`ComplexMatrix`

A two-dimensional matrix.

Example

    -- Create a default 2x2 complex matrix of zeros
    
cm1 = pf.ComplexMatrix.Zeros(2)
 
    -- Assign values to each element of the matrix

cm1[1][1] = 1 + j
cm1[2][1] = 2 + 2*j
cm1[1][2] = 3 + 3*j
cm1[2][2] = 4 + 4*j

    -- Create a 2x2 complex matrix with a fill value of 2 + j
    
cm2 = pf.ComplexMatrix(2, 2, 2 + j) 
 
    -- Determine the transpose and determinant of the matrix
    
transpose = cm1:Transpose()
determinant = cm1:Determinant()

    -- Some of the valid operators for 'ComplexMatrix'
 
cm3 = cm1 * 2
cm4 = cm2 * (3 + j)
cm5 = cm1 + 2
cm6 = cm1 - 1
cm7 = cm1 + cm2
cm8 = cm1 - cm2

Usage locations

The ComplexMatrix object can be accessed from the following locations:

Methods
- DataSet object has method ToComplexMatrix(List of string).
- DataSet object has method ToComplexMatrix(List of string, string).
- DataSetIndexer object has method ToComplexMatrix(List of string).
- ComplexMatrix object has method Duplicate().
- ComplexMatrix object has method Inverse().
- ComplexMatrix object has method Transpose().
- ComplexMatrix object has method SubMatrix(number, number, number, number).
- ComplexMatrix object has method FFT().
- ComplexMatrix object has method IFFT().
- ComplexMatrix object has method Conj().
- Matrix object has method FFT().
- Matrix object has method IFFT().
- Matrix object has method Conj().
Static functions
- ComplexMatrix object has static function Power(ComplexMatrix, ComplexMatrix).
- ComplexMatrix object has static function MultiplyByElement(ComplexMatrix, ComplexMatrix).
- ComplexMatrix object has static function Max(ComplexMatrix, ComplexMatrix).
- ComplexMatrix object has static function Min(ComplexMatrix, ComplexMatrix).
- ComplexMatrix object has static function MultiplyByElement(ComplexMatrix, Complex).
- ComplexMatrix object has static function Power(ComplexMatrix, Complex).
- ComplexMatrix object has static function MultiplyByElement(ComplexMatrix, number).
- ComplexMatrix object has static function Power(ComplexMatrix, number).
- ComplexMatrix object has static function Power(ComplexMatrix, Matrix).
- ComplexMatrix object has static function Conj(ComplexMatrix).
- ComplexMatrix object has static function Negate(ComplexMatrix).
- ComplexMatrix object has static function Zeros(number).
- ComplexMatrix object has static function Ones(number).
- ComplexMatrix object has static function Diagonal(List of Complex).
- ComplexMatrix object has static function Identity(number).
- ComplexMatrix object has static function New(number, List of Complex).
- ComplexMatrix object has static function New(List of Complex, number).
- ComplexMatrix object has static function New(number, number, Complex).
- ComplexMatrix object has static function New(number, number).
- ComplexMatrix object has static function Tan(ComplexMatrix).
- ComplexMatrix object has static function Sqrt(ComplexMatrix).
- ComplexMatrix object has static function Sin(ComplexMatrix).
- ComplexMatrix object has static function Log10(ComplexMatrix).
- ComplexMatrix object has static function Log(ComplexMatrix).
- ComplexMatrix object has static function Floor(ComplexMatrix).
- ComplexMatrix object has static function Exponent(ComplexMatrix).
- ComplexMatrix object has static function Ceil(ComplexMatrix).
- ComplexMatrix object has static function Cos(ComplexMatrix).
- ComplexMatrix object has static function Atan(ComplexMatrix).
- ComplexMatrix object has static function Asin(ComplexMatrix).
- ComplexMatrix object has static function Acos(ComplexMatrix).

Property List

ColumnCount: The number of columns in the matrix. (Read only number)
Im: The imaginary component of the complex matrix. (Read/Write Matrix)
Re: The real component of the complex matrix. (Read/Write Matrix)
RowCount: The number of rows in the matrix. (Read only number)
Type: The object type string. (Read only string)
im: The imaginary values of the ComplexMatrix. (Read/Write Matrix)
re: The real values of the ComplexMatrix. (Read/Write Matrix)

Method List

Abs (): Calculate the absolute value of all the entries in the matrix. (Returns a Matrix object.)
Angle (): Calculate the angle of all the entries in the matrix. (Returns a Matrix object.)
Conj (): Calculate the conjugate of all the entries in the matrix. (Returns a ComplexMatrix object.)
Determinant (): Calculate the determinant of the matrix. (Returns a Complex object.)
Duplicate (): Duplicate the matrix. (Returns a ComplexMatrix object.)
ExportMatFile (filename string, varname string): Writes the given ComplexMatrix object to a *.mat file. (Returns a boolean object.)
FFT (): Calculates the fast Fourier transform of the column or row matrix. For a matrix containing multiple columns and rows, the fast Fourier transform will be calculated for each of the columns. (Returns a ComplexMatrix object.)
IFFT (): Calculates the inverse fast Fourier transform of the column or row matrix. For a matrix containing multiple columns and rows, the inverse fast Fourier transform will be calculated for each of the columns. (Returns a ComplexMatrix object.)
Imag (): Extract the imaginary part of all the entries in the matrix. (Returns a Matrix object.)
Inverse (): Calculate the inverse matrix. (Returns a ComplexMatrix object.)
Magnitude (): Calculate the magnitude of all the entries in the matrix. (Returns a Matrix object.)
Max (): Extracts the maximum from the matrix. (Returns a Complex object.)
Mean (): Calculates the mean value of the elements of the matrix. (Returns a Complex object.)
Min (): Extracts the minimum from the matrix. (Returns a Complex object.)
Phase (): Calculate the phase of all the entries in the matrix. (Returns a Matrix object.)
Real (): Extract the real part of all the entries in the matrix. (Returns a Matrix object.)
ReplaceSubMatrix (matrix ComplexMatrix, rowstart number, columnstart number): Replace the sub matrix starting at the given indices with the provided matrix.
SubMatrix (rowstart number, rowend number, columnstart number, columnend number): Obtain the sub matrix from the given parameters. (Returns a ComplexMatrix object.)
Sum (): Calculates the sum of all the elements of the matrix. (Returns a Complex object.)
Transpose (): Calculate the transpose of the matrix. (Returns a ComplexMatrix object.)

Constructor Function List

Diagonal (values List of Complex): Creates a diagonal matrix. (Returns a ComplexMatrix object.)
Identity (size number): Creates an identity matrix. (Returns a ComplexMatrix object.)
New (rows number, columnValues List of Complex): Creates a new matrix. (Returns a ComplexMatrix object.)
New (rowValues List of Complex, columns number): Creates a new matrix. (Returns a ComplexMatrix object.)
New (rows number, columns number, fill Complex): Creates a new matrix. (Returns a ComplexMatrix object.)
New (rows number, columns number): Creates a new matrix with uninitialised elements. (Returns a ComplexMatrix object.)
Ones (size number): Creates a new matrix filled with ones. (Returns a ComplexMatrix object.)
Zeros (size number): Creates a new matrix filled with zeros. (Returns a ComplexMatrix object.)

Static Function List

Abs (matrix ComplexMatrix): Calculates the absolute value of each entry. (Returns a Matrix object.)
Acos (matrix ComplexMatrix): Calculate the arc cosine of all the entries in the matrix. (Returns a ComplexMatrix object.)
Angle (matrix ComplexMatrix): Calculates the angle value of each entry. (Returns a Matrix object.)
Asin (matrix ComplexMatrix): Calculate the arc sine of all the entries in the matrix. (Returns a ComplexMatrix object.)
Atan (matrix ComplexMatrix): Calculate the arc tangent of all the entries in the matrix. (Returns a ComplexMatrix object.)
Ceil (matrix ComplexMatrix): Calculate the ceiling of all the elements in the matrix. (Returns a ComplexMatrix object.)
Conj (matrix ComplexMatrix): Calculates the angle value of each entry. (Returns a ComplexMatrix object.)
Cos (matrix ComplexMatrix): Calculate the cosine of all the entries in the matrix. (Returns a ComplexMatrix object.)
Exponent (matrix ComplexMatrix): Calculate the exponent of all the entries in the matrix. (Returns a ComplexMatrix object.)
Find (matrix Matrix): Finds all entries in the matrix that are non-zero. (Returns a table object.)
Floor (matrix ComplexMatrix): Calculate the floor of all the entries in the matrix. (Returns a ComplexMatrix object.)
GreaterThan (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are greater than each other. (Returns a Matrix object.)
GreaterThan (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are greater than each other. (Returns a Matrix object.)
GreaterThan (matrix ComplexMatrix, value Complex): Determines if a matrix has entries greater than the specified value. (Returns a Matrix object.)
GreaterThan (matrix ComplexMatrix, value number): Determines if a matrix has entries greater than the specified value. (Returns a Matrix object.)
GreaterThanOrEqual (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are greater than or equal to each other. (Returns a Matrix object.)
GreaterThanOrEqual (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are greater than or equal to each other. (Returns a Matrix object.)
GreaterThanOrEqual (matrix ComplexMatrix, value Complex): Determines if a matrix has entries greater than or equal to the specified value. (Returns a Matrix object.)
GreaterThanOrEqual (matrix ComplexMatrix, value number): Determines if a matrix has entries greater than or equal to the specified value. (Returns a Matrix object.)
Imag (matrix ComplexMatrix): Calculates the imaginary value of each entry. (Returns a Matrix object.)
IsEqual (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are equal. (Returns a Matrix object.)
IsEqual (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are equal. (Returns a Matrix object.)
IsEqual (matrix ComplexMatrix, value Complex): Determines if a matrix has entries equal to the specified value. (Returns a Matrix object.)
IsEqual (matrix ComplexMatrix, value number): Determines if a matrix has entries equal to the specified value. (Returns a Matrix object.)
LessThan (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are less than each other. (Returns a Matrix object.)
LessThan (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are less than each other. (Returns a Matrix object.)
LessThan (matrix ComplexMatrix, value Complex): Determines if a matrix has entries less than the specified value. (Returns a Matrix object.)
LessThan (matrix ComplexMatrix, value number): Determines if a matrix has entries less than the specified value. (Returns a Matrix object.)
LessThanOrEqual (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are less than or equal to each other. (Returns a Matrix object.)
LessThanOrEqual (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are less than or equal to each other. (Returns a Matrix object.)
LessThanOrEqual (matrix ComplexMatrix, value Complex): Determines if a matrix has entries less than or equal to the specified value. (Returns a Matrix object.)
LessThanOrEqual (matrix ComplexMatrix, value number): Determines if a matrix has entries less than or equal to the specified value. (Returns a Matrix object.)
Log (matrix ComplexMatrix): Calculate the log of all the entries in the matrix. (Returns a ComplexMatrix object.)
Log10 (matrix ComplexMatrix): Calculate the log10 of all the entries in the matrix. (Returns a ComplexMatrix object.)
Magnitude (matrix ComplexMatrix): Calculates the magnitude value of each entry. (Returns a Matrix object.)
Max (matrix ComplexMatrix, matrix ComplexMatrix): Calculate the maximum of two corresponding entries from two matrices. (Returns a ComplexMatrix object.)
Max (matrix ComplexMatrix): Calculate the maximum of all the entries in the matrix. (Returns a Complex object.)
Mean (matrix ComplexMatrix): Calculate the mean of all the entries in the matrix. (Returns a Complex object.)
Min (matrix ComplexMatrix, matrix ComplexMatrix): Calculate the minimum of two corresponding entries from two matrices. (Returns a ComplexMatrix object.)
Min (matrix ComplexMatrix): Calculate the minimum of all the entries in the matrix. (Returns a Complex object.)
MultiplyByElement (matrix ComplexMatrix, matrix ComplexMatrix): Calculate the exponent of all the elements in the matrix. (Returns a ComplexMatrix object.)
MultiplyByElement (matrix ComplexMatrix, value Complex): Calculate the exponent of all the elements in the matrix. (Returns a ComplexMatrix object.)
MultiplyByElement (matrix ComplexMatrix, value number): Calculate the exponent of all the elements in the matrix. (Returns a ComplexMatrix object.)
Negate (matrix ComplexMatrix): Negate each entry of the matrix. (Returns a ComplexMatrix object.)
NotEqual (matrix ComplexMatrix, matrix ComplexMatrix): Determines if the entries of two matrices are not equal. (Returns a Matrix object.)
NotEqual (matrix ComplexMatrix, matrix Matrix): Determines if the entries of two matrices are not equal. (Returns a Matrix object.)
NotEqual (matrix ComplexMatrix, value Complex): Determines if a matrix has entries not equal to the specified value. (Returns a Matrix object.)
NotEqual (matrix ComplexMatrix, value number): Determines if a matrix has entries not equal to the specified value. (Returns a Matrix object.)
Phase (matrix ComplexMatrix): Calculates the phase value of each entry. (Returns a Matrix object.)
Power (matrix ComplexMatrix, matrix ComplexMatrix): Raise all entries of the first matrix to the power of each entry in the second matrix. (Returns a ComplexMatrix object.)
Power (matrix ComplexMatrix, exponent Complex): Raise each entry to the power of the exponent. (Returns a ComplexMatrix object.)
Power (matrix ComplexMatrix, exponent number): Raise each entry to the power of the exponent. (Returns a ComplexMatrix object.)
Power (matrix ComplexMatrix, matrix Matrix): Raise all entries of the first matrix to the power of each entry in the second matrix. (Returns a ComplexMatrix object.)
Real (matrix ComplexMatrix): Calculates the real value of each entry. (Returns a Matrix object.)
Sin (matrix ComplexMatrix): Calculate the sine of all the entries in the matrix. (Returns a ComplexMatrix object.)
Sqrt (matrix ComplexMatrix): Calculate the square root of all the entries in the matrix. (Returns a ComplexMatrix object.)
Sum (matrix ComplexMatrix): Calculate the sum of all the entries in the matrix. (Returns a Complex object.)
Tan (matrix ComplexMatrix): Calculate the tan of all the entries in the matrix. (Returns a ComplexMatrix object.)

Index List

[number]: Access the specified row in the matrix. (Read ComplexMatrixIndexer)

Property Details

ColumnCount

The number of columns in the matrix.

Type: number
Access: Read only

Im

The imaginary component of the complex matrix.

Type: Matrix
Access: Read/Write

Re

The real component of the complex matrix.

Type: Matrix
Access: Read/Write

RowCount

The number of rows in the matrix.

Type: number
Access: Read only

Type

The object type string.

Type: string
Access: Read only

im

The imaginary values of the ComplexMatrix.

Type: Matrix
Access: Read/Write

re

The real values of the ComplexMatrix.

Type: Matrix
Access: Read/Write

Method Details

Abs ()

Calculate the absolute value of all the entries in the matrix.

Return

Matrix: The absolute value.

Angle ()

Calculate the angle of all the entries in the matrix.

Return

Matrix: The angle.

Conj ()

Calculate the conjugate of all the entries in the matrix.

Return

ComplexMatrix: The conjugate.

Determinant ()

Calculate the determinant of the matrix.

Return

Complex: The determinant of the matrix.

Duplicate ()

Duplicate the matrix.

Return

ComplexMatrix: The duplicated matrix.

ExportMatFile (filename string, varname string)

Writes the given ComplexMatrix object to a *.mat file.

Input Parameters

filename(string): The name of the file.
varname(string): The name of the variable to export.

Return

boolean: Boolean indicating success.

FFT ()

Calculates the fast Fourier transform of the column or row matrix. For a matrix containing multiple columns and rows, the fast Fourier transform will be calculated for each of the columns.

Return

ComplexMatrix: The calculated FFT complex matrix.

IFFT ()

Calculates the inverse fast Fourier transform of the column or row matrix. For a matrix containing multiple columns and rows, the inverse fast Fourier transform will be calculated for each of the columns.

Return

ComplexMatrix: The calculated IFFT complex matrix.

Imag ()

Extract the imaginary part of all the entries in the matrix.

Return

Matrix: The imaginary value.

Inverse ()

Calculate the inverse matrix.

Return

ComplexMatrix: The inverse of the matrix.

Magnitude ()

Calculate the magnitude of all the entries in the matrix.

Return

Matrix: The magnitude value.

Max ()

Extracts the maximum from the matrix.

Return

Complex: The maximum value.

Mean ()

Calculates the mean value of the elements of the matrix.

Return

Complex: The mean value.

Min ()

Extracts the minimum from the matrix.

Return

Complex: The minimum value.

Phase ()

Calculate the phase of all the entries in the matrix.

Return

Matrix: The phase.

Real ()

Extract the real part of all the entries in the matrix.

Return

Matrix: The real value.

ReplaceSubMatrix (matrix ComplexMatrix, rowstart number, columnstart number)

Replace the sub matrix starting at the given indices with the provided matrix.

Input Parameters

matrix(ComplexMatrix): The new sub matrix.
rowstart(number): Starting row index of the sub matrix.
columnstart(number): Starting column index of the sub matrix.

SubMatrix (rowstart number, rowend number, columnstart number, columnend number)

Obtain the sub matrix from the given parameters.

Input Parameters

rowstart(number): Row start index.
rowend(number): Row end index.
columnstart(number): Column start index.
columnend(number): Column end index.

Return

ComplexMatrix: The sub matrix.

Sum ()

Calculates the sum of all the elements of the matrix.

Return

Complex: The sum.

Transpose ()

Calculate the transpose of the matrix.

Return

ComplexMatrix: The transpose of the matrix.

Static Function Details

Abs (matrix ComplexMatrix)

Calculates the absolute value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

Acos (matrix ComplexMatrix)

Calculate the arc cosine of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Angle (matrix ComplexMatrix)

Calculates the angle value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

Asin (matrix ComplexMatrix)

Calculate the arc sine of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Atan (matrix ComplexMatrix)

Calculate the arc tangent of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Ceil (matrix ComplexMatrix)

Calculate the ceiling of all the elements in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Conj (matrix ComplexMatrix)

Calculates the angle value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Cos (matrix ComplexMatrix)

Calculate the cosine of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Diagonal (values List of Complex)

Creates a diagonal matrix.

Input Parameters

values(List of Complex): The values to fill the matrix.

Return

ComplexMatrix: The new matrix.

Exponent (matrix ComplexMatrix)

Calculate the exponent of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Find (matrix Matrix)

Finds all entries in the matrix that are non-zero.

Input Parameters

matrix(Matrix): The matrix.

Return

table: The result matrix.

Floor (matrix ComplexMatrix)

Calculate the floor of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

GreaterThan (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are greater than each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The matrix used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThan (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are greater than each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The matrix used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThan (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries greater than the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThan (matrix ComplexMatrix, value number)

Determines if a matrix has entries greater than the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThanOrEqual (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are greater than or equal to each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThanOrEqual (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are greater than or equal to each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThanOrEqual (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries greater than or equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

GreaterThanOrEqual (matrix ComplexMatrix, value number)

Determines if a matrix has entries greater than or equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

Identity (size number)

Creates an identity matrix.

Input Parameters

size(number): The size of the matrix.

Return

ComplexMatrix: The new matrix.

Imag (matrix ComplexMatrix)

Calculates the imaginary value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

IsEqual (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are equal.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The second matrix.

Return

Matrix: One and zero filled matrix.

IsEqual (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are equal.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The second matrix.

Return

Matrix: One and zero filled matrix.

IsEqual (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

IsEqual (matrix ComplexMatrix, value number)

Determines if a matrix has entries equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThan (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are less than each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The matrix used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThan (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are less than each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The matrix used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThan (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries less than the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThan (matrix ComplexMatrix, value number)

Determines if a matrix has entries less than the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThanOrEqual (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are less than or equal to each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThanOrEqual (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are less than or equal to each other.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThanOrEqual (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries less than or equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

LessThanOrEqual (matrix ComplexMatrix, value number)

Determines if a matrix has entries less than or equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The first matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

Log (matrix ComplexMatrix)

Calculate the log of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Log10 (matrix ComplexMatrix)

Calculate the log10 of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Magnitude (matrix ComplexMatrix)

Calculates the magnitude value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

Max (matrix ComplexMatrix, matrix ComplexMatrix)

Calculate the maximum of two corresponding entries from two matrices.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The second matrix.

Return

ComplexMatrix: The result matrix.

Max (matrix ComplexMatrix)

Calculate the maximum of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Complex: The maximum value.

Mean (matrix ComplexMatrix)

Calculate the mean of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Complex: The mean value.

Min (matrix ComplexMatrix, matrix ComplexMatrix)

Calculate the minimum of two corresponding entries from two matrices.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The second matrix.

Return

ComplexMatrix: The result matrix.

Min (matrix ComplexMatrix)

Calculate the minimum of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Complex: The minimum value.

MultiplyByElement (matrix ComplexMatrix, matrix ComplexMatrix)

Calculate the exponent of all the elements in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix used to perform operation.
matrix(ComplexMatrix): The multiply matrix.

Return

ComplexMatrix: The result of the two matrices entries multiplied with each other.

MultiplyByElement (matrix ComplexMatrix, value Complex)

Calculate the exponent of all the elements in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix used to perform operation.
value(Complex): The value that will be multiplied to each of the entries in the matrix.

Return

ComplexMatrix: The result of all the entries multiplied by the scalar value.

MultiplyByElement (matrix ComplexMatrix, value number)

Calculate the exponent of all the elements in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix used to perform operation.
value(number): The value that will be multiplied to each of the entries in the matrix.

Return

ComplexMatrix: The result of all the entries multiplied by the scalar value.

Negate (matrix ComplexMatrix)

Negate each entry of the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

New (rows number, columnValues List of Complex)

Creates a new matrix.

Input Parameters

rows(number): The number of rows in the matrix. Each column value will be duplicated for every row.
columnValues(List of Complex): The values to place in each of the columns.

Return

ComplexMatrix: The new matrix.

New (rowValues List of Complex, columns number)

Creates a new matrix.

Input Parameters

rowValues(List of Complex): The values to place in each of the rows.
columns(number): The number of columns in the matrix. Each row value will be duplicated for every column.

Return

ComplexMatrix: The new matrix.

New (rows number, columns number, fill Complex)

Creates a new matrix.

Input Parameters

rows(number): The number of rows in the matrix.
columns(number): The number of columns in the matrix.
fill(Complex): The value used to fill the matrix.

Return

ComplexMatrix: The new matrix.

New (rows number, columns number)

Creates a new matrix with uninitialised elements.

Input Parameters

rows(number): The number of rows in the matrix.
columns(number): The number of columns in the matrix.

Return

ComplexMatrix: The new matrix.

NotEqual (matrix ComplexMatrix, matrix ComplexMatrix)

Determines if the entries of two matrices are not equal.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The second matrix.

Return

Matrix: One and zero filled matrix.

NotEqual (matrix ComplexMatrix, matrix Matrix)

Determines if the entries of two matrices are not equal.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The second matrix.

Return

Matrix: One and zero filled matrix.

NotEqual (matrix ComplexMatrix, value Complex)

Determines if a matrix has entries not equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The matrix.
value(Complex): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

NotEqual (matrix ComplexMatrix, value number)

Determines if a matrix has entries not equal to the specified value.

Input Parameters

matrix(ComplexMatrix): The matrix.
value(number): The value used to test each entry.

Return

Matrix: One and zero filled matrix.

Ones (size number)

Creates a new matrix filled with ones.

Input Parameters

size(number): The size of the matrix.

Return

ComplexMatrix: The new matrix.

Phase (matrix ComplexMatrix)

Calculates the phase value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

Power (matrix ComplexMatrix, matrix ComplexMatrix)

Raise all entries of the first matrix to the power of each entry in the second matrix.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(ComplexMatrix): The second matrix.

Return

ComplexMatrix: The power of all the elements in the matrix.

Power (matrix ComplexMatrix, exponent Complex)

Raise each entry to the power of the exponent.

Input Parameters

matrix(ComplexMatrix): The matrix.
exponent(Complex): The exponent.

Return

ComplexMatrix: The result matrix.

Power (matrix ComplexMatrix, exponent number)

Raise each entry to the power of the exponent.

Input Parameters

matrix(ComplexMatrix): The matrix.
exponent(number): The exponent.

Return

ComplexMatrix: The result matrix.

Power (matrix ComplexMatrix, matrix Matrix)

Raise all entries of the first matrix to the power of each entry in the second matrix.

Input Parameters

matrix(ComplexMatrix): The first matrix.
matrix(Matrix): The second matrix.

Return

ComplexMatrix: The power of all the elements in the matrix.

Real (matrix ComplexMatrix)

Calculates the real value of each entry.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Matrix: The result matrix.

Sin (matrix ComplexMatrix)

Calculate the sine of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Sqrt (matrix ComplexMatrix)

Calculate the square root of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Sum (matrix ComplexMatrix)

Calculate the sum of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

Complex: The sum.

Tan (matrix ComplexMatrix)

Calculate the tan of all the entries in the matrix.

Input Parameters

matrix(ComplexMatrix): The matrix.

Return

ComplexMatrix: The result matrix.

Zeros (size number)

Creates a new matrix filled with zeros.

Input Parameters

size(number): The size of the matrix.

Return

ComplexMatrix: The new matrix.