2004Unpublished venueRequires access

Generalized Vandermonde matrices and their LU factorization

Sheng-Liang Yang

Open publisher page 4 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Vandermonde matrix, Mathematics, Factorization, Symmetric function, Combinatorics, Algebra over a field, Pure mathematics, Physics

Related papers

Back to paper searchBrowse research topicsOriginal source
Generalized Vandermonde matrices and their LU factorization — Research Paper | ScholarLens