.TH "SRC/zsptri.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/zsptri.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzsptri\fP (uplo, n, ap, ipiv, work, info)" .br .RI "\fBZSPTRI\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zsptri (character uplo, integer n, complex*16, dimension( * ) ap, integer, dimension( * ) ipiv, complex*16, dimension( * ) work, integer info)" .PP \fBZSPTRI\fP .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZSPTRI computes the inverse of a complex symmetric indefinite matrix !> A in packed storage using the factorization A = U*D*U**T or !> A = L*D*L**T computed by ZSPTRF\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf !> UPLO is CHARACTER*1 !> Specifies whether the details of the factorization are stored !> as an upper or lower triangular matrix\&. !> = 'U': Upper triangular, form is A = U*D*U**T; !> = 'L': Lower triangular, form is A = L*D*L**T\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The order of the matrix A\&. N >= 0\&. !> .fi .PP .br \fIAP\fP .PP .nf !> AP is COMPLEX*16 array, dimension (N*(N+1)/2) !> On entry, the block diagonal matrix D and the multipliers !> used to obtain the factor U or L as computed by ZSPTRF, !> stored as a packed triangular matrix\&. !> !> On exit, if INFO = 0, the (symmetric) inverse of the original !> matrix, stored as a packed triangular matrix\&. The j-th column !> of inv(A) is stored in the array AP as follows: !> if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; !> if UPLO = 'L', !> AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n\&. !> .fi .PP .br \fIIPIV\fP .PP .nf !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by ZSPTRF\&. !> .fi .PP .br \fIWORK\fP .PP .nf !> WORK is COMPLEX*16 array, dimension (N) !> .fi .PP .br \fIINFO\fP .PP .nf !> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its !> inverse could not be computed\&. !> .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB108\fP of file \fBzsptri\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.