Re: [sage-support] Re: Solving a set of quadratic inequalities (continuous)
I thought the variables are real in the OP, non? Then you can split n linear inequalitiies abs(sum(p_i))>1 into 2^n cases sum(p_i))>1 or sum(p_i))<-1 On Wednesday, April 25, 2012 2:56:45 AM UTC-4, Nathann Cohen wrote: > > Hello !!! > > > Do you mean to say that you have complex numbers p_j and your > inequalities > > are of the form > > |p_j-p_k|<=C and |p_j-p_k|>=D, and that you also have > > some equations on Re(p_j) and Im(p_j) ? > > Oh, well, if you have something like that it would of course solve my > problem too :-) > > Nathann > > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: [sage-support] Re: Solving a set of quadratic inequalities (continuous)
On Thursday, 26 April 2012 23:32:01 UTC+8, Nathann Cohen wrote: > > Hell !!! > > > it should not be hard to deal with the case when you don't have > inequalities > > like |p_j-p_k|>=D, but only |p_j-p_k|<=C. > > This would make your problem convex, etc. > > Indeed, but in this case all my problems would have a trivial solution > ==> all variables equal to zero :-) > well, you mentioned that you also have equations... > > Nathann > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: [sage-support] Re: Solving a set of quadratic inequalities (continuous)
Hell !!! > it should not be hard to deal with the case when you don't have inequalities > like |p_j-p_k|>=D, but only |p_j-p_k|<=C. > This would make your problem convex, etc. Indeed, but in this case all my problems would have a trivial solution ==> all variables equal to zero :-) Nathann -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: [sage-support] Re: Solving a set of quadratic inequalities (continuous)
On Wednesday, 25 April 2012 14:56:45 UTC+8, Nathann Cohen wrote: > > Hello !!! > > > Do you mean to say that you have complex numbers p_j and your > inequalities > > are of the form > > |p_j-p_k|<=C and |p_j-p_k|>=D, and that you also have > > some equations on Re(p_j) and Im(p_j) ? > > Oh, well, if you have something like that it would of course solve my > problem too :-) > it should not be hard to deal with the case when you don't have inequalities like |p_j-p_k|>=D, but only |p_j-p_k|<=C. This would make your problem convex, etc. > Nathann > > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: [sage-support] Re: Solving a set of quadratic inequalities (continuous)
Hello !!! > Do you mean to say that you have complex numbers p_j and your inequalities > are of the form > |p_j-p_k|<=C and |p_j-p_k|>=D, and that you also have > some equations on Re(p_j) and Im(p_j) ? Oh, well, if you have something like that it would of course solve my problem too :-) Nathann -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
[sage-support] Re: Solving a set of quadratic inequalities (continuous)
On Friday, 13 April 2012 21:59:55 UTC+8, Nathann Cohen wrote: > > Hello everybody !!! > > I would like to solve a set of equations with a very easy shape. My > equations are defined on variables p1_x, p1_y, p2_x, p2_y, ..., and I > would like to obtain values for them satisfying constraints like : > > |p1 - p2| < 1, i.e. (p1_x - p2_x)^2 + (p1_y - p2_y)^2 < 1 > > or something similar with a > instead of <. I do not really mind > whether the inequalities are strict or not, as I feel free to replace > < 1 by <= 0.9. > Do you mean to say that you have complex numbers p_j and your inequalities are of the form |p_j-p_k|<=C and |p_j-p_k|>=D, and that you also have some equations on Re(p_j) and Im(p_j) ? (as the subject talks about inequalities, but here you talk about equations, I assume you can have both, no?) > Would you know of any way to solve this type of equations, or to > ensure that no solution exists ? > > Thank yo ! :-) > > Nathann > > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
