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---
:name: sla_syrcond
:md5sum: 5eaaae108449bbac6d01191c8809734f
:category: :function
:type: real
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: real
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- af:
:type: real
:intent: input
:dims:
- ldaf
- n
- ldaf:
:type: integer
:intent: input
- ipiv:
:type: integer
:intent: input
:dims:
- n
- cmode:
:type: integer
:intent: input
- c:
:type: real
:intent: input
:dims:
- n
- info:
:type: integer
:intent: output
- work:
:type: real
:intent: input
:dims:
- 3*n
- iwork:
:type: integer
:intent: input
:dims:
- n
:substitutions: {}
:fortran_help: " REAL FUNCTION SLA_SYRCOND( UPLO, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SLA_SYRCOND estimates the Skeel condition number of op(A) * op2(C)\n\
* where op2 is determined by CMODE as follows\n\
* CMODE = 1 op2(C) = C\n\
* CMODE = 0 op2(C) = I\n\
* CMODE = -1 op2(C) = inv(C)\n\
* The Skeel condition number cond(A) = norminf( |inv(A)||A| )\n\
* is computed by computing scaling factors R such that\n\
* diag(R)*A*op2(C) is row equilibrated and computing the standard\n\
* infinity-norm condition number.\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 number of linear equations, i.e., the order of the\n\
* matrix A. N >= 0.\n\
*\n\
* A (input) REAL array, dimension (LDA,N)\n\
* On entry, the N-by-N matrix A.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* AF (input) REAL array, dimension (LDAF,N)\n\
* The block diagonal matrix D and the multipliers used to\n\
* obtain the factor U or L as computed by SSYTRF.\n\
*\n\
* LDAF (input) INTEGER\n\
* The leading dimension of the array AF. LDAF >= max(1,N).\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* Details of the interchanges and the block structure of D\n\
* as determined by SSYTRF.\n\
*\n\
* CMODE (input) INTEGER\n\
* Determines op2(C) in the formula op(A) * op2(C) as follows:\n\
* CMODE = 1 op2(C) = C\n\
* CMODE = 0 op2(C) = I\n\
* CMODE = -1 op2(C) = inv(C)\n\
*\n\
* C (input) REAL array, dimension (N)\n\
* The vector C in the formula op(A) * op2(C).\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: Successful exit.\n\
* i > 0: The ith argument is invalid.\n\
*\n\
* WORK (input) REAL array, dimension (3*N).\n\
* Workspace.\n\
*\n\
* IWORK (input) INTEGER array, dimension (N).\n\
* Workspace.\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n CHARACTER NORMIN\n INTEGER KASE, I, J\n REAL AINVNM, SMLNUM, TMP\n LOGICAL UP\n\
* ..\n\
* .. Local Arrays ..\n INTEGER ISAVE( 3 )\n\
* ..\n\
* .. External Functions ..\n LOGICAL LSAME\n INTEGER ISAMAX\n REAL SLAMCH\n EXTERNAL LSAME, ISAMAX, SLAMCH\n\
* ..\n\
* .. External Subroutines ..\n EXTERNAL SLACN2, SLATRS, SRSCL, XERBLA, SSYTRS\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC ABS, MAX\n\
* ..\n"
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