Concepts Assignment

1.  Write 6 short C programs and 6 short Fortran programs.  The
    programs in all cases are to initialize an n by m matrix so that
    the entries are equal to the column numbers, i.e., all 
    elements in the first column are 1's, all in the second column are 2's,
    etc.  The six programs arise from 3 matrices of different sizes: 
     3000 by 3000
       30 by 300000 and
   300000 by 30
   and from two different ways of nesting the loops -- for each size
   matrix, first nest the row loop within the column loop and then reverse
   the loops.  The number of operations is the same for all programs.
   For your Fortran programs, use the Unix time command (i.e.,
   when you execute the program), and for your C programs, put calls to
   ctime inside your program, and print the times.  (See man pages and the
   text for info on time and ctime.)

   Make a table of the times:
                               3000 by 3000  30 by 300000  300000 by 30
Fortran  column-nested-in-row      ______      _______       ________
         row-nested-in-column      ______      _______       ________
C        column-nested-in-row      ______      _______       ________
         row-nested-in-column      ______      _______       ________

 
2. Chapter 3 of Golub and Ortega. 

Then, in Golub and Ortega, 

3. Exercise 3.2.2

4. Exercise 3.3.2

5. Exercise 3.3.6

6. Exercise 3.3.8

   Write out your answers to these questions (except #2!) in a file in
   your directory, and put a link in your homepage to 
   "Assignment 4, Part 2"