Generalized Vandermonde matrices and their LU factorization
Sheng-Liang Yang
Abstract
Sheng-Liang Yang
Abstract
Using elementary symmetric function and complete symmetric function,two kinds generalized Vandermonde matrices are introduced.The relationship between Vandermonde matrices and the generalized Vandermonde matrices is discussed, and the LU factorization of the generalized Vandermonde matrices is obtained.
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Using elementary symmetric function and complete symmetric function,two kinds generalized Vandermonde matrices are introduced.The relationship between Vandermonde matrices and the generalized Vandermonde matrices is discussed, and the LU factorization of the generalized Vandermonde matrices is obtained.
Key concepts: Vandermonde matrix, Mathematics, Factorization, Symmetric function, Combinatorics, Algebra over a field, Pure mathematics, Physics