JMSLTM Numerical Library 6.1

com.imsl.math
Class Matrix

java.lang.Object
  extended by com.imsl.math.Matrix

public class Matrix
extends Object

Matrix manipulation functions.

See Also:
Example

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[][] inverseLowerTriangular(double[][] a)
          Returns the inverse of the lower triangular matrix a.
static double[][] inverseUpperTriangular(double[][] a)
          Returns the inverse of the upper triangular matrix a.
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[][] a, double[][] b, int processors)
          Multiply two rectangular arrays, a * b, using multiple processors.
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

add

public static double[][] add(double[][] a,
                             double[][] b)
Add two rectangular arrays, a + b.

Parameters:
a - a double rectangular array
b - a double rectangular array
Returns:
a double rectangular array representing the matrix sum of the two arguments

checkMatrix

public static void checkMatrix(double[][] a)
Check that all of the rows in the matrix have the same length.

Parameters:
a - a double matrix

checkSquareMatrix

public static void checkSquareMatrix(double[][] a)
Check that the matrix is square.

Parameters:
a - a double matrix

frobeniusNorm

public static double frobeniusNorm(double[][] a)
Return the Frobenius norm of a matrix.

Parameters:
a - a double rectangular array
Returns:
a double scalar value equal to the Frobenius norm of the matrix.

infinityNorm

public static double infinityNorm(double[][] a)
Return the infinity norm of a matrix.

Parameters:
a - a double rectangular array
Returns:
a double scalar value equal to the maximum of the row sums of the absolute values of the array elements

inverseLowerTriangular

public static double[][] inverseLowerTriangular(double[][] a)
Returns the inverse of the lower triangular matrix a.

Parameters:
a - a double square lower triangular matrix
Returns:
a double matrix containing the inverse of a

inverseUpperTriangular

public static double[][] inverseUpperTriangular(double[][] a)
Returns the inverse of the upper triangular matrix a.

Parameters:
a - a double square upper triangular matrix
Returns:
a double matrix containing the inverse of a

multiply

public static double[] multiply(double[][] a,
                                double[] x)
Multiply the rectangular array a and the column array x.

Parameters:
a - a double rectangular matrix
x - a double column array
Returns:
a double vector representing the product of the arguments, a*x

multiply

public static double[][] multiply(double[][] a,
                                  double[][] b)
Multiply two rectangular arrays, a * b.

Parameters:
a - a double rectangular array
b - a double rectangular array
Returns:
the double matrix product of a times b

multiply

public static double[][] multiply(double[][] a,
                                  double[][] b,
                                  int processors)
Multiply two rectangular arrays, a * b, using multiple processors.

Parameters:
a - a double rectangular array
b - a double rectangular array
processors - An int which specifies the number of processors to use. If processors is less than 1, then processors = 1 is used.
Returns:
the double matrix product of a times b

multiply

public static double[] multiply(double[] x,
                                double[][] a)
Return the product of the row array x and the rectangular array a.

Parameters:
x - a double row array
a - a double rectangular matrix
Returns:
a double vector representing the product of the arguments, x*a.

oneNorm

public static double oneNorm(double[][] a)
Return the matrix one norm.

Parameters:
a - a double rectangular array
Returns:
a double value equal to the maximum of the column sums of the absolute values of the array elements

subtract

public static double[][] subtract(double[][] a,
                                  double[][] b)
Subtract two rectangular arrays, a - b.

Parameters:
a - a double rectangular array
b - a double rectangular array
Returns:
a double rectangular array representing the matrix difference of the two arguments

transpose

public static double[][] transpose(double[][] a)
Return the transpose of a matrix.

Parameters:
a - a double matrix
Returns:
a double matrix which is the transpose of the argument

JMSLTM Numerical Library 6.1

Copyright © 1970-2010 Visual Numerics, Inc.
Built July 30 2010.