Docs For Class Matrix

constructor Matrix [line 54]

Matrix Matrix(
)

Polymorphic constructor As PHP has no support for polymorphic constructors, we hack our own sort of polymorphism using func_num_args, func_get_arg, and gettype.

Polymorphic constructor As PHP has no support for polymorphic constructors, we hack our own sort of polymorphism using func_num_args, func_get_arg, and gettype. In essence, we're just implementing a simple RTTI filter and calling the appropriate constructor.

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method arrayLeftDivide [line 1052]

Matrix arrayLeftDivide(
Matrix
$B)

arrayLeftDivide

arrayLeftDivide Element-by-element Left division A / B

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return:

Division result

Parameters:

Matrix

Matrix B

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method arrayLeftDivideEquals [line 1100]

Matrix &arrayLeftDivideEquals(
mixed
$B)

arrayLeftDivideEquals

arrayLeftDivideEquals Element-by-element Left division Aij = Aij / Bij

Tags:

return:

Matrix Aij

Parameters:

mixed

Matrix/Array

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method arrayRightDivide [line 956]

Matrix arrayRightDivide(
Matrix
$B)

arrayRightDivide

arrayRightDivide Element-by-element right division A / B

Tags:

return:

Division result

Parameters:

Matrix

Matrix B

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method arrayRightDivideEquals [line 1004]

Matrix &arrayRightDivideEquals(
mixed
$B)

arrayRightDivideEquals

arrayRightDivideEquals Element-by-element right division Aij = Aij / Bij

Tags:

return:

Matrix Aij

Parameters:

mixed

Matrix/Array

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method arrayTimes [line 859]

Matrix arrayTimes(
mixed
$B)

arrayTimes

arrayTimes Element-by-element multiplication Cij = Aij * Bij

Tags:

return:

Matrix Cij

Parameters:

mixed

Matrix/Array

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method arrayTimesEquals [line 908]

Matrix &arrayTimesEquals(
mixed
$B)

arrayTimesEquals

arrayTimesEquals Element-by-element multiplication Aij = Aij * Bij

Tags:

return:

Matrix Aij

Parameters:

mixed

Matrix/Array

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method checkMatrixDimensions [line 382]

boolean checkMatrixDimensions(
[Matrix
$B = null])

checkMatrixDimensions

checkMatrixDimensions Is matrix B the same size?

Parameters:

Matrix

Matrix B

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method chol [line 1223]

Matrix chol(
)

chol

chol Cholesky decomposition

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return:

Cholesky decomposition

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method cond [line 634]

ratio cond(
)

Matrix condition (2 norm)

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return:

of largest to smallest singular value.

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method constructWithCopy [line 149]

void constructWithCopy(
double
$A)

Construct a matrix from a copy of a 2-D array.

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exception:

IllegalArgumentException All rows must have the same length

Parameters:

double

A[][] Two-dimensional array of doubles.

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method det [line 1293]

float det(
)

det

det Calculate determinant

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return:

Determinant

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method diagonal [line 439]

Matrix &diagonal(
[int
$m = null], [int
$n = null], [mixed
$c = 1])

diagonal

diagonal Generate a diagonal matrix

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return:

Diagonal matrix

Parameters:

int	$m	Row dimension
int	$n	Column dimension
mixed	$c	Diagonal value

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method eig [line 1251]

Matrix eig(
)

eig

eig Eigenvalue decomposition

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return:

Eigenvalue decomposition

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method filled [line 454]

Matrix &filled(
[int
$m = null], [int
$n = null], [int
$c = 0])

filled

filled Generate a filled matrix

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return:

Filled matrix

Parameters:

int	$m	Row dimension
int	$n	Column dimension
int	$c	Fill constant

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method get [line 215]

mixed get(
[int
$i = null], [int
$j = null])

get Get the i,j-th element of the matrix.

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return:

Element (int/float/double)

Parameters:

int	$i	Row position
int	$j	Column position

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method getArray [line 133]

array &getArray(
)

getArray

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return:

Matrix array

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method getArrayCopy [line 141]

array getArrayCopy(
)

getArrayCopy

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return:

Matrix array copy

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method getColumnDimension [line 204]

int getColumnDimension(
)

getColumnDimension

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return:

Column dimension

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method getColumnPackedCopy [line 167]

array getColumnPackedCopy(
)

getColumnPacked

getColumnPacked Get a column-packed array

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return:

Column-packed matrix array

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method getMatrix [line 228]

Matrix getMatrix(
int
$i0, int
$iF, int
$j0, int
$jF)

getMatrix

getMatrix Get a submatrix

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return:

Submatrix

Parameters:

int	$i0	Initial row index
int	$iF	Final row index
int	$j0	Initial column index
int	$jF	Final column index

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method getMatrixByCol [line 518]

Matrix getMatrixByCol(
[
$j0 = null], [
$jF = null], int
$i0, int
$iF)

getMatrixByCol

getMatrixByCol Get a submatrix by column index/range

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return:

Submatrix

Parameters:

int	$i0	Initial column index
int	$iF	Final column index
	$j0
	$jF

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method getMatrixByRow [line 501]

Matrix getMatrixByRow(
[int
$i0 = null], [int
$iF = null])

getMatrixByRow

getMatrixByRow Get a submatrix by row index/range

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return:

Submatrix

Parameters:

int	$i0	Initial row index
int	$iF	Final row index

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method getRowDimension [line 196]

int getRowDimension(
)

getRowDimension

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return:

Row dimension

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method getRowPackedCopy [line 182]

array getRowPackedCopy(
)

getRowPacked

getRowPacked Get a row-packed array

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return:

Row-packed matrix array

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method identity [line 427]

Matrix &identity(
[int
$m = null], [int
$n = null])

identity Generate an identity matrix.

Tags:

return:

Identity matrix

Parameters:

int	$m	Row dimension
int	$n	Column dimension

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method inverse [line 1283]

Matrix inverse(
)

Matrix inverse or pseudoinverse.

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return:

... Inverse(A) if A is square, pseudoinverse otherwise.

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method lu [line 1232]

Matrix lu(
)

lu LU decomposition

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return:

LU decomposition

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method minus [line 764]

Matrix minus(
mixed
$B)

minus

minus A - B

Tags:

return:

Sum

Parameters:

mixed

Matrix/Array

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method minusEquals [line 811]

Matrix &minusEquals(
mixed
$B)

minusEquals

minusEquals A = A - B

Tags:

return:

Sum

Parameters:

mixed

Matrix/Array

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method mprint [line 1302]

html mprint(

$A, [
$format = "%01.2f"], [
$width = 2])

Older debugging utility for backwards compatability.

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return:

version of matrix

Parameters:

	$A
	$format
	$width

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method norm1 [line 561]

float norm1(
)

norm1

norm1 One norm

Tags:

return:

Maximum column sum

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method norm2 [line 583]

float norm2(
)

norm2

norm2 Maximum singular value

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return:

Maximum singular value

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method normF [line 613]

float normF(
)

normF

normF Frobenius norm

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return:

Square root of the sum of all elements squared

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method normInf [line 592]

float normInf(
)

normInf

normInf Infinite norm

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return:

Maximum row sum

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method packed [line 489]

array &packed(
)

packed

packed Alias for getRowPacked

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return:

Packed array

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method plus [line 670]

Matrix plus(
mixed
$B)

plus

plus A + B

Tags:

return:

Sum

Parameters:

mixed

Matrix/Array

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method plusEquals [line 717]

Matrix &plusEquals(
mixed
$B)

plusEquals

plusEquals A = A + B

Tags:

return:

Sum

Parameters:

mixed

Matrix/Array

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method qr [line 1241]

Matrix qr(
)

qr QR decomposition

Tags:

return:

QR decomposition

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method random [line 470]

Matrix &random(
[int
$m = null], [int
$n = null], [
$a = RAND_MIN], [
$b = RAND_MAX])

random

random Generate a random matrix

Tags:

return:

Random matrix

Parameters:

int	$m	Row dimension
int	$n	Column dimension
	$a
	$b

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method rank [line 625]

effective rank(
)

Matrix rank

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return:

numerical rank, obtained from SVD.

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method set [line 403]

mixed set(
[int
$i = null], [int
$j = null], [mixed
$c = null])

set Set the i,j-th element of the matrix.

Tags:

return:

Element (int/float/double)

Parameters:

int	$i	Row position
int	$j	Column position
mixed	$c	Int/float/double value

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method setMatrix [line 335]

void setMatrix(
int
$i0, int
$j0, mixed
$S)

setMatrix

setMatrix Set a submatrix

Parameters:

int	$i0	Initial row index
int	$j0	Initial column index
mixed	$S	Matrix/Array submatrix ($i0, $j0, $S) $S = Matrix ($i0, $j0, $S) $S = Array

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method solve [line 1269]

Matrix solve(
Matrix
$B)

Solve A*X = B.

Tags:

return:

... Solution if A is square, least squares solution otherwise

Parameters:

Matrix

Right hand side

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method svd [line 1260]

Singular svd(
)

svd

svd Singular value decomposition

Tags:

return:

value decomposition

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method times [line 1147]

Matrix times(
mixed
$n)

times

times Matrix multiplication

Tags:

return:

Product

Parameters:

mixed

Matrix/Array/Scalar

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method toHTML [line 1321]

Output toHTML(
[
$width = 2])

Debugging utility.

Tags:

return:

HTML representation of matrix

Parameters:

$width

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method trace [line 644]

float trace(
)

trace

trace Sum of diagonal elements

Tags:

return:

Sum of diagonal elements

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method transpose [line 533]

Matrix transpose(
)

transpose

transpose Tranpose matrix

Tags:

return:

Transposed matrix

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method uminus [line 660]

Matrix uminus(
)

uminus

uminus Unary minus matrix -A

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return:

Unary minus matrix

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Class: Matrix

Class Overview

Variables

Methods

Class Details

Class Variables

$A = array()

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$m =

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$n =

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Class Methods

constructor Matrix [line 54]

method arrayLeftDivide [line 1052]

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Parameters:

method arrayLeftDivideEquals [line 1100]

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Parameters:

method arrayRightDivide [line 956]

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Parameters:

method arrayRightDivideEquals [line 1004]

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Parameters:

method arrayTimes [line 859]

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Parameters:

method arrayTimesEquals [line 908]

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Parameters:

method checkMatrixDimensions [line 382]

Parameters:

method chol [line 1223]

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method cond [line 634]

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method constructWithCopy [line 149]

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Parameters:

method det [line 1293]

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method diagonal [line 439]

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Parameters:

method eig [line 1251]

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method filled [line 454]

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Parameters:

method get [line 215]

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Parameters:

method getArray [line 133]

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method getArrayCopy [line 141]

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method getColumnDimension [line 204]

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method getColumnPackedCopy [line 167]

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method getMatrix [line 228]

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Parameters:

method getMatrixByCol [line 518]

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Parameters:

method getMatrixByRow [line 501]

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Parameters:

method getRowDimension [line 196]

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method getRowPackedCopy [line 182]

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method identity [line 427]

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Parameters:

method inverse [line 1283]

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