2.6/

Algebraic Polynomials

1. Fundamental Theorem of Algebra:
   
2. Existance of Roots:
   
3. Polynomial Equivalence:
   

   This result implies

Horner’s Method

1. What?
   
2. Why?
   
3. Horner’s Method:
   
4. Algorithm:
   
5. Horner’s Derivatives:
   
6. Deflation:
   
7. MatLab Implementation:
   

Complex Zeros: Müller’s Method

1. What?
   
   • It is a:
   • Müller’s method uses
2. Why?
   
   1. First:
      
      
   2. Second:
      
      

      If the initial approximation is a real number,

3. Complex Roots:
   
4. Algorithm:
   
5. Calculations and Evaluations:
   Müller’s method can: