eros

eros, an Octave code which implements elementary row operations (ERO) for the interactive solution of a system of linear equations.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

eros is available in a MATLAB version and an Octave version and a Python version and an R version.

Related Data and Programs:

eros_test

Source Code:

• elim.m, AB=elim(i,j) uses a multiple of pivot row j to zero out entry (i,j).
• gauss.m, x=gauss(A,b) uses Gauss elimination to solve A*x=b.
• gauss_det.m, value=gauss_det(A) uses Gauss elimination to find the determinant of A.
• gauss_inverse.m, B=gauss_inverse(A) uses Gauss elimination to find the inverse of A.
• plu.m, [P,L,U]=gauss_plu(A) uses Gauss elimination to find the PLU factors of A.
• init.m, AB=init(A,b) initializes global memory before a new calculation.
• pivot.m, [AB,p]=pivot(j) seeks the pivot row p for the j-th variable.
• scale.m, AB=scale(i,j) divides row i by entry A(i,j).
• solution.m, x=solution() returns the solution of the linear system after it has been computed.
• swap.m, AB=swap(i1,i2) swaps rows i1 and i2.