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---
:name: dppcon
:md5sum: 3736fd97dc2539bc118db306bfb573fb
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: doublereal
:intent: input
:dims:
- ldap
- anorm:
:type: doublereal
:intent: input
- rcond:
:type: doublereal
:intent: output
- work:
:type: doublereal
:intent: workspace
:dims:
- 3*n
- iwork:
:type: integer
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions:
n: ((int)sqrtf(ldap*8+1.0f)-1)/2
:fortran_help: " SUBROUTINE DPPCON( UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DPPCON estimates the reciprocal of the condition number (in the\n\
* 1-norm) of a real symmetric positive definite packed matrix using\n\
* the Cholesky factorization A = U**T*U or A = L*L**T computed by\n\
* DPPTRF.\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\
* = 'U': Upper triangle of A is stored;\n\
* = 'L': Lower triangle of A is stored.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)\n\
* The triangular factor U or L from the Cholesky factorization\n\
* A = U**T*U or A = L*L**T, packed columnwise in a linear\n\
* array. The j-th column of U or L is stored in the array AP\n\
* as follows:\n\
* if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;\n\
* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.\n\
*\n\
* ANORM (input) DOUBLE PRECISION\n\
* The 1-norm (or infinity-norm) of the symmetric matrix A.\n\
*\n\
* RCOND (output) DOUBLE PRECISION\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) DOUBLE PRECISION array, dimension (3*N)\n\
*\n\
* IWORK (workspace) INTEGER 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\
*\n\n\
* =====================================================================\n\
*\n"
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