| Function |
Description |
| GausPP |
GaussPP(m)
Reduces the augmented matrix m where
m = {a|b1|b2|....|bn}
using the Gauss method with Partial Pivoting and after performs
a back substitution to solve all the linear systems ax=bi |
| GaussTP |
GaussTP(m)
Reduces the augmented matrix m where
m = {a|b1|b2|....|bn}
using the Gauss Method with Total Pivoting and after performs a
back substitution to solve all the linear systems ax=bi
Note : After back substitution the reduced array is reordered
to respect the original unknowns order, so usually the result matrix
isn't upper triangular. |
| GaussTSP |
GaussTSP(m)
Reduces the augmented matrix m
m = {a|b1|b2|....|bn}
using the Gauss Method with Total Scaled Pivoting and after performs
a back substitution to solve the linear systems ax=bi
Note:
After back substitution the reduced array is reordered to respect
the original unknowns order, so usually the result matrix isn't
upper triangular |
| GaussJordanPP
|
GaussJordanPP(a,eps)
Computes the row reduced echelon form of matrix a[m,n]
with n > m using the Gauss Jordan algorithm with Partial Pivoting.
The optional parameter eps > 0 specifies the limit under
which an element is set to 0. |
| GaussJordanTP
|
GaussJordanTP(a,eps)
Computes the row reduced echelon form of matrix a[m,n]
with n > m using the Gauss Jordan algorithm with Total Pivoting.
The optional parameter eps > 0 specifies the limit under
which an element is set to 0. |
| GaussJordanTSP
|
GaussJordanTSP(a,eps)
Computes the row reduced echelon form of matrix a[m,n]
with n > m using the Gauss Jordan algorithm with Total Scaled Pivoting.
The optional parameter eps > 0 specifies the limit under
which an element is set to 0. |
| SolveLinearSystem
|
SolveLinearSystem(A, B, method)
Solves the linear system Ax=B using one of the available methods.
The methods are:
| 0: |
rref (built-in function) |
| 1: |
inv (built-in function) |
| 2: |
Gauss with Partial Pivoting |
| 3: |
Gauss with Total Pivoting |
| 4: |
Gauss with Total Scaled
Pivoting |
| 5: |
Gauss Jordan with Partial
Pivoting |
| 6: |
Gauss Jordan with Total
Pivoting |
| 7: |
Gauss Jordan with Total
Scaled Pivoting |
|