Numerical-Techniques

Notes of my Numerical Techniques module at University - also learning MATLAB

NOTES :-

Warning

there is difference between % and %% One percent sign ( % ) is used for commenting lines. Two percent signs ( %% ) have a different purpose: they are used for dividing your code into sections, which can be run independently. This allows easier debugging.

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Note

Some Important Functions to understand :-

• vpa() is a function to get the answers in decimal form
• subs(s,new) returns a copy of s, replacing all occurrences of the default symbolic scalar variable in s with new, and then evaluates s.

  % for exmaple
  syms X;
  equation = (3 + X);
  ans = subs(equation,5);
  % ans will be equal 8

• syms The syms function creates a variable dynamically. For example, syms x creates the symbolic variable x and automatically assigns it to a MATLAB variable with the same name.

  • You can then use the variable x in the MATLAB workspace for symbolic workflow, such as finding the roots of a polynomial.

    

• linsolve() takes two matrices and solve their equation

  • X = linsolve(A,B) solves the matrix equation AX = B, where B is a column vector.