com.numericalmethod.suanshu.optimization.constrained.linearprogramming.simplex
Class JordanExchange

java.lang.Object
  com.numericalmethod.suanshu.matrix.doubles.matrixtype.MatrixMathImpl<T>
      com.numericalmethod.suanshu.matrix.doubles.matrixtype.MatrixStorageImpl<DenseMatrix>
          com.numericalmethod.suanshu.matrix.doubles.matrixtype.dense.DenseMatrix
              com.numericalmethod.suanshu.optimization.constrained.linearprogramming.simplex.JordanExchange

All Implemented Interfaces:

DeepCopyable, AbelianGroup<Matrix>, Monoid<Matrix>, Ring<Matrix>, Matrix, MatrixAccessor, MatrixRing, Densifiable, MatrixDimension

public class JordanExchange
extends DenseMatrix

Jordan Exchange exchanges the r-th basic/entering variable with the s-th non-basic/leaving variable of a matrix A, a representation of a linear function.

See Also:

"Section 2.1. Linear Programming with MATLAB. Michael C. Ferris, Olvi L. Mangasarian, Stephen J. Wright."

Constructor Summary

JordanExchange(Matrix A, int r, int s)
Construct the Jordan Exchange matrix for a matrix A by exchanging the the basic/entering variable with the s-th non-basic/leaving variable.

JordanExchange(Matrix A, int r, int s, double epsilon)
Construct the Jordan Exchange matrix for a matrix A by exchanging the the basic/entering variable with the s-th non-basic/leaving variable.

Method Summary

Methods inherited from class com.numericalmethod.suanshu.matrix.doubles.matrixtype.dense.DenseMatrix

add, deepCopy, getColumn, getColumn, getMatrixData, getRow, getRow, getSample, minus, multiply, multiply, ONE, overwrite, scaled, t, toDense, ZERO

Methods inherited from class com.numericalmethod.suanshu.matrix.doubles.matrixtype.MatrixStorageImpl

equals, get, hashCode, set, setMatrixData

Methods inherited from class com.numericalmethod.suanshu.matrix.doubles.matrixtype.MatrixMathImpl

add, call, minus, multiply, nCols, nRows, opposite, setColumn, setColumn, setRow, setRow, toString

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

JordanExchange

public JordanExchange(Matrix A,
                      int r,
                      int s,
                      double epsilon)

Construct the Jordan Exchange matrix for a matrix A by exchanging the the basic/entering variable with the s-th non-basic/leaving variable.

Parameters:

A - a linear function

r - r-th basic/entering variable to be exchanged (row)

s - s-th non-basic/leaving variable to be exchanged (column)

epsilon - a precision parameter: when a number |x| ≤ ε, it is considered 0

JordanExchange

public JordanExchange(Matrix A,
                      int r,
                      int s)

Construct the Jordan Exchange matrix for a matrix A by exchanging the the basic/entering variable with the s-th non-basic/leaving variable.

Parameters:

A - a linear function

r - r-th basic/entering variable to be exchanged (row)

s - s-th non-basic/leaving variable to be exchanged (column)