ZTPTRI - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)
NAMEZTPTRI - computes the inverse of a complex upper or lower triangular matrix A stored in packed format
SYNOPSISSUBROUTINE ZTPTRI(  UPLO, DIAG, N, AP, INFO )  CHARACTER DIAG, UPLO  INTEGER INFO, N  COMPLEX*16 AP( * )
PURPOSEZTPTRI computes the inverse of a complex upper or lower triangular matrix A stored in packed format.
ARGUMENTSUPLO (input) CHARACTER*1  = 'U': A is upper triangular;
= 'L': A is lower triangular. DIAG (input) CHARACTER*1  
= 'N': A is non-unit triangular;
= 'U': A is unit triangular. N (input) INTEGER  The order of the matrix A. N >= 0. AP (input/output) COMPLEX*16 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 (output) 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.
FURTHER DETAILSA 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
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