```Date: Aug 9, 2013 5:31 AM
Author: Nasser Abbasi
Subject: Re: Taking long time to solve two equations

On 8/9/2013 3:41 AM, kalpana wrote:> I have to solve two equations. For this, i have taken the equations as the following :> Syms x y  eq1 eq2;> eq1 = x^7 +  42.215449*x^6*y  +  287.89234 *x^6 +  596.846934 * x^5*y^2  +   8742*x^5*y  +>28324*x^5 +   2043*x^4*y^3  +   43094*x^4*y^2  +   266735*x^4*y +   498519*x^4  +  288.63823*x^3*y^4 +>  33339*x^3*y^3  +  520794*x^3*y^2  +  2476074*x^3*y  +  3223591*x^3  -  208.79156*x^2*y^5  +  6073*x^2*y^4>  +   234014*x^2*y^3  +  2220025*x^2*y^2 +    7793982*x^2*y  + 8129372*x^2  -  52.07952*x*y^6  +>  104.05264*x*y^5  +   35721*x*y^4  +  555238*x*y^3 +    3446089*x*y^2  +  9208694*x*y  +>8083970*x  -  3.07772*y^7 -  21.7637*y^6  +  1870*y^5 +  42024*y^4  +  374588*y^3 +   1636383*y^2  +>3381409*y  + 2510676 ;> eq2 = x^7 +  42.35951*x^6*y  +  249.65506*x^6 +   384.45864*x^5*y^2 +  3593*x^5*y  +  6262*x^5 +>  820.0502*x^4*y^3 +   11020*x^4*y^2 +  42458*x^4*y +  42460*x^4 -  190.762*x^3*y^4 +   323.880*x^3*y^3 +>12187*x^3*y^2  -  14416*x^3*y -  53002*x^3 -  273.565*x^2*y^5 - 10984*x^2*y^4 -  144716*x^2*y^3 -  769764*x^2*y^2 ->  1669218*x^2*y -  1214524*x^2 - 61.9525*x*y^6 - 3876*x*y^5 -  75440*x*y^4 -  643676*x*y^3 - 2570248*x*y^2  ->4473769*x*y -  2750044*x -  4.1241*y^7 -  333.6706*y^6 -  8419*y^5 -  99085*y^4 -  607023*y^3 -  1930062*y^2 -2885924*y -  1593986;> I tried to solve for the x & y values using  the command :    SS = solve(eq1, eq2)> But, even after 6 hours also, it did not give any out put.>> I tried to use even fsolve also for solving the eq1 & eq2 equations. But,>because of not giving the initial guess properly, Matlab is not giving the correct solution for  eq1 & eq2  equations.>> Can anyone suggest how to solve these two equations ( eq1 & eq2 )?  Please help.>Tried it on 2013a, could not do it either using solve. try other numerical methods.But here is the solution if you want it, used Mathematcia, took 1.2 seconds:{time, sol} = Timing[Solve[{eq1 == 0, eq2 == 0}, {x, y}]];In[9]:= timeOut[9]= 1.185In[10]:= solOut[10]= {   {x -> 0., y -> -151.35904583468965},   {x -> 0., y -> -85.13895087438566},   {x -> -27.164285604663753, y -> -50.61768554767208},   {x -> 2.8355044082183873, y -> -27.442707108646974},   {x -> 130.98454597901133, y -> -17.6754505729175},   {x -> 1.4267067596845873, y -> -17.077189139839028},   {x -> 1.1455075476333905, y -> -13.413469792543479},   {x -> 186.40562161038733, y -> -13.268055479706945},   {x -> 34.23762189426339, y -> -11.772880861558223},   {x -> 0.8087957326294682 + 0.39136558155618695*I,    y -> -11.700958027242402 - 1.3039589816219934*I},   {x -> 0.8087957326294682 - 0.39136558155618695*I,    y -> -11.700958027242402 + 1.3039589816219934*I},   {x -> -0.40497228838960503, y -> -10.137853538222389},   {x -> 0.5364185347731513 + 0.3181435518825487*I,    y -> -10.085826686503125 - 0.20565480400396605*I},   {x -> 0.5364185347731513 - 0.3181435518825487*I,    y -> -10.085826686503125 + 0.20565480400396605*I},   {x -> -6.727660044522176, y -> -9.219496476503034},   {x -> 0.008098051043877884, y -> -9.218355722090397},   {x -> 0.48932534323564564, y -> -8.823578615102061},   {x -> 29.100385938401935, y -> -8.514311377787577},   {x -> -0.1320800417401883 + 0.32510503130905966*I,    y -> -7.768657548339962 - 1.6121948964901707*I},   {x -> -0.1320800417401883 - 0.32510503130905966*I,    y -> -7.768657548339962 + 1.6121948964901707*I},   {x -> -8.834051940908747, y -> -6.8970187103268925},   {x -> 38.70734459279393, y -> -6.312522584916942},   {x -> 14.407999992272309, y -> -5.946529047240522},   {x -> -0.7055298230766178, y -> -5.8131791971590285},   {x -> 0.128961832508615, y -> -5.808200902261788},   {x -> -7.468140749138903, y -> -5.640036783643233},   {x -> -0.35507785808468334 - 0.020416893279005557*I,    y -> -5.518321482297532 - 0.04507273318877324*I},   {x -> -0.35507785808468334 + 0.020416893279005557*I,    y -> -5.518321482297532 + 0.04507273318877324*I},   {x -> 0.8332949215612189, y -> -5.279011066092062},   {x -> -0.7208458327510595, y -> -5.222232095592231},   {x -> -83.28782054667569, y -> -4.523280077259166},   {x -> 6.550069249409195, y -> -3.0000810589773708},   {x -> -0.3399664169498006, y -> -1.6094894258190373},   {x -> -0.5257958359207511, y -> -1.5182223234174406},   {x -> -0.35232274493597676, y -> -1.5013881420037343},   {x -> -0.9408942319257629, y -> -1.430768655564594},   {x -> -1.1199461766672494, y -> -1.4032153693514107},   {x -> -1.0988253987405006, y -> -1.3962264824502768},   {x -> -1.1156457095135324, y -> -1.3861415642868689},   {x -> -1.8597874513598176, y -> -1.3167119219846115},   {x -> -1.7282435071910636, y -> -1.2667077318019304},   {x -> -9.052480286114635, y -> -1.2326932753946283},   {x -> -1.9053504295089767, y -> -1.1484614203347703},   {x -> -8.540695229140074, y -> -0.4961496485677344},   {x -> -9.268950946095428, y -> 0.7114889170757767},   {x -> -8.817029632386216, y -> 0.8878798157464098},   {x -> -1.8544260064896303, y -> 6.586666522406094},   {x -> -3.9552323940254097, y -> 8.577760614875976},   {x -> 0., y -> 111.6265329139572}}--Nasser
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