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JMSLTM Numerical Library 4.0 | ||||||||
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java.lang.Object com.imsl.math.ComplexMatrix
Complex matrix manipulation functions.
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[] 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 |
public static Complex[][] add(Complex[][] a, Complex[][] b)
Complex
arrays, a + b.
a
- a Complex
rectangular arrayb
- a Complex
rectangular array
Complex
matrix sum of the two arguments
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.public static void checkMatrix(Complex[][] a)
Complex
matrix have the same length.
a
- a Complex
matrix
IllegalArgumentException
- This exception is thrown when the lengths of the
rows of the input matrix are not uniform.public static void checkSquareMatrix(Complex[][] a)
Complex
matrix is square.
a
- a Complex
matrix
IllegalArgumentException
- This exception is thrown when the matrix is not square..public static double frobeniusNorm(Complex[][] a)
Complex
matrix.
a
- a Complex
rectangular matrix
double
value equal to the Frobenius norm of the matrix
IllegalArgumentException
- This exception is thrown when
the lengths of the rows of the input matrix is not uniform.public static double infinityNorm(Complex[][] a)
Complex
matrix.
a
- a Complex
rectangular matrix
double
value equal to the maximum of the row sums
of the absolute values of the array elements.
IllegalArgumentException
- This exception is thrown when
the lengths of the rows of the input matrix is not uniform.public static Complex[] multiply(Complex[][] a, Complex[] x)
Complex
.
a
- a Complex
rectangular matrixx
- a Complex
vector
Complex
vector containing the product of the arguments, A*x
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.public static Complex[][] multiply(Complex[][] a, Complex[][] b)
Complex
rectangular arrays, a * b.
a
- a Complex
rectangular arrayb
- a Complex
rectangular array
Complex
matrix product of a times b
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.public static Complex[] multiply(Complex[] x, Complex[][] a)
Complex
.
x
- a Complex
row vectora
- a Complex
rectangular matrix
Complex
vector containing the product of the arguments, x*A.
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.public static double oneNorm(Complex[][] a)
Complex
matrix one norm.
a
- a Complex
rectangular array
double
value equal to the maximum of the column sums
of the absolute values of the array elements
IllegalArgumentException
- This exception is thrown when
the lengths of the rows of the input matrix is not uniform.public static Complex[][] subtract(Complex[][] a, Complex[][] b)
Complex
rectangular arrays, a - b.
a
- a Complex
rectangular arrayb
- a Complex
rectangular array
Complex
matrix difference of the two arguments.
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.public static Complex[][] transpose(Complex[][] a)
Complex
matrix.
a
- a Complex
matrix
Complex
matrix transpose of the argument
IllegalArgumentException
- This exception is thrown when
the lengths of the rows of the input matrix are not uniform.
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JMSLTM Numerical Library 4.0 | ||||||||
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