jhplot.math

Class LinearAlgebra

java.lang.Object

jhplot.math.DoubleArray

jhplot.math.LinearAlgebra

public class LinearAlgebra
extends DoubleArray

A collection of static methods for performing math operations on matrices and arrays. Advanced Linear Algebra methods (decompositions, norm, ...) are just call for JAMA routines.

Constructor Summary

Constructors

Constructor and Description
LinearAlgebra()

Method Summary

Modifier and Type	Method and Description
static CholeskyDecomposition	cholesky(double[][] v)
static double	cond(double[][] v)
static double	det(double[][] v)
static double[][]	divide(double[][] v1, double v) Divide each element of a matrix by a scalar
static double[][]	divide(double[][] v1, double[]... v2)
static double[]	divide(double[] v1, double v) Divide each element of an array by a scalar.
static double[]	divide(double[] v1, double[] v2) Element-wise ratio of two arrays.
static double[][]	divideLU(double[][] v1, double[]... v2)
static double[][]	divideQR(double[][] v1, double[]... v2)
static EigenvalueDecomposition	eigen(double[][] v)
static double[][]	inverse(double[][] v1)
static double[][]	inverseLU(double[][] v1)
static double[][]	inverseQR(double[][] v1)
static LUDecomposition	LU(double[][] v)
static double[][]	minus(double[][] v1, double v2) Subtract a scalar from each element of a matrix.
static double[][]	minus(double[][] v1, double[][] v2) Element-wise subtraction of two matrices.
static double[]	minus(double[] v1, double v) Subtracts a scalar value from each element of an array
static double[]	minus(double[] v1, double[] v2) Element-wise subtraction of two arrays.
static double[]	minus(double v, double[] v1) Subtracts each element of an array from a scalar value.
static double[][]	minus(double v2, double[][] v1) Subtract each element of a matrix from a scalar.
static double	norm1(double[][] v)
static double	norm2(double[][] v)
static double	normF(double[][] v)
static double	normInf(double[][] v)
static double[]	plus(double[]... v) Element-wise sum of any number of arrays.
static double[][]	plus(double[][] v1, double v2) Add a scalar to each element of a matrix.
static double[][]	plus(double[][] v1, double[][] v2) Element-wise sum of two matrices
static double[]	plus(double[] v1, double v) Add a scalar value to each element of an array.
static QRDecomposition	QR(double[][] v)
static double[][]	raise(double[][] v, double n) Raise each element of a matrix to a scalar power
static double[]	raise(double[] v1, double n) Raise each element of an array to a scalar power.
static int	rank(double[][] v)
static SingularValueDecomposition	singular(double[][] v)
static double[][]	solve(double[][] A, double[][] B)
static double[][]	solveTranspose(double[][] A, double[][] B)
static double[]	times(double[]... v) Element-wise product of any number of arrays.
static double[][]	times(double[][] v1, double v) Multiply each element in a matrix by a scalar
static double[]	times(double[][] v1, double[] v2) Product of a matrix and a vector (array) according to the rules of linear algebra.
static double[][]	times(double[][] v1, double[][] v2) Matrix multiplication according to the rules of linear algebra.
static double[]	times(double[] v1, double v) Multiply each element of an array by a scalar.
static double	trace(double[][] v)

Methods inherited from class jhplot.math.DoubleArray

add, add, buildXY, buildXY, checkColumnDimension, checkLength, checkRowDimension, columnVector, copy, copy, cumProduct, cumProduct, cumSum, cumSum, delete, deleteColumns, deleteColumnsRange, deleteRange, deleteRows, deleteRowsRange, diagonal, diagonal, f, f, fill, fill, findex, getColumnCopy, getColumnCopy, getColumnDimension, getColumnsCopy, getColumnsRangeCopy, getCopy, getDiagonal, getRangeCopy, getRowCopy, getRowsCopy, getRowsRangeCopy, getSubMatrixRangeCopy, identity, increment, increment, increment, increment, insert, insertColumns, insertRows, isColumnDimension, isLength, isRowDimension, main, max, max, maxIndex, maxIndex, merge, mergeColumns, mergeRows, min, min, minIndex, minIndex, one, one, one, one, product, product, random, random, random, random, random, resize, rowVector, sort, sort, sum, sum, throwError, toString, toString, transpose

Methods inherited from class java.lang.Object

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

Constructor Detail

LinearAlgebra

public LinearAlgebra()

Method Detail

minus

public static double[] minus(double[] v1,
                             double[] v2)

Element-wise subtraction of two arrays. Arrays must be same size.

Parameters:

v1 - Minuend.

v2 - Subtrahend

Returns:

Array v1 - v2

minus

public static double[] minus(double[] v1,
                             double v)

Subtracts a scalar value from each element of an array

Parameters:

v1 - Minuend Array.

v - Subtrahend scalar

Returns:

Array v1 - v

minus

public static double[] minus(double v,
                             double[] v1)

Subtracts each element of an array from a scalar value.

Parameters:

v - Scalar Minuend

v1 - Subtrahend array

Returns:

Array v - v1

minus

public static double[][] minus(double[][] v1,
                               double[][] v2)

Element-wise subtraction of two matrices. Matrices must be same size.

Parameters:

v1 - Minuend matrix

v2 - Subtrahend matrix

Returns:

Matrix v1 - v2

minus

public static double[][] minus(double[][] v1,
                               double v2)

Subtract a scalar from each element of a matrix.

Parameters:

v1 - Minuend matrix

v2 - Scalar subtrahend

Returns:

Matrix v1 - v2

minus

public static double[][] minus(double v2,
                               double[][] v1)

Subtract each element of a matrix from a scalar.

Parameters:

v2 - Scalar minuend

v1 - Matrix subtrahend

Returns:

Matrix v2 - v1

plus

public static double[] plus(double[]... v)

Element-wise sum of any number of arrays. Each array must be of same length.

Parameters:

v - Any number of arrays

Returns:

Element-wise sum of input arrays.

plus

public static double[] plus(double[] v1,
                            double v)

Add a scalar value to each element of an array.

Parameters:

v1 - Array

v - Scalar

Returns:

v1 + v

plus

public static double[][] plus(double[][] v1,
                              double[][] v2)

Element-wise sum of two matrices

Parameters:

v1 - Matrix

v2 - Matrix

Returns:

Matrix v1 + v2

plus

public static double[][] plus(double[][] v1,
                              double v2)

Add a scalar to each element of a matrix.

Parameters:

v1 - Matrix

v2 - Scalar

Returns:

Matrix v1 + v2

times

public static double[] times(double[]... v)

Element-wise product of any number of arrays. Each array must be same size.

Parameters:

v - Any number of arrays.

Returns:

Array. i'th element = v1(i)*v2(i)*v3(i)...

divide

public static double[] divide(double[] v1,
                              double[] v2)

Element-wise ratio of two arrays.

Parameters:

v1 - Numerators

v2 - Denominators

Returns:

Array. i'th element = v1(i)/v2(i)

times

public static double[] times(double[] v1,
                             double v)

Multiply each element of an array by a scalar.

Parameters:

v1 - Array

v - Scalar

Returns:

v1 * v

times

public static double[][] times(double[][] v1,
                               double v)

Multiply each element in a matrix by a scalar

Parameters:

v1 - Matrix

v - Scalar

Returns:

v1 * v

divide

public static double[] divide(double[] v1,
                              double v)

Divide each element of an array by a scalar.

Parameters:

v1 - Numerator Array

v - Scalar denominator

Returns:

Array. i'th element is v1(i)/v

divide

public static double[][] divide(double[][] v1,
                                double v)

Divide each element of a matrix by a scalar

Parameters:

v1 - Matrix numerator

v - Scalar denominator

Returns:

Matrix v1 / v

raise

public static double[] raise(double[] v1,
                             double n)

Raise each element of an array to a scalar power.

Parameters:

v1 - Array

n - Scalar exponent

Returns:

Array. i'th element is v(i)^n

raise

public static double[][] raise(double[][] v,
                               double n)

Raise each element of a matrix to a scalar power

Parameters:

v - Matrix

n - exponent

Returns:

Matrix

times

public static double[][] times(double[][] v1,
                               double[][] v2)

Matrix multiplication according to the rules of linear algebra. Matrices must be same size.

Parameters:

v1 - Matrix

v2 - Matrix

Returns:

Matrix v1 * v2

times

public static double[] times(double[][] v1,
                             double[] v2)

Product of a matrix and a vector (array) according to the rules of linear algebra. Number of columns in v1 must equal number of elements in v2.

Parameters:

v1 - m x n Matrix

v2 - n element array

Returns:

m element array v1 * v2

See Also:

times(double[][], double[][])

divideLU

public static double[][] divideLU(double[][] v1,
                                  double[]... v2)

divideQR

public static double[][] divideQR(double[][] v1,
                                  double[]... v2)

divide

public static double[][] divide(double[][] v1,
                                double[]... v2)

inverseLU

public static double[][] inverseLU(double[][] v1)

inverseQR

public static double[][] inverseQR(double[][] v1)

inverse

public static double[][] inverse(double[][] v1)

solve

public static double[][] solve(double[][] A,
                               double[][] B)

solveTranspose

public static double[][] solveTranspose(double[][] A,
                                        double[][] B)

eigen

public static EigenvalueDecomposition eigen(double[][] v)

QR

public static QRDecomposition QR(double[][] v)

LU

public static LUDecomposition LU(double[][] v)

cholesky

public static CholeskyDecomposition cholesky(double[][] v)

singular

public static SingularValueDecomposition singular(double[][] v)

cond

public static double cond(double[][] v)

det

public static double det(double[][] v)

rank

public static int rank(double[][] v)

trace

public static double trace(double[][] v)

norm1

public static double norm1(double[][] v)

norm2

public static double norm2(double[][] v)

normF

public static double normF(double[][] v)

normInf

public static double normInf(double[][] v)