least square minimization with strict inquality constraint

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reen2015 2016-4-7

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https://ww2.mathworks.cn/matlabcentral/answers/277660-least-square-minimization-with-strict-inquality-constraint

评论： reen2015 2016-4-7

I have a least square minimization problem with a constraint of the form Ax<=b. Even though, in principle the condition "=" in A<= b is allowable, the fact that algorithm converges to a solution with all zero values is not desirable. Is there any way to enforce strict inequality in matlab function lsqlin() ? Specifically, I use some equations of the inequality constraint equation, Ax<=b, to ensure x is less than zero,negative, like x2<0, x3<0. Along with that I have other constriants like -(x1+x2+x3)<=0 with x1>0. In all these cases I prefer a solution with strict inequality constriant. Waiting for any kind suggestions.

Thanking you!