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y=[]; xx=0:.05:10; x0=0; h=optimset; h.Display='off'; for x=xx f=inline(['w.*exp(w)-' num2str(x)],'w'); y1=fsolve(f,x0,h); x0=y1; y=[y,y1]; end plot(xx,y) y0=lambertw(xx); plot(xx,y0)

Y + * * + *

y( 0)=5.40000e+01 yy( 0)=5.68429e+01 y( 1)=1.45000e+02 yy( 1)=1.33629e+02 y( 2)=2.27000e+02 yy( 2)=2.44057e+02 y( 3)=3.59000e+02 yy( 3)=3.47943e+02 y( 4)=4.01000e+02 yy( 4)=3.93457e+02

y( 0)=0.00000e+00 y( 1)=1.86090e-02 y( 2)=3.25359e-02 y( 3)=4.20480e-02 y( 4)=4.73684e-02 y( 5)=4.86842e-02 y( 6)=4.61538e-02 y( 7)=3.99123e-02 y( 8)=3.00752e-02 y( 9)=1.67423e-02 y(10)=0.

y = [4.3302 3.6485 4.4830 5.5468 5.4970 3.1125 5.1182 3.8759 4.6700 4.9536 5.0060 5.2701 5.3772]'; x1 = [2 7 5 12 1 3 3 6 7 0 3 0 8 ]; x2 = [18 9 14 3 20 12 17 5 8 23 16 18 4]; x3 = [50 40 46 43 64

y=[1125 1248 1250 1259 1273 1279 1285 1285 1293 1300 1305 1312 1315 1324 1325 1350]; dixon ( y, 0 )

function Y = y(bus,line) % Purpose: build admittance matrix Y from the line data % % Input: bus - bus data % line - line data % % Output: Y - admittance matrix [nb,m

Y + * * + *