Symmetric functions and the Vandermonde matrix

This work deduces the lower and the upper triangular factors of the inverse of the Vandermonde matrix using symmetric functions and combinatorial identities. The L and U matrices are in turn factored as bidiagonal matrices. The elements of the upper triangular matrices in both the Vandermonde matrix...

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Veröffentlicht in:	Journal of computational and applied mathematics 2004-11, Vol.172 (1), p.49-64
Hauptverfasser:	Oruç, Halil, Akmaz, Hakan K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic combinatorics Combinatorics Combinatorics. Ordered structures Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematics q-Stirling numbers Sciences and techniques of general use Symmetric functions Triangular and bidiagonal factorization Vandermonde matrix
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