde determinant

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

Unnamed Item, Notes on particular symmetric polynomials with applications, Some New Methods for Generating Convex Functions, Remarks on two symmetric polynomials and some matrices

Cites Work

• Unnamed Item
• LU factorization of the Vandermonde matrix and its applications
• An inverse problem for singular values and the Jacobian of the elementary symmetric functions
• On a connection between the Pascal, Vandermonde and Stirling matrices. I.
• Explicit inverse of a generalized Vandermonde matrix.
• On a connection between the Pascal, Vandermonde and Stirling matrices. II.
• Symmetric functions and the Vandermonde matrix
• Symmetric polynomials, Pascal matrices, and Stirling matrices
• Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients