ctptri.f man page

ctptri.f —

Synopsis

Functions/Subroutines

subroutine ctptri (UPLO, DIAG, N, AP, INFO)
CTPTRI

Function/Subroutine Documentation

subroutine ctptri (characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, integerINFO)

CTPTRI

Purpose:

CTPTRI computes the inverse of a complex upper or lower triangular
matrix A stored in packed format.

Parameters:

UPLO

UPLO is CHARACTER*1
= 'U':  A is upper triangular;
= 'L':  A is lower triangular.

DIAG

DIAG is CHARACTER*1
= 'N':  A is non-unit triangular;
= 'U':  A is unit triangular.

N

N is INTEGER
The order of the matrix A.  N >= 0.

AP

AP is COMPLEX array, dimension (N*(N+1)/2)
On entry, the upper or lower triangular matrix A, stored
columnwise in a linear array.  The j-th column of A is stored
in the array AP as follows:
if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n.
See below for further details.
On exit, the (triangular) inverse of the original matrix, in
the same packed storage format.

INFO

INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value
> 0:  if INFO = i, A(i,i) is exactly zero.  The triangular
      matrix is singular and its inverse can not be computed.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details:

A triangular matrix A can be transferred to packed storage using one
of the following program segments:

UPLO = 'U':                      UPLO = 'L':

      JC = 1                           JC = 1
      DO 2 J = 1, N                    DO 2 J = 1, N
         DO 1 I = 1, J                    DO 1 I = J, N
            AP(JC+I-1) = A(I,J)              AP(JC+I-J) = A(I,J)
    1    CONTINUE                    1    CONTINUE
         JC = JC + J                      JC = JC + N - J + 1
    2 CONTINUE                       2 CONTINUE

Definition at line 118 of file ctptri.f.

Author

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Referenced By

ctptri(3) is an alias of ctptri.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK