Notes on particular symmetric polynomials with applications
From MaRDI portal
Publication:846428
DOI10.1016/j.amc.2009.10.019zbMath1266.05174OpenAlexW2094620292MaRDI QIDQ846428
Tomohiro Sogabe, Moawwad E. A. El-Mikkawy
Publication date: 9 February 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.019
Stirling numbersmatricesLU factorizationdeterminantelementary symmetric polynomialspower sum symmetric polynomialscomplete symmetric polynomials
Bell and Stirling numbers (11B73) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)
Related Items
Unnamed Item ⋮ Asymptotic behaviour of solutions to difference equations involving ratios of elementary symmetric polynomials ⋮ Some New Methods for Generating Convex Functions ⋮ Remarks on two symmetric polynomials and some matrices
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetric functions and P-recursiveness
- A family of symmetric polynomials of the eigenvalues of a matrix
- Generalized Leibniz functional matrices and factorizations of some well-known matrices
- On a problem related to the Vandermonde determinant
- Elementary symmetric polynomials in random variables
- Compact relationships between invariants of classical Lie groups and elementary symmetric polynomials
- Rewriting techniques and degree bounds for higher order symmetric polynomials.
- The descent monomials and a basis for the diagonally symmetric polynomials
- Schur functions: Theme and variations
- 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.
- The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity
- Birth processes and symmetric polynomials
- The flagged Cauchy determinant
- Factorial Stirling matrix and related combinatorial sequences
- Jacobians of symmetric polynomials
- A Maple package for symmetric functions
- On the inversion of the Vandermonde matrix
- A property of the elementary symmetric functions
- The Euler characteristic as a polynomial in the Chern classes
- Polynomial estimation of eigenvalues
- Computing Elementary Symmetric Polynomials with a Subpolynomial Numberof Multiplications
- On solving composite power polynomial equations
- EVALUATION PROPERTIES OF SYMMETRIC POLYNOMIALS
- Stirling matrix via Pascal matrix
- Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients