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JMSLTM Numerical Library 4.0 | ||||||||
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java.lang.Object com.imsl.math.Matrix
Matrix manipulation functions.
Method Summary | |
static double[][] |
add(double[][] a,
double[][] b)
Add two rectangular arrays, a + b. |
static void |
checkMatrix(double[][] a)
Check that all of the rows in the matrix have the same length. |
static void |
checkSquareMatrix(double[][] a)
Check that the matrix is square. |
static double |
frobeniusNorm(double[][] a)
Return the Frobenius norm of a matrix. |
static double |
infinityNorm(double[][] a)
Return the infinity norm of a matrix. |
static double[] |
multiply(double[][] a,
double[] x)
Multiply the rectangular array a and the column array x. |
static double[][] |
multiply(double[][] a,
double[][] b)
Multiply two rectangular arrays, a * b. |
static double[] |
multiply(double[] x,
double[][] a)
Return the product of the row array x and the rectangular array a. |
static double |
oneNorm(double[][] a)
Return the matrix one norm. |
static double[][] |
subtract(double[][] a,
double[][] b)
Subtract two rectangular arrays, a - b. |
static double[][] |
transpose(double[][] a)
Return the transpose of a matrix. |
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Method Detail |
public static double[][] add(double[][] a, double[][] b)
a
- a double
rectangular arrayb
- a double
rectangular array
double
rectangular array representing the
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(double[][] a)
a
- a double
matrix
IllegalArgumentException
- This exception is thrown when the lengths of the
rows of the input matrix are not uniform.public static void checkSquareMatrix(double[][] a)
a
- a double
matrix
IllegalArgumentException
- This exception is thrown when the matrix is not square.public static double frobeniusNorm(double[][] a)
a
- a double
rectangular array
double
scalar value equal to the
Frobenius norm of the matrix.public static double infinityNorm(double[][] a)
a
- a double
rectangular array
double
scalar value equal to the maximum
of the row sums of the absolute values of the
array elementspublic static double[] multiply(double[][] a, double[] x)
a
- a double
rectangular matrixx
- a double
column array
double
vector representing 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, or
(2) the number of columns in the input matrix is not equal to
the number of elements in the input column vector.public static double[][] multiply(double[][] a, double[][] b)
a
- a double
rectangular arrayb
- a double
rectangular array
double
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 double[] multiply(double[] x, double[][] a)
x
- a double
row arraya
- a double
rectangular matrix
double
matrix representing 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(double[][] a)
a
- a double
rectangular array
double
value equal to the maximum of the column
sums of the absolute values of the array elementspublic static double[][] subtract(double[][] a, double[][] b)
a
- a double
rectangular arrayb
- a double
rectangular array
double
rectangular array representing the 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 double[][] transpose(double[][] a)
a
- a double
matrix
double
matrix which is the 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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SUMMARY: NESTED | FIELD | CONSTR | METHOD | DETAIL: FIELD | CONSTR | METHOD |