Techniques in Theoretical Physics
Homework for Section 2: Review
of Numerical Methods
In a Fortran program, a general purpose matrix A(10,10)
is given. Assuming that a particular problem can be described by
5 equations with 6 unknowns:
How the elements of matrix A is stored (i.e. physical memory).
Using a local matrix of size 5X6 to represent the equations,
how this matrix is stored?
Give a more detailed derivation of Gauss-Jordan elimination
method for the equation studied in the lecture.
Prove that the precision of determining xmin is:
dxmin/xmin = O(e1/2)
Optional: Write a computer program for a problem presented
in the lecture.