Write a program, in the language of your preference, that computes solutions for linear systems. The program should take as input a file which contains data for a linear system in the following format:
computer science
Description
Assignment Info
1.
Write a program, in the language of your preference, that
computes solutions for linear systems. The program should take as input a file
which contains data for a linear system in the following format:
n
a11 a12 ... a1n
a21 a22 ... a2n
...
an1 an2 ... ann
b1 b2 ... bn
The
file should have extension .lin, for example, sys1.lin could a suitable
file name. The program should use Naive Gaussian Elimination by default and
should place the solution in a file with the same name as the input, but with
extension .sol and with the following format:
x1 x2 ... xn
Additionally,
the user should be able to modify the programs behavior with optional flag
--spp, in which case the program will use Scaled Partial Pivoting to produce
the solution. For example, for a system placed in file sys1.lin, the user could
run:
> gaussian sys1.lin
or,
> gaussian --spp sys1.lin
In the first case the
program will use NGE, and in the second it will us SPP. In both cases, the
solution will be placed in file sys1.sol.
2.
Using your program, computing solutions for the following
system:
4
0.0001 -5.0300 5.8090 7.8320
2.2660 1.9950 1.2120 8.0080
8.8500 5.6810 4.5520 1.3020
6.7750 -2.2530 2.9080 3.9700
9.5740 7.2190 5.7300 6.2910
Run
your program in both modes. Compare and discuss your results.
