Scroll to navigation

ZTPTRI(1) LAPACK routine (version 3.2) ZTPTRI(1)

NAME

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

SYNOPSIS

UPLO, DIAG, N, AP, INFO )

CHARACTER DIAG, UPLO INTEGER INFO, N COMPLEX*16 AP( * )

PURPOSE

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

ARGUMENTS

= 'U': A is upper triangular;
= 'L': A is lower triangular.

= 'N': A is non-unit triangular;
= 'U': A is unit triangular.
The order of the matrix A. N >= 0.
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.
= 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 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

November 2008 LAPACK routine (version 3.2)