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Title: An Explicit Factorization of Totally Positive Generalized Vandermonde Matrices Avoiding Schur Functions
Authors: 李陽明
Date: 2008
Issue Date: 2008-12-24 13:28:01 (UTC+8)
Abstract: We consider a totally positive generalized Vandermonde matrix and obtain by induction its unique LU factorization avoiding Schur functions. As by-products, we get a recursive formula for the determinant and the inverse of a totally positive generalized Vandermonde matrix and express any Schur function in an explicit form.
Relation: Applied Mathematics E-Notes, 8(2008), 138-147
Data Type: article
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