minfo(1)

PROGRAM
minfo - obtain information about a matrix

SYNTAX

minfo

-i  input matrix

[-o]
    information text file

[-V]
    Gives the version for minfo

[-U]
    Gives the usage for minfo

[-P]
    Prompts for command line options

[-A [file1]]
    Creates the answer file called minfo.ans or file1

[-a [file1]]
    Uses minfo.ans or file1 as the answer file

DESCRIPTION
obtain information about a matrix. The information output includes the matrix' dimensions, an estimate of its condition, its determinant if it is square, and its norm, "Euclidean norm", and 1-norm.

The condition of the matrix is determined by calculating the ratio of the largest and smallest singular values of the matrix.

The norm is defined as the largest singular value of the matrix. The 1-norm and Euclidean norm are obtained by selecting the max of the norms of the column vectors. The vector norm for the 1-norm is defined as the sum of the elements of the vector. For the Euclidean norm, the vector norm is defined as the square root of the sum of the squares of the elements of the vector (i.e. the n-space distance from the origin).

REQUIRED ARGUMENTS

-i  type: infile
    desc: input matrix

OPTIONAL ARGUMENTS

-o  type: outfile
    desc: information text file

EXAMPLES

SEE ALSO
intro(1), verror(3), vgparms(3), vutils(3), lminfo(3)

RESTRICTIONS

COPYRIGHT
Copyright 1992, University of New Mexico. All rights reserved.