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---
:name: dla_gbrcond
:md5sum: 166b58ae6ab01504cac311045c0152cb
:category: :function
:type: doublereal
:arguments:
- trans:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- kl:
:type: integer
:intent: input
- ku:
:type: integer
:intent: input
- ab:
:type: doublereal
:intent: input
:dims:
- ldab
- n
- ldab:
:type: integer
:intent: input
- afb:
:type: doublereal
:intent: input
:dims:
- ldafb
- n
- ldafb:
:type: integer
:intent: input
- ipiv:
:type: integer
:intent: input
:dims:
- n
- cmode:
:type: integer
:intent: input
- c:
:type: doublereal
:intent: input
:dims:
- n
- info:
:type: integer
:intent: output
- work:
:type: doublereal
:intent: input
:dims:
- 5*n
- iwork:
:type: integer
:intent: input
:dims:
- n
:substitutions: {}
:fortran_help: " DOUBLE PRECISION FUNCTION DLA_GBRCOND( TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, CMODE, C, INFO, WORK, IWORK )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DLA_GBRCOND 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\
* TRANS (input) CHARACTER*1\n\
* Specifies the form of the system of equations:\n\
* = 'N': A * X = B (No transpose)\n\
* = 'T': A**T * X = B (Transpose)\n\
* = 'C': A**H * X = B (Conjugate Transpose = Transpose)\n\
*\n\
* N (input) INTEGER\n\
* The number of linear equations, i.e., the order of the\n\
* matrix A. N >= 0.\n\
*\n\
* KL (input) INTEGER\n\
* The number of subdiagonals within the band of A. KL >= 0.\n\
*\n\
* KU (input) INTEGER\n\
* The number of superdiagonals within the band of A. KU >= 0.\n\
*\n\
* AB (input) DOUBLE PRECISION array, dimension (LDAB,N)\n\
* On entry, the matrix A in band storage, in rows 1 to KL+KU+1.\n\
* The j-th column of A is stored in the j-th column of the\n\
* array AB as follows:\n\
* AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)\n\
*\n\
* LDAB (input) INTEGER\n\
* The leading dimension of the array AB. LDAB >= KL+KU+1.\n\
*\n\
* AFB (input) DOUBLE PRECISION array, dimension (LDAFB,N)\n\
* Details of the LU factorization of the band matrix A, as\n\
* computed by DGBTRF. U is stored as an upper triangular\n\
* band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1,\n\
* and the multipliers used during the factorization are stored\n\
* in rows KL+KU+2 to 2*KL+KU+1.\n\
*\n\
* LDAFB (input) INTEGER\n\
* The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1.\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* The pivot indices from the factorization A = P*L*U\n\
* as computed by DGBTRF; row i of the matrix was interchanged\n\
* with row IPIV(i).\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) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension (5*N).\n\
* Workspace.\n\
*\n\
* IWORK (input) INTEGER array, dimension (N).\n\
* Workspace.\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n LOGICAL NOTRANS\n INTEGER KASE, I, J, KD, KE\n DOUBLE PRECISION AINVNM, TMP\n\
* ..\n\
* .. Local Arrays ..\n INTEGER ISAVE( 3 )\n\
* ..\n\
* .. External Functions ..\n LOGICAL LSAME\n EXTERNAL LSAME\n\
* ..\n\
* .. External Subroutines ..\n EXTERNAL DLACN2, DGBTRS, XERBLA\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC ABS, MAX\n\
* ..\n"
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