Re: Construction of Vandermonde equations:

*To*: mathgroup at smc.vnet.net*Subject*: [mg65183] Re: [mg65166] Construction of Vandermonde equations:*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Fri, 17 Mar 2006 00:13:27 -0500 (EST)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

x={x1,x2,x3}; n=Length[x]; mat=Array[A,{n,n}]; Thread[mat.x^(m-1)==0] Bob Hanlon > > From: Gopinath Venkatesan <gopinathv at ou.edu> To: mathgroup at smc.vnet.net > Subject: [mg65183] [mg65166] Construction of Vandermonde equations: > > Hello Mathematica Experts > > I have to form Vandermonde equations like this. > > A[i,1]*x1^(m-1)+A[i,2]*x2^(m-1)+...+A[i,n]*xn^(m-1)=0 (say). > > And in the above, the variables i=1,2,...n, and m=1,2,...n, and m is mu (symbol), and x is an array {x1,x2,x3,...xn}. > > So I did this in Mathematica, with n=7, like below. > > \!\(\(n = 7;\)\[IndentingNewLine] > \(x = {0, 1/6, 2/6, 3/6, 4/6, 5/6, 1};\)\[IndentingNewLine] > \(mat = Array[A, {n, n}];\)\[IndentingNewLine] > \(S = 0;\)\[IndentingNewLine] > \(Do[S = S + A[i, > j]*x[\([j]\)]\^\(Î¼ - 1\), {j, 1, n, 1}];\)\[IndentingNewLine] > \(SS[i_, Î¼_] = S;\)\[IndentingNewLine] > SS[2, p]\) > > SS[2,p] is a check to see what we get for that value of i and mu(m). > > But I wanted to put the element value of A[i,j] that is A[[i,j]] instead of A[i,j]. When I do that it gives error -- Part specification i is neither an integer or list of integers, as well as, -- Part specification A[[2,1]] is longer than the depth of the object. > > Please suggest me what is the correct method to form such Vandermonde equations. Thanks. > > Gopinath > Univ of Oklahoma > >