keel.Algorithms.Shared.ClassicalOptim

Class OPV

java.lang.Object

keel.Algorithms.Shared.ClassicalOptim.OPV

public class OPV
extends java.lang.Object

Vector operations class.

Since:

JDK1.4

Version:

1.0

Author:

Written by Luciano Sánchez (University of Oviedo) 27/02/2004, Modified by Enrique A. de la Cal (University of Oviedo) 13/12/2008

Constructor Summary

Constructors

Constructor and Description
OPV()

Method Summary

Modifier and Type	Method and Description
static double[][][]	invScale(double[][][] a, double[][][] mx, double[][][] mn) Returns a inverted scaled copy of matrix a.
static double[][]	invScale(double[][] a, double[][] mx, double[][] mn) Returns a inverted scaled copy of matrix a.
static double[]	invScale(double[] a, double[] mx, double[] mn) Returns a inverted scaled copy of vector a.
static double[][][]	maximum(double[][][] a, double[][][] b) Returns a matrix with the maximum of each component of a and b
static double[][]	maximum(double[][] a, double[][] b) Returns a matrix with the maximum of each component of a and b
static double[]	maximum(double[] a, double[] b) Returns a vector with the maximum of each component of a and b
static double[][][]	minimum(double[][][] a, double[][][] b) Returns a matrix with the minimum of each component of a and b
static double[][]	minimum(double[][] a, double[][] b) Returns a matrix with the minimum of each component of a and b
static double[]	minimum(double[] a, double[] b) Returns a vector with the minimum of each component of a and b
static double[][]	multiCuad(double[] a, double[] b) returns square matrix with multiplication of each component of a by b and vice versa.
static double	multiply(double[][][] a, double[][][] b) returns the sum of the respective 2-dimensions matrix multiplication (a[i] by b[i]).
static double[]	multiply(double[][] A, double[] x) returns a vector with multiplication of each row of matrix A by vector x.
static double	multiply(double[][] a, double[][] b) returns sum of the respective row vectors multiplication.
static double	multiply(double[] a, double[] b) returns the multiplication of vector a and b.
static double[]	multiply(double k, double[] a) returns the multiplication of scalar k by vector a.
static double[][]	multiply(double k, double[][] a) returns the multiplication of scalar k by matrix a.
static double[][][]	multiply(double k, double[][][] a) returns the multiplication of scalar k by matrix a.
static double[][][]	scale(double[][][] a, double[][][] mx, double[][][] mn) Returns a scaled copy of matrix a.
static double[][]	scale(double[][] a, double[][] mx, double[][] mn) Returns a scaled copy of matrix a.
static double[]	scale(double[] a, double[] mx, double[] mn) Returns a scaled copy of vector a.
static double[]	signChange(double[] a) returns a copy of the parameter vector with changed sign.
static double[][]	signChange(double[][] a) returns a copy of the matrix a with changed sign.
static double[][][]	signChange(double[][][] a) returns a copy of the parameter vector with changed sign.
static double[][][]	subtract(double[][][] a, double[][][] b) returns the subtraction of matrix a and b.
static double[][]	subtract(double[][] a, double[][] b) returns the subtraction of matrix a and b.
static double[]	subtract(double[] a, double[] b) returns the subtraction of vector a and b.
static double[][][]	sum(double[][][] a, double[][][] b) returns the sum of matrix a and b.
static double[][]	sum(double[][] a, double[][] b) returns the sum of matrix a and b.
static double[]	sum(double[] a, double[] b) returns the sum of vector a and b.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

OPV

public OPV()

Method Detail

sum

public static double[] sum(double[] a,
                           double[] b)

returns the sum of vector a and b.

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

the sum of a and b (a+b).

subtract

public static double[] subtract(double[] a,
                                double[] b)

returns the subtraction of vector a and b.

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

the subtraction of a and b (a-b).

signChange

public static double[] signChange(double[] a)

returns a copy of the parameter vector with changed sign.

Parameters:

a - 1-dimensional vector.

Returns:

vector a with changed sign.

maximum

public static double[] maximum(double[] a,
                               double[] b)

Returns a vector with the maximum of each component of a and b

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

a vector with the maximum of each component of a and b

minimum

public static double[] minimum(double[] a,
                               double[] b)

Returns a vector with the minimum of each component of a and b

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

a vector with the minimum of each component of a and b

scale

public static double[] scale(double[] a,
                             double[] mx,
                             double[] mn)

Returns a scaled copy of vector a. The scaling factor is given by mx and mn.

Parameters:

a - 1-dimensional vector.

mx - 1-dimensional vector with maximum value for each component of a.

mn - 1-dimensional vector with minimum value for each component of a.

Returns:

a scaled copy of vector a.

invScale

public static double[] invScale(double[] a,
                                double[] mx,
                                double[] mn)

Returns a inverted scaled copy of vector a. The scaling factor is given by mx and mn.

Parameters:

a - 1-dimensional vector.

mx - 1-dimensional vector with maximum value for each component of a.

mn - 1-dimensional vector with minimum value for each component of a.

Returns:

a inverted scaled copy of vector a.

multiply

public static double[] multiply(double k,
                                double[] a)

returns the multiplication of scalar k by vector a.

Parameters:

k - a scalar value.

a - 1-dimensional vector.

Returns:

multiplication of k by a (k*a).

multiply

public static double multiply(double[] a,
                              double[] b)

returns the multiplication of vector a and b.

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

the multiplication of a and b (a*b).

multiCuad

public static double[][] multiCuad(double[] a,
                                   double[] b)

returns square matrix with multiplication of each component of a by b and vice versa.

Parameters:

a - 1-dimensional vector.

b - 1-dimensional vector.

Returns:

a square matrix with the multiplication of a and b.

multiply

public static double[] multiply(double[][] A,
                                double[] x)

returns a vector with multiplication of each row of matrix A by vector x.

Parameters:

A - a matrix.

x - 1-dimensional vector.

Returns:

a vector with multiplication of each row of matrix A by vector x.

sum

public static double[][] sum(double[][] a,
                             double[][] b)

returns the sum of matrix a and b.

Parameters:

a - 2-dimensional vector.

b - 2-dimensional vector.

Returns:

the sum of a and b (a+b).

subtract

public static double[][] subtract(double[][] a,
                                  double[][] b)

returns the subtraction of matrix a and b.

Parameters:

a - 2-dimensional vector.

b - 2-dimensional vector.

Returns:

the subtraction of a and b (a-b).

signChange

public static double[][] signChange(double[][] a)

returns a copy of the matrix a with changed sign.

Parameters:

a - 2-dimensional vector.

Returns:

a copy of matrix with changed sign.

maximum

public static double[][] maximum(double[][] a,
                                 double[][] b)

Returns a matrix with the maximum of each component of a and b

Parameters:

a - 2-dimensional vector.

b - 2-dimensional vector.

Returns:

a matrix with the maximum of each component of a and b

minimum

public static double[][] minimum(double[][] a,
                                 double[][] b)

Returns a matrix with the minimum of each component of a and b

Parameters:

a - 2-dimensional vector.

b - 2-dimensional vector.

Returns:

a matrix with the minimum of each component of a and b

scale

public static double[][] scale(double[][] a,
                               double[][] mx,
                               double[][] mn)

Returns a scaled copy of matrix a. The scaling factor is given by mx and mn.

Parameters:

a - 2-dimensional vector.

mx - 2-dimensional vector with maximum value for each component of a.

mn - 2-dimensional vector with minimum value for each component of a.

Returns:

a scaled copy of matrix a.

invScale

public static double[][] invScale(double[][] a,
                                  double[][] mx,
                                  double[][] mn)

Returns a inverted scaled copy of matrix a. The scaling factor is given by mx and mn.

Parameters:

a - 2-dimensional vector.

mx - 2-dimensional vector with maximum value for each component of a.

mn - 2-dimensional vector with minimum value for each component of a.

Returns:

a inverted scaled copy of matrix a.

multiply

public static double[][] multiply(double k,
                                  double[][] a)

returns the multiplication of scalar k by matrix a.

Parameters:

k - a scalar value.

a - 2-dimensional vector.

Returns:

multiplication of k by a (k*a).

multiply

public static double multiply(double[][] a,
                              double[][] b)

returns sum of the respective row vectors multiplication.

Parameters:

a - 2-dimensional vector.

b - 2-dimensional vector.

Returns:

the sum of the multiplication of a[i] and b[i].

sum

public static double[][][] sum(double[][][] a,
                               double[][][] b)

returns the sum of matrix a and b.

Parameters:

a - 3-dimensional vector.

b - 3-dimensional vector.

Returns:

the sum of a and b (a+b).

subtract

public static double[][][] subtract(double[][][] a,
                                    double[][][] b)

returns the subtraction of matrix a and b.

Parameters:

a - 3-dimensional vector.

b - 3-dimensional vector.

Returns:

the sum of a and b (a+b).

signChange

public static double[][][] signChange(double[][][] a)

returns a copy of the parameter vector with changed sign.

Parameters:

a - 3-dimensional vector.

Returns:

vector a with changed sign.

maximum

public static double[][][] maximum(double[][][] a,
                                   double[][][] b)

Returns a matrix with the maximum of each component of a and b

Parameters:

a - 3-dimensional vector.

b - 3-dimensional vector.

Returns:

a matrix with the maximum of each component of a and b

minimum

public static double[][][] minimum(double[][][] a,
                                   double[][][] b)

Returns a matrix with the minimum of each component of a and b

Parameters:

a - 3-dimensional vector.

b - 3-dimensional vector.

Returns:

a matrix with the minimum of each component of a and b

scale

public static double[][][] scale(double[][][] a,
                                 double[][][] mx,
                                 double[][][] mn)

Returns a scaled copy of matrix a. The scaling factor is given by mx and mn.

Parameters:

a - 3-dimensional vector.

mx - 3-dimensional vector with maximum value for each component of a.

mn - 3-dimensional vector with minimum value for each component of a.

Returns:

a scaled copy of matrix a.

invScale

public static double[][][] invScale(double[][][] a,
                                    double[][][] mx,
                                    double[][][] mn)

Returns a inverted scaled copy of matrix a. The scaling factor is given by mx and mn.

Parameters:

a - 3-dimensional vector.

mx - 3-dimensional vector with maximum value for each component of a.

mn - 3-dimensional vector with minimum value for each component of a.

Returns:

a inverted scaled copy of matrix a.

multiply

public static double[][][] multiply(double k,
                                    double[][][] a)

returns the multiplication of scalar k by matrix a.

Parameters:

k - a scalar value.

a - 3-dimensional vector.

Returns:

multiplication of k by a (k*a).

multiply

public static double multiply(double[][][] a,
                              double[][][] b)

returns the sum of the respective 2-dimensions matrix multiplication (a[i] by b[i]).

Parameters:

a - 3-dimensional vector.

b - 3-dimensional vector.

Returns:

the sum of the multiplication of a[i] and b[i].