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---
:name: ztpcon
:md5sum: 900599a9d663838136fafdce8c072da9
:category: :subroutine
:arguments:
- norm:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- diag:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: doublecomplex
:intent: input
:dims:
- ldap
- rcond:
:type: doublereal
:intent: output
- work:
:type: doublecomplex
:intent: workspace
:dims:
- 2*n
- rwork:
:type: doublereal
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions:
n: ((int)sqrtf(ldap*8+1.0f)-1)/2
:fortran_help: " SUBROUTINE ZTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* ZTPCON estimates the reciprocal of the condition number of a packed\n\
* triangular matrix A, in either the 1-norm or the infinity-norm.\n\
*\n\
* The norm of A is computed and an estimate is obtained for\n\
* norm(inv(A)), then the reciprocal of the condition number is\n\
* computed as\n\
* RCOND = 1 / ( norm(A) * norm(inv(A)) ).\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* NORM (input) CHARACTER*1\n\
* Specifies whether the 1-norm condition number or the\n\
* infinity-norm condition number is required:\n\
* = '1' or 'O': 1-norm;\n\
* = 'I': Infinity-norm.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': A is upper triangular;\n\
* = 'L': A is lower triangular.\n\
*\n\
* DIAG (input) CHARACTER*1\n\
* = 'N': A is non-unit triangular;\n\
* = 'U': A is unit triangular.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)\n\
* The upper or lower triangular matrix A, packed columnwise in\n\
* a linear array. The j-th column of A is stored in the array\n\
* AP as follows:\n\
* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;\n\
* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.\n\
* If DIAG = 'U', the diagonal elements of A are not referenced\n\
* and are assumed to be 1.\n\
*\n\
* RCOND (output) DOUBLE PRECISION\n\
* The reciprocal of the condition number of the matrix A,\n\
* computed as RCOND = 1/(norm(A) * norm(inv(A))).\n\
*\n\
* WORK (workspace) COMPLEX*16 array, dimension (2*N)\n\
*\n\
* RWORK (workspace) DOUBLE PRECISION 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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