com.imsl.math
Class ComplexMatrix

java.lang.Object
  com.imsl.math.ComplexMatrix

public class ComplexMatrix
extends Object

Complex matrix manipulation functions.

See Also:

Example

Method Summary

static Complex[][]	add(Complex[][] a, Complex[][] b) Add two rectangular Complex arrays, a + b.
static void	checkMatrix(Complex[][] a) Check that all of the rows in the Complex matrix have the same length.
static void	checkSquareMatrix(Complex[][] a) Check that the Complex matrix is square.
static double	frobeniusNorm(Complex[][] a) Return the Frobenius norm of a Complex matrix.
static double	infinityNorm(Complex[][] a) Return the infinity norm of a Complex matrix.
static Complex[]	multiply(Complex[][] a, Complex[] x) Multiply the rectangular array a and the column vector x, both Complex.
static Complex[][]	multiply(Complex[][] a, Complex[][] b) Multiply two Complex rectangular arrays, a * b.
static Complex[][]	multiply(Complex[][] a, Complex[][] b, int threads) Multiply two Complex rectangular arrays, a * b, using multiple threads.
static Complex[]	multiply(Complex[] x, Complex[][] a) Return the product of the row vector x and the rectangular array a, both Complex.
static double	oneNorm(Complex[][] a) Return the Complex matrix one norm.
static Complex[][]	subtract(Complex[][] a, Complex[][] b) Subtract two Complex rectangular arrays, a - b.
static Complex[][]	transpose(Complex[][] a) Return the transpose of a Complex matrix.

Methods inherited from class java.lang.Object

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

Method Detail

add

public static Complex[][] add(Complex[][] a,
                              Complex[][] b)

Add two rectangular Complex arrays, a + b.

Parameters:

a - a Complex rectangular array

b - a Complex rectangular array

Returns:

the Complex matrix sum of the two arguments

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of either of the input matrices are not uniform, or (2) the matrices are not the same size.

checkMatrix

public static void checkMatrix(Complex[][] a)

Check that all of the rows in the Complex matrix have the same length.

Parameters:

a - a Complex matrix

Throws:

IllegalArgumentException - This exception is thrown when the lengths of the rows of the input matrix are not uniform.

checkSquareMatrix

public static void checkSquareMatrix(Complex[][] a)

Check that the Complex matrix is square.

Parameters:

a - a Complex matrix

Throws:

IllegalArgumentException - This exception is thrown when the matrix is not square..

frobeniusNorm

public static double frobeniusNorm(Complex[][] a)

Return the Frobenius norm of a Complex matrix.

Parameters:

a - a Complex rectangular matrix

Returns:

a double value equal to the Frobenius norm of the matrix

Throws:

IllegalArgumentException - This exception is thrown when the lengths of the rows of the input matrix is not uniform.

infinityNorm

public static double infinityNorm(Complex[][] a)

Return the infinity norm of a Complex matrix.

Parameters:

a - a Complex rectangular matrix

Returns:

a double value equal to the maximum of the row sums of the absolute values of the array elements.

Throws:

IllegalArgumentException - This exception is thrown when the lengths of the rows of the input matrix is not uniform.

multiply

public static Complex[] multiply(Complex[][] a,
                                 Complex[] x)

Multiply the rectangular array a and the column vector x, both Complex.

Parameters:

a - a Complex rectangular matrix

x - a Complex vector

Returns:

a Complex vector containing the product of the arguments, a*x

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of the input matrix are not uniform, and (2) the number of columns in the input matrix is not equal to the number of elements in the input vector.

multiply

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

Multiply two Complex rectangular arrays, a * b.

Parameters:

a - a Complex rectangular array

b - a Complex rectangular array

Returns:

the Complex matrix product of a times b

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of either of the input matrices are not uniform, or (2) the number of columns in a is not equal to the number of rows in b.

multiply

public static Complex[][] multiply(Complex[][] a,
                                   Complex[][] b,
                                   int threads)

Multiply two Complex rectangular arrays, a * b, using multiple threads.

Parameters:

a - a Complex rectangular array

b - a Complex rectangular array

threads - An int which specifies the number of threads to use. If threads is less than 1, then threads = 1 is used.

Returns:

the Complex matrix product of a times b

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of either of the input matrices are not uniform, or (2) the number of columns in a is not equal to the number of rows in b.

multiply

public static Complex[] multiply(Complex[] x,
                                 Complex[][] a)

Return the product of the row vector x and the rectangular array a, both Complex.

Parameters:

x - a Complex row vector

a - a Complex rectangular matrix

Returns:

a Complex vector containing the product of the arguments, x*a.

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of the input matrix are not uniform, or (2) the number of elements in the input vector is not equal to the number of rows of the matrix.

oneNorm

public static double oneNorm(Complex[][] a)

Return the Complex matrix one norm.

Parameters:

a - a Complex rectangular array

Returns:

a double value equal to the maximum of the column sums of the absolute values of the array elements

Throws:

IllegalArgumentException - This exception is thrown when the lengths of the rows of the input matrix is not uniform.

subtract

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

Subtract two Complex rectangular arrays, a - b.

Parameters:

a - a Complex rectangular array

b - a Complex rectangular array

Returns:

the Complex matrix difference of the two arguments.

Throws:

IllegalArgumentException - This exception is thrown when (1) the lengths of the rows of either of the input matrices are not uniform, or (2) the matrices are not the same size.

transpose

public static Complex[][] transpose(Complex[][] a)

Return the transpose of a Complex matrix.

Parameters:

a - a Complex matrix

Returns:

the Complex matrix transpose of the argument

Throws:

IllegalArgumentException - This exception is thrown when the lengths of the rows of the input matrix are not uniform.