NAG Library Routine Document

x04dcf (print_matrix_complex_packed)

 Contents

    1  Purpose
    7  Accuracy

1
Purpose

x04dcf is an easy-to-use routine to print a complex triangular matrix stored in a packed one-dimensional array.

2
Specification

Fortran Interface
Subroutine x04dcf ( uplo, diag, n, a, title, ifail)
Integer, Intent (In):: n
Integer, Intent (Inout):: ifail
Complex (Kind=nag_wp), Intent (In):: a(*)
Character (*), Intent (In):: title
Character (1), Intent (In):: uplo, diag
C Header Interface
#include nagmk26.h
void  x04dcf_ (const char *uplo, const char *diag, const Integer *n, const Complex a[], const char *title, Integer *ifail, const Charlen length_uplo, const Charlen length_diag, const Charlen length_title)

3
Description

x04dcf prints a complex triangular matrix stored in packed form. It is an easy-to-use driver for x04ddf. The routine uses default values for the format in which numbers are printed, for labelling the rows and columns, and for output record length. The matrix must be packed by column.
x04dcf will choose a format code such that numbers will be printed with an F8.4, an F11.4 or a 1PE13.4 format . The F8.4 code is chosen if the sizes of all the matrix elements to be printed lie between 0.001 and 1.0. The F11.4 code is chosen if the sizes of all the matrix elements to be printed lie between 0.001 and 9999.9999. Otherwise the 1PE13.4 code is chosen. The chosen code is used to print each complex element of the matrix with the real part above the imaginary part.
The matrix is printed with integer row and column labels, and with a maximum record length of 80.
The matrix is output to the unit defined by x04abf.

4
References

None.

5
Arguments

1:     uplo – Character(1)Input
On entry: indicates the type of the matrix to be printed
uplo='L'
The matrix is lower triangular. In this case, the packed array a holds the matrix elements in the following order: 1,1,2,1,,n,1,2,2,3,2,,n,2, etc.
uplo='U'
The matrix is upper triangular. In this case, the packed array a holds the matrix elements in the following order: 1,1,1,2,2,2,1,3,2,3,3,3,1,4, etc.
Constraint: uplo='L' or 'U'.
2:     diag – Character(1)Input
On entry: indicates whether the diagonal elements of the matrix are to be printed.
diag='B'
The diagonal elements of the matrix are not referenced and not printed.
diag='U'
The diagonal elements of the matrix are not referenced, but are assumed all to be unity, and are printed as such.
diag='N'
The diagonal elements of the matrix are referenced and printed.
Constraint: diag='B', 'U' or 'N'.
3:     n – IntegerInput
On entry: the order of the matrix to be printed.
If n is less than 1, x04dcf will exit immediately after printing title; no row or column labels are printed.
4:     a* – Complex (Kind=nag_wp) arrayInput
Note: the dimension of the array a must be at least max1,n×n+1/2.
On entry: the matrix to be printed. Note that a must have space for the diagonal elements of the matrix, even if these are not stored.
More precisely,
  • if uplo='U', the upper triangle of A must be stored with element Aij in ai+jj-1/2 for ij;
  • if uplo='L', the lower triangle of A must be stored with element Aij in ai+2n-jj-1/2 for ij.
If diag='U', the diagonal elements of A are assumed to be 1, and are not referenced; the same storage scheme is used whether diag='N' or ‘U’.
5:     title – Character(*)Input
On entry: a title to be printed above the matrix.
If title=' ', no title (and no blank line) will be printed.
If title contains more than 80 characters, the contents of title will be wrapped onto more than one line, with the break after 80 characters.
Any trailing blank characters in title are ignored.
6:     ifail – IntegerInput/Output
On entry: ifail must be set to 0, -1​ or ​1. If you are unfamiliar with this argument you should refer to Section 3.4 in How to Use the NAG Library and its Documentation for details.
For environments where it might be inappropriate to halt program execution when an error is detected, the value -1​ or ​1 is recommended. If the output of error messages is undesirable, then the value 1 is recommended. Otherwise, if you are not familiar with this argument, the recommended value is 0. When the value -1​ or ​1 is used it is essential to test the value of ifail on exit.
On exit: ifail=0 unless the routine detects an error or a warning has been flagged (see Section 6).

6
Error Indicators and Warnings

If on entry ifail=0 or -1, explanatory error messages are output on the current error message unit (as defined by x04aaf).
Errors or warnings detected by the routine:
ifail=1
On entry,uplo'L' or 'U'.
ifail=2
On entry,diag'N', 'U' or 'B'.
ifail=-99
An unexpected error has been triggered by this routine. Please contact NAG.
See Section 3.9 in How to Use the NAG Library and its Documentation for further information.
ifail=-399
Your licence key may have expired or may not have been installed correctly.
See Section 3.8 in How to Use the NAG Library and its Documentation for further information.
ifail=-999
Dynamic memory allocation failed.
See Section 3.7 in How to Use the NAG Library and its Documentation for further information.

7
Accuracy

Not applicable.

8
Parallelism and Performance

x04dcf is not threaded in any implementation.

9
Further Comments

A call to x04dcf is equivalent to a call to x04ddf with the following argument values:

NCOLS = 80
INDENT = 0
LABROW = 'I'
LABCOL = 'I'
FORM = ' '
USEFRM = 'A' 

10
Example

The example program calls x04dcf twice, first to print a 3 by 3 lower triangular matrix, and then to print a 4 by 4 upper triangular matrix.

10.1
Program Text

Program Text (x04dcfe.f90)

10.2
Program Data

None.

10.3
Program Results

Program Results (x04dcfe.r)

© The Numerical Algorithms Group Ltd, Oxford, UK. 2017