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---
:name: zsptri
:md5sum: 67e0485ac6f1e73b1946a7a103fd21e5
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: doublecomplex
:intent: input/output
:dims:
- n*(n+1)/2
- ipiv:
:type: integer
:intent: input
:dims:
- n
- work:
:type: doublecomplex
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE ZSPTRI( UPLO, N, AP, IPIV, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* ZSPTRI computes the inverse of a complex symmetric indefinite matrix\n\
* A in packed storage using the factorization A = U*D*U**T or\n\
* A = L*D*L**T computed by ZSPTRF.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* Specifies whether the details of the factorization are stored\n\
* as an upper or lower triangular matrix.\n\
* = 'U': Upper triangular, form is A = U*D*U**T;\n\
* = 'L': Lower triangular, form is A = L*D*L**T.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)\n\
* On entry, the block diagonal matrix D and the multipliers\n\
* used to obtain the factor U or L as computed by ZSPTRF,\n\
* stored as a packed triangular matrix.\n\
*\n\
* On exit, if INFO = 0, the (symmetric) inverse of the original\n\
* matrix, stored as a packed triangular matrix. The j-th column\n\
* of inv(A) is stored in the array AP as follows:\n\
* if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j;\n\
* if UPLO = 'L',\n\
* AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* Details of the interchanges and the block structure of D\n\
* as determined by ZSPTRF.\n\
*\n\
* WORK (workspace) COMPLEX*16 array, dimension (N)\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
* > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its\n\
* inverse could not be computed.\n\
*\n\n\
* =====================================================================\n\
*\n"
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