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I have a 6x6 matrix that depends on 8 parameters, M(F) (F is an 8-dim array, say...), and I want to compute the eigenvalues of this matrix both at a fixed point F_0 and at some other arbitrary point F'. The problem is that I need to make sure the ordering of the Eigenvalues remains the same at these two points, so that if I'd go continuously from F_0 to F' the eigenvalues would go continuously from Eigenvalues(M(F_0)) to Eigenvalues(M(F')), without any flip in the order of the entries.

Hi,

I have those questions:

1) set

When I write these inputs,

x:={1,3,2}; y:={b,a,d,c}; z:={a[1],a[1,1],b[0],d[0],c[0],a[0],2};

the results are x := {1, 2, 3}, y := {a, b, c, d}, z := {2, a[0], a[1], a[1,1], b[0], c[0], d[0]}

Is there a way to get what I input

2) This problem in ordering numbers and words is verry important and hard when solving a large system of equations with:

restart:with(SolveTools): eqns:=[a[0...

Perhaps you have heard the terms "ordering difference" or "session dependent" applied to results of some Maple computation. It used to get heard more often back before Maple 12, when elements of sets in Maple were ordered according to address.

The following type of difference in behaviour, due to deterministic ordering of sets as introduced in Maple 12, may affect implementations of some algorithms.

    |\^/|     Maple 11 (X86 64 LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.

> seq(x, x in {a,b,c,d,e,f,g}) assuming d>0;
   ...