Index of all elements

[ a ] [ c ] [ d ] [ g ] [ i ] [ m ] [ n ] [ r ] [ s ] [ t ] [ v ] [ w ] [ _ ]

a

add: in file Matrix.php, method Math_Matrix::add()
Adds a matrix to this one

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c

cloneMatrix: in file Matrix.php, method Math_Matrix::cloneMatrix()
Returns a new Math_Matrix object with the same data as the current one

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d

determinant: in file Matrix.php, method Math_Matrix::determinant()
Calculates the matrix determinant using Gaussian elimination with partial pivoting.

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g

getCol: in file Matrix.php, method Math_Matrix::getCol()
Returns the column with the given index
getData: in file Matrix.php, method Math_Matrix::getData()
Returns the array of arrays.
getDiagonal: in file Matrix.php, method Math_Matrix::getDiagonal()
Returns the diagonal of a square matrix as a Math_Vector
getElement: in file Matrix.php, method Math_Matrix::getElement()
Returns the value of the element at (row,col)
getMax: in file Matrix.php, method Math_Matrix::getMax()
Returns the maximum value of the elements in the matrix
getMaxIndex: in file Matrix.php, method Math_Matrix::getMaxIndex()
Gets the position of the element with the maximum value
getMin: in file Matrix.php, method Math_Matrix::getMin()
Returns the minimum value of the elements in the matrix
getMinIndex: in file Matrix.php, method Math_Matrix::getMinIndex()
Gets the position of the element with the minimum value
getRow: in file Matrix.php, method Math_Matrix::getRow()
Returns the row with the given index
getSize: in file Matrix.php, method Math_Matrix::getSize()
Returns an array with the number of rows and columns in the matrix
getSubMatrix: in file Matrix.php, method Math_Matrix::getSubMatrix()
Returns a submatrix from the position (row, col), with nrows and ncols
getValueIndex: in file Matrix.php, method Math_Matrix::getValueIndex()
Gets the position of the first element with the given value
getZeroThreshold: in file Matrix.php, method Math_Matrix::getZeroThreshold()
Returns the value of the upper bound used to minimize round off errors

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i

invert: in file Matrix.php, method Math_Matrix::invert()
Inverts a matrix using Gauss-Jordan elimination with partial pivoting
isEmpty: in file Matrix.php, method Math_Matrix::isEmpty()
Checks if the matrix has been initialized.
isMatrix: in file Matrix.php, method Math_Matrix::isMatrix()
Checks if the object is a Math_Matrix instance
isSquare: in file Matrix.php, method Math_Matrix::isSquare()
Checks if it is a square matrix (i.e. num rows == num cols)

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m

makeHankel: in file Matrix.php, method Math_Matrix::makeHankel()
Returns a Hankel matrix from a array of size m (C), and (optionally) of
makeHilbert: in file Matrix.php, method Math_Matrix::makeHilbert()
Returns a Hilbert matrix of the given size: H(i,j) = 1 / (i + j - 1) where {i,j = 1..n}
makeIdentity: in file Matrix.php, method Math_Matrix::makeIdentity()
Returns the identity matrix of the given size. An alias of Math_Matrix::makeUnit()
makeMatrix: in file Matrix.php, method Math_Matrix::makeMatrix()
Returns a Math_Matrix object of size (nrows, ncols) filled with a value
makeOne: in file Matrix.php, method Math_Matrix::makeOne()
Returns the Math_Matrix object of size (nrows, ncols), filled with the value 1 (one)
makeUnit: in file Matrix.php, method Math_Matrix::makeUnit()
Returns a square unit Math_Matrix object of the given size
makeZero: in file Matrix.php, method Math_Matrix::makeZero()
Returns the Math_Matrix object of size (nrows, ncols), filled with the value 0 (zero)
Math_Matrix: in file Matrix.php, class Math_Matrix
Defines a matrix object.
Math_Matrix: in file Matrix.php, method Math_Matrix::Math_Matrix()
Constructor for the matrix object
Matrix.php: procedural page Matrix.php
multiply: in file Matrix.php, method Math_Matrix::multiply()
Multiplies this matrix (A) by another one (B), and stores the result back in A

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n

norm: in file Matrix.php, method Math_Matrix::norm()
Returns the Euclidean norm of the matrix.
normalizedDeterminant: in file Matrix.php, method Math_Matrix::normalizedDeterminant()
Returns the normalized determinant = abs(determinant)/(euclidean norm)

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r

readFromFile: in file Matrix.php, method Math_Matrix::readFromFile()
Create a matrix from a file, using data stored in the given format

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s

scale: in file Matrix.php, method Math_Matrix::scale()
Scales the matrix by a given factor
scaleRow: in file Matrix.php, method Math_Matrix::scaleRow()
Multiplies (scales) a row by the given factor
setCol: in file Matrix.php, method Math_Matrix::setCol()
Sets the column with the given index to the array
setData: in file Matrix.php, method Math_Matrix::setData()
Validates the data and initializes the internal variables (except for the determinant).
setElement: in file Matrix.php, method Math_Matrix::setElement()
Sets the value of the element at (row,col)
setRow: in file Matrix.php, method Math_Matrix::setRow()
Sets the row with the given index to the array
setZeroThreshold: in file Matrix.php, method Math_Matrix::setZeroThreshold()
Sets the threshold to consider a numeric value as zero: if number <= epsilon then number = 0
solve: in file Matrix.php, method Math_Matrix::solve()
Solves a system of linear equations: Ax = b
solveEC: in file Matrix.php, method Math_Matrix::solveEC()
Solves a system of linear equations: Ax = b, using an iterative error correction algorithm
sub: in file Matrix.php, method Math_Matrix::sub()
Substracts a matrix from this one
swapCols: in file Matrix.php, method Math_Matrix::swapCols()
Swaps the columns with the given indices
swapRowCol: in file Matrix.php, method Math_Matrix::swapRowCol()
Swaps a given row with a given column. Only valid for square matrices.
swapRows: in file Matrix.php, method Math_Matrix::swapRows()
Swaps the rows with the given indices

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t

toHTML: in file Matrix.php, method Math_Matrix::toHTML()
Returns an HTML table representation of the matrix elements
toString: in file Matrix.php, method Math_Matrix::toString()
Returns a simple string representation of the matrix
trace: in file Matrix.php, method Math_Matrix::trace()
Returns the trace of the matrix. Trace = sum(e[i][j]), for all i == j
transpose: in file Matrix.php, method Math_Matrix::transpose()
Transpose the matrix rows and columns

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v

vectorMultiply: in file Matrix.php, method Math_Matrix::vectorMultiply()
Multiplies a vector by this matrix

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w

writeToFile: in file Matrix.php, method Math_Matrix::writeToFile()
Writes matrix object to a file using the given format

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_

_maxElementIndex: in file Matrix.php, method Math_Matrix::_maxElementIndex()
Returns the index of the row with the maximum value under column of the element e[i][i]

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