org.ejml.interfaces.linsol

Interface ReducedRowEchelonForm<T extends Matrix>

All Known Subinterfaces:

ReducedRowEchelonForm_F32<T>, ReducedRowEchelonForm_F64<T>

public interface ReducedRowEchelonForm<T extends Matrix>

An augmented system matrix is said to be in reduced row echelon form (RREF) if the following are true:

1. If a row has non-zero entries, then the first non-zero entry is 1. This is known as the leading one.
2. If a column contains a leading one then all other entries in that column are zero.
3. If a row contains a leading 1, then each row above contains a leading 1 further to the left.

[1] Page 19 in, Otter Bretscherm "Linear Algebra with Applications" Prentice-Hall Inc, 1997

Method Summary

Modifier and Type	Method and Description
void	reduce(T A, int coefficientColumns) Puts the augmented matrix into RREF.

Method Detail

reduce

void reduce(T A,
            int coefficientColumns)

Puts the augmented matrix into RREF. The coefficient matrix is stored in columns less than coefficientColumns.

Parameters:

A - Input: Augmented matrix. Output: RREF. Modified.

coefficientColumns - Number of coefficients in the system matrix.