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Oct 17th, 2019
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  1. function [xmin,ymin]=parab(func,x1,x2,x3)
  2. y1=func(x1);
  3. y2=func(x2);
  4. y3=func(x3);
  5. x=[x1 x2 x3]
  6. y=[y1 y2 y3]
  7. delta=(x2-x1)*(x3-x1)*(x3-x2);
  8. A=((x3-x2)*y1-(x3-x1)*y2+(x2-x1)*y3)/delta;
  9. B=(-(x3^2-x2^2)*y1+(x2^2-x1^2)*y2-(x2^2-x1^2)*y3)/delta;
  10. C=(x2*x3*(x3-x2)*y1-x1*x3*(x3-x1)*y2+x1*x2*(x2-x1)*y3)/delta;
  11. xmin=-B/(2*A);
  12. ymin=-B*B/(4*A)+C;
  13. end
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