Class RowEchelon

java.lang.Object
org.flag4j.linalg.RowEchelon
public final class RowEchelon extends Object
This class contains static methods for computing row echelon, reduced row echelon, and extended reduced row echelon forms of a matrix.

  • Method Details

    • ref

      public static Matrix ref(Matrix A)
      Computes a row echelon form of a Matrix. For a reduced row echelon form use rref(Matrix).
      Parameters:
      A - The matrix for which to compute the row echelon form.
      Returns:
      A matrix in row echelon form which is row-equivalent to the matrix A.

    • ref

      public static CMatrix ref(CMatrix A)
      Computes a row echelon form of a Matrix. For a reduced row echelon form use rref(CMatrix).
      Parameters:
      A - The matrix for which to compute the row echelon form.
      Returns:
      A matrix in row echelon form which is row-equivalent to the matrix A.

    • rref

      public static Matrix rref(Matrix A)
      Computes the reduced row echelon form of a matrix. For a non-reduced row echelon form see ref(Matrix). The reduced row echelon form is unique.
      Parameters:
      A - The matrix for which to compute the reduced row echelon form.
      Returns:
      A matrix in reduced row echelon form which is row-equivalent to this matrix.

    • rref

      public static CMatrix rref(CMatrix A)
      Computes the reduced row echelon form of a matrix. For a non-reduced row echelon form see ref(CMatrix). The reduced row echelon form is unique.
      Parameters:
      A - The matrix for which to compute the reduced row echelon form.
      Returns:
      A matrix in reduced row echelon form which is row-equivalent to this matrix.

    • erref

      public static Matrix erref(Matrix A)
      Computes the extended reduced row echelon form of a matrix. This is equivalent to {@link #rref(Matrix) rref(A.augment(Matrix.I(A.numRows())))}
      Parameters:
      A - Matrix for which to compute extended reduced row echelon form of.
      Returns:
      A matrix in reduced row echelon form which is row-equivalent to this matrix augmented with the appropriately sized identity matrix.

    • erref

      public static CMatrix erref(CMatrix A)
      Computes the extended reduced row echelon form of a matrix. This is equivalent to {@link #rref(CMatrix) rref(A.augment(CMatrix.I(A.numRows())))}
      Parameters:
      A - Matrix for which to compute extended reduced row echelon form of.
      Returns:
      A matrix in reduced row echelon form which is row-equivalent to this matrix augmented with the appropriately sized identity matrix.