nr
Class MatMath

java.lang.Object
  nr.MatMath

public class MatMath
extends java.lang.Object

basic functions for vector and matrix math not particularly efficient--they allocate a lot of objects that are promptly deallocated

Author:

Daniel Wachsstock

Method Summary

static Mat	add(Mat a, Mat b) result = a + b
static Vec	add(Vec a, Vec b) result = a + b
static double	dot(Vec a, Vec b) result = inner product of a and b.
static boolean	isIdentity(Mat A)
static void	main(java.lang.String[] args) test suite
static Mat	mul(double d, Mat a) result = d * a
static Vec	mul(double d, Vec a) result = d * a
static Mat	mul(Mat a, Mat b) result = a * b
static Vec	mul(Mat a, Vec b) result = a * b
static Vec	mul(Vec a, Mat b) result = a * b
static double	norm1(Vec v) result = sum ( abs(elements (v)))
static double	norm2(Vec v) result = sqrt (sum (elements (v) ^2))
static double	normInf(Vec v) result = max ( abs(elements (v)))
static Mat	transpose(Mat a) result = transpose (a)

Methods inherited from class java.lang.Object

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

Method Detail

add

public static Vec add(Vec a,
                      Vec b)

result = a + b

mul

public static Vec mul(double d,
                      Vec a)

result = d * a

dot

public static double dot(Vec a,
                         Vec b)

result = inner product of a and b.

add

public static Mat add(Mat a,
                      Mat b)

result = a + b

mul

public static Mat mul(double d,
                      Mat a)

result = d * a

mul

public static Vec mul(Mat a,
                      Vec b)

result = a * b

mul

public static Vec mul(Vec a,
                      Mat b)

result = a * b

mul

public static Mat mul(Mat a,
                      Mat b)

result = a * b

transpose

public static Mat transpose(Mat a)

result = transpose (a)

norm1

public static double norm1(Vec v)

result = sum ( abs(elements (v)))

norm2

public static double norm2(Vec v)

result = sqrt (sum (elements (v) ^2))

normInf

public static double normInf(Vec v)

result = max ( abs(elements (v)))

main

public static void main(java.lang.String[] args)

test suite

isIdentity

public static boolean isIdentity(Mat A)