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Question

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg248] Question
• From: "Busch, Nick" <NBusch at p03.il50.micro.honeywell.com>
• Date: Tue, 29 Nov 94 08:35:00 CST

From:
Nick Busch
Internet:   NBuschP03.IL50.MICRO.HONEYWELL.COM

To:
MathGroup

I am trying to solve a particular problem in Mathematica version 2.2 for 
Microsoft Windows.  If anyone could provide some direction I would 
appreciate the help.

Following is a description of the problem.

Find X that provides the least error in AX=B subject to the constraint that
 the sum of the elements in X is equal to the sum of the elements in B.  A
numerical solution is required.

A: known and is a (n rows * n columns) matrix with 1's along the diagonal.
X: unknown and is  (n rows by 1 column).
B: known and is a (n rows * 1 column) matrix.

Sometimes the sum of the elements in B is equal to zero, or nearly zero.