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Bisection Method

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- 1. Name : Pritam chandra shil ID: 162-15-7882 Welcome To My Presentation
- 3. Bisection Method The Bisection Method slightly modifies “educated guess” approach of hand calculation method. • Suppose we know a function has a root between a and b. (…and the function is continuous, … and there is only one root)
- 4. Bisection Method Keep in mind general approach in Computer Science: for complex problems we try to find a uniform simple systematic calculation • How can we express the hand calculation of the preceding in this way?
- 5. Bisection method… Check if solution lies between a and b… F(a)*F(b) < 0 ? • Try the midpoint m: compute F(m) • If |F(m)| < tol select m as your approximate solution • Otherwise, if F(m) is of opposite sign to F(a) that is if F(a)*F(m) < 0, then b = m. • Else a = m.
- 6. double Sqrt(double c, double tol) { double a,b, mid, f; // set initial boundaries of interval if (c < 1) { a = c; b = 1} else { a = 1; b = c} do { mid = ( a + b ) / 2.0; f = mid * mid - c; if ( f < 0 ) a = mid; else b = mid; } while( fabs( f ) > tol ); return mid; }
- 7. Thank You !!