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---
:name: cspcon
:md5sum: 2693ebd7b761444b3518da41dddce980
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: complex
:intent: input
:dims:
- n*(n+1)/2
- ipiv:
:type: integer
:intent: input
:dims:
- n
- anorm:
:type: real
:intent: input
- rcond:
:type: real
:intent: output
- work:
:type: complex
:intent: workspace
:dims:
- 2*n
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CSPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CSPCON estimates the reciprocal of the condition number (in the\n\
* 1-norm) of a complex symmetric packed matrix A using the\n\
* factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF.\n\
*\n\
* An estimate is obtained for norm(inv(A)), and the reciprocal of the\n\
* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).\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) COMPLEX array, dimension (N*(N+1)/2)\n\
* The block diagonal matrix D and the multipliers used to\n\
* obtain the factor U or L as computed by CSPTRF, stored as a\n\
* packed triangular matrix.\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* Details of the interchanges and the block structure of D\n\
* as determined by CSPTRF.\n\
*\n\
* ANORM (input) REAL\n\
* The 1-norm of the original matrix A.\n\
*\n\
* RCOND (output) REAL\n\
* The reciprocal of the condition number of the matrix A,\n\
* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an\n\
* estimate of the 1-norm of inv(A) computed in this routine.\n\
*\n\
* WORK (workspace) COMPLEX array, dimension (2*N)\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
*\n\n\
* =====================================================================\n\
*\n"
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