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Version 1.9 Build 1556

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matrix - Tool

	Package	utility
	Module	mathematics

Postscript file available

A collection of matrix/vector routines

include "matrix.g"

Constructors
Functions

angle	Find the angle between two vectors
cosangle	Find the cosine of the angle between two vectors
crossproduct	vector cross-product
diagonalmatrix	make an n x n diagonal matrix
directproduct	Direct Matrix Product
dotproduct	vector dot-product
help	print a summary of matrix functions
invert	Invert a matrix
mean	the mean of the elements
mult	matrix multiplication
norm	the `norm' of a vector or matrix
print	print a matrix/vector
rms	the root mean square (rms) of the elements
rotate	rotate a 2D (plain) vector
rotationmatrix	make a 2 x 2 rotation matrix
symbolic	Make a symbolic matrix/vector
test	a test of most matrix functions
transpose	Transpose a matrix
unitmatrix	make an n x n unit matrix

Description

The functions in this tool have not been tested as rigorously as other parts of AIPS++. This tool can be considered ``alpha'' code.

matrix is a collection of common matrix and vector operations in Glish. It includes the Direct Matrix Product (used in the AIPS++ Measurement Equation), and a simple matrix inversion which also works with rectangular matrices. The latter should in time be replaced by a C++ executable (DO), which should then implement a choice of more sophisticated techniques than Gauss-Jordan inversion. All operations also work with complex numbers.

NB: Glish itself provides a number of element-by-element vector and array operations like addition etc. These have not been duplicated here.

Example
The functions are encapsulated in a separate tool, and take matrices and vectors as arguments:

- include "matrix.g"
- mx.help();

Now, let us do a matrix multiplication:

- m1 := array([1:6],2,3);
- print m1;
- m2 := array([1:12],3,4);
- print m2;
- m3 := mx.mult(m1,m2);
- print m3;