In the bottom of that sidebar, you find pictures and videos of my beautiful Colombia! Enjoy it!

Sudoku!

This is one of my hobbies. I share with you becouse is a good way to distract you of stress from University or School! I hope you like it! Oh, I'll give to you a little advice: When you finish it, please go back to study numerical methods.
El sudoku del día por SudokusWeb.com

Sunday, May 16, 2010

Types of Methods

.

  • Graphic Methods
  • Bracketing Methods
  • Open Methods
Graphic Methods

  • No precise load
  • Limited Value
  • To estimate initial values
  • Can prevent failures in the methods (asymptotes)
  • Can be considered finite / conditional

Bracketing Methods : Bisection method, The false position method

  • Guarantee convergence
  • Begins by asking a range (which contient root)

Bisection Method

Search the "cota"(1) and cut the interval by the half

>Binary cut

>Partition

>Bolzano

Types of search


  1. Define an interval in which at least has a root. The sign change method
  2. Evaluated the image of the function in the "cotas"(1). The product of these images is below 0

f (a) . f (b) below 0

(If we do not know that there are more "cotas"(1) assume at least 1)

3. Interval is divided in half and is checked, assuming the value on the half is the root.

If f(a)*f(r) below 0

*Repeat as many times as tolerance tells me

4. Tolerance


Advantages
  • All the bracketing methods converge
  • Easy programming
  • Has a very clear error handling

Disadvantages

  • Convergence may take a long
  • Does not take into account extreme values ("cotas") as possible roots.

****(1) What I mean when I write "cota"?




My Colombia!