
Cantata(Subform)             Khoros              Cantata(Subform)

     MATRIX ALGEBRA ROUTINES

     These routines implement functions that operate on matrices.
     Generally, these routines will operate on double and double
     complex images that contain matrices (one per band).

     SHORT DESCRIPTION OF ROUTINES

     Invert Matrix -     generate the inverse of a matrix.

     Transpose Matrix -  generate the transpose of a matrix.

     Sing. Value Decomp -
                         generate any or all of three matrices
                         U,S, and V such that A = U*S*V'

     Eigenvalues/vectors -
                         generate either or both of (1) a matrix
                         containing the eigenvalues of the system
                         represented by the input matrix, and (2)
                         a matrix containing the corresponding
                         eigenvectors as column matrices.

     Matrix Multiply -   multiply two input matrices together.

     LU Factorization -  generate either or both of the L and U
                         parts of the LU factorization of the
                         input matrix.

     Simultaneous Eqs. - solve a system of simultaneous equations
                         given the coefficient matrix and the b-
                         vector.

     Differential Eqs. - solves a system of linear, constant
                         coefficient, ordinary differential equa-
                         tions with constant driving functions.

     Matrix Information -
                         obtains the determinant, condition, and
                         various norms of an image file of
                         matrices.

     Covariance Matrix - Compute the covariance matrix of a vec-
                         tor image.

     Copyright 1991, University of New Mexico. All rights
     reserved.

Khoros                    Release: 1.0                          1

