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The Vandermonde Indexing Function
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Description
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The Vandermonde indexing function can be used to construct rtable objects of type Array or Matrix.
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In the specification of a Matrix, if Vandermonde[V] is included in the calling sequence as an indexing function, where V is a Vector or a list of algebraic values or a name, a Vandermonde Matrix is returned.
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Note: A Vandermonde Matrix is a Matrix with entries M[i,j] = V[i]^(j-1).
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The specification is the same in the construction of an Array.
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Examples
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![A := Array(Vandermonde[[1, 2, 3, 4, 5]], 1 .. 4, 1 .. 3)](/support/helpjp/helpview.aspx?si=6269/file00155/math44.png)
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![A := Array([[1, 1, 1], [1, 2, 4], [1, 3, 9], [1, 4, 16]])](/support/helpjp/helpview.aspx?si=6269/file00155/math47.png)
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![M := Matrix(3, shape = Vandermonde[`<,>`(a, b, c)])](/support/helpjp/helpview.aspx?si=6269/file00155/math51.png)
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![M := Matrix([[1, a, a^2], [1, b, b^2], [1, c, c^2]])](/support/helpjp/helpview.aspx?si=6269/file00155/math54.png)
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![M := Matrix(3, shape = Vandermonde[v])](/support/helpjp/helpview.aspx?si=6269/file00155/math58.png)
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![M := Matrix([[1, v[1], v[1]^2], [1, v[2], v[2]^2], [1, v[3], v[3]^2]])](/support/helpjp/helpview.aspx?si=6269/file00155/math61.png)
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