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---
:name: ctrcon
:md5sum: f981f46545d070fd6eaeba4cc354de5f
:category: :subroutine
:arguments:
- norm:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- diag:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: complex
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- rcond:
:type: real
:intent: output
- work:
:type: complex
:intent: workspace
:dims:
- 2*n
- rwork:
:type: real
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CTRCON( NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CTRCON estimates the reciprocal of the condition number of a\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\
* A (input) COMPLEX array, dimension (LDA,N)\n\
* The triangular matrix A. If UPLO = 'U', the leading N-by-N\n\
* upper triangular part of the array A contains the upper\n\
* triangular matrix, and the strictly lower triangular part of\n\
* A is not referenced. If UPLO = 'L', the leading N-by-N lower\n\
* triangular part of the array A contains the lower triangular\n\
* matrix, and the strictly upper triangular part of A is not\n\
* referenced. If DIAG = 'U', the diagonal elements of A are\n\
* also not referenced and are assumed to be 1.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* RCOND (output) REAL\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 array, dimension (2*N)\n\
*\n\
* RWORK (workspace) REAL 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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