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---
:name: sgecon
:md5sum: 946a6d0eb733c9d751e18bcd9e264365
:category: :subroutine
:arguments:
- norm:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: real
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- anorm:
:type: real
:intent: input
- rcond:
:type: real
:intent: output
- work:
:type: real
:intent: workspace
:dims:
- 4*n
- iwork:
:type: integer
:intent: workspace
:dims:
- n
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE SGECON( NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SGECON estimates the reciprocal of the condition number of a general\n\
* real matrix A, in either the 1-norm or the infinity-norm, using\n\
* the LU factorization computed by SGETRF.\n\
*\n\
* An estimate is obtained for norm(inv(A)), and the reciprocal of the\n\
* condition number is 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\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* A (input) REAL array, dimension (LDA,N)\n\
* The factors L and U from the factorization A = P*L*U\n\
* as computed by SGETRF.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* ANORM (input) REAL\n\
* If NORM = '1' or 'O', the 1-norm of the original matrix A.\n\
* If NORM = 'I', the infinity-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/(norm(A) * norm(inv(A))).\n\
*\n\
* WORK (workspace) REAL array, dimension (4*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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