2006Journal of Hefei University of TechnologyRequires access

Quasi-Vandermonde determinant

QI Deng-ji

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Abstract

The element permutations and values of the Vandermonde determinant have highly symmetry,which makes the determinant applied widely in mathematics.The partitioned mode of the Vandermonde determinant—the quasi-Vandermonde determinant is studied,and by using methods and skills of matrices the calculating formulas are given,thereby the Vandermonde determinant are generalized.

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What this paper is about

The element permutations and values of the Vandermonde determinant have highly symmetry,which makes the determinant applied widely in mathematics.The partitioned mode of the Vandermonde determinant—the quasi-Vandermonde determinant is studied,and by using methods and skills of matrices the calculating formulas are given,thereby the Vandermonde determinant are generalized.

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Available abstract

The element permutations and values of the Vandermonde determinant have highly symmetry,which makes the determinant applied widely in mathematics.The partitioned mode of the Vandermonde determinant—the quasi-Vandermonde determinant is studied,and by using methods and skills of matrices the calculating formulas are given,thereby the Vandermonde determinant are generalized.

Key concepts: Vandermonde matrix, Mathematics, Combinatorics, Element (criminal law), Physics, Eigenvalues and eigenvectors, Political science, Quantum mechanics

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