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## Main Question or Discussion Point

Dear all,

Consider the system given by : http://www.freeimagehosting.net/image.php?53f7eed9ce.jpg

where we are trying to solve for s and gamma using Newton's method. It turns out to be a simple implementation. Now, what if we need to impose an inequality constraint on the solution s : one of the form norm(s) <= 1 .

Is there a simple way to proceed by modifying a little bit the initial system? Or do we have to reformulate the problem using Lagrange multipliers or other similar methods? Many thanks for your input

Sincerely

Consider the system given by : http://www.freeimagehosting.net/image.php?53f7eed9ce.jpg

where we are trying to solve for s and gamma using Newton's method. It turns out to be a simple implementation. Now, what if we need to impose an inequality constraint on the solution s : one of the form norm(s) <= 1 .

Is there a simple way to proceed by modifying a little bit the initial system? Or do we have to reformulate the problem using Lagrange multipliers or other similar methods? Many thanks for your input

Sincerely