1) Resolver el siguiente SENL:
METODO PUNTO FIJO MULTIV. (Desplazamientos Sucesivos)function
jimx0=0; y0=0;fprintf('k x(k) y(k) dist\n')fprintf('%2d %10.5f
%10.5f\n',0,x0,y0)for k=1:13 x1=(x0^2+y0^2+9)/10;
y1=(x1*y0^2+x1+8)/10; dist=((x1-x0)^2+(y1-y0)^2)^0.5; fprintf('%2d
%10.5f %10.5f %10.5f\n',k,x1,y1,dist) x0=x1; y0=y1;end
Resultado:k x(k) y(k) dist 0 0.00000 0.00000 1 0.90000 0.89000
1.26574 2 1.06021 0.99000 0.18886 3 1.11041 1.01987 0.05842 4
1.12732 1.02999 0.01970 5 1.13317 1.03353 0.00684 6 1.13523 1.03479
0.00241 7 1.13595 1.03523 0.00085 8 1.13621 1.03539 0.00030 9
1.13630 1.03544 0.0001110 1.13633 1.03546 0.0000411 1.13634 1.03547
0.00001 12 1.13635 1.03547 0.00000 Raices13 1.13635 1.03548
0.00000
Resolver el siguiente SENL:
METODO NEWTON-RAPHSON MODIFICADOfunction Jx0=0; y0=0;fprintf('k
x(k) y(k) dist\n')fprintf('%2d %10.5f %10.5f\n',0,x0,y0)for k=1:10
f1=x0^2-10*x0+y0^2+9; df1x=2*x0-10; x1=x0-f1/df1x;
f2=x1*y0^2+x1-10*y0+8; df2y=2*x1*y0-10; y1=y0-f2/df2y;
dist=((x1-x0)^2+(y1-y0)^2)^0.5; fprintf('%2d %10.5f %10.5f
%10.5f\n',k,x1,y1,dist) x0=x1;y0=y1;end
Resultado:k x(k) y(k) dist 0 0.00000 0.00000 1 0.90000 0.89000
1.26574 2 1.09538 1.02205 0.23582 3 1.13260 1.03444 0.03923 4
1.13607 1.03540 0.00360 5 1.13633 1.03547 0.00027 6 1.13635 1.03548
0.00002 7 1.13635 1.03548 0.00000 Races 8 1.13635 1.03548 0.00000 9
1.13635 1.03548 0.0000010 1.13635 1.03548 0.00000
