SRC/zla_gbrcond_c.f(3) Library Functions Manual SRC/zla_gbrcond_c.f(3)

SRC/zla_gbrcond_c.f


double precision function zla_gbrcond_c (trans, n, kl, ku, ab, ldab, afb, ldafb, ipiv, c, capply, info, work, rwork)
ZLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded matrices.

ZLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded matrices.

Purpose:

!>
!>    ZLA_GBRCOND_C Computes the infinity norm condition number of
!>    op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector.
!> 

Parameters

TRANS
!>          TRANS is CHARACTER*1
!>     Specifies the form of the system of equations:
!>       = 'N':  A * X = B     (No transpose)
!>       = 'T':  A**T * X = B  (Transpose)
!>       = 'C':  A**H * X = B  (Conjugate Transpose = Transpose)
!> 

N

!>          N is INTEGER
!>     The number of linear equations, i.e., the order of the
!>     matrix A.  N >= 0.
!> 

KL

!>          KL is INTEGER
!>     The number of subdiagonals within the band of A.  KL >= 0.
!> 

KU

!>          KU is INTEGER
!>     The number of superdiagonals within the band of A.  KU >= 0.
!> 

AB

!>          AB is COMPLEX*16 array, dimension (LDAB,N)
!>     On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
!>     The j-th column of A is stored in the j-th column of the
!>     array AB as follows:
!>     AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)
!> 

LDAB

!>          LDAB is INTEGER
!>     The leading dimension of the array AB.  LDAB >= KL+KU+1.
!> 

AFB

!>          AFB is COMPLEX*16 array, dimension (LDAFB,N)
!>     Details of the LU factorization of the band matrix A, as
!>     computed by ZGBTRF.  U is stored as an upper triangular
!>     band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1,
!>     and the multipliers used during the factorization are stored
!>     in rows KL+KU+2 to 2*KL+KU+1.
!> 

LDAFB

!>          LDAFB is INTEGER
!>     The leading dimension of the array AFB.  LDAFB >= 2*KL+KU+1.
!> 

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>     The pivot indices from the factorization A = P*L*U
!>     as computed by ZGBTRF; row i of the matrix was interchanged
!>     with row IPIV(i).
!> 

C

!>          C is DOUBLE PRECISION array, dimension (N)
!>     The vector C in the formula op(A) * inv(diag(C)).
!> 

CAPPLY

!>          CAPPLY is LOGICAL
!>     If .TRUE. then access the vector C in the formula above.
!> 

INFO

!>          INFO is INTEGER
!>       = 0:  Successful exit.
!>     i > 0:  The ith argument is invalid.
!> 

WORK

!>          WORK is COMPLEX*16 array, dimension (2*N).
!>     Workspace.
!> 

RWORK

!>          RWORK is DOUBLE PRECISION array, dimension (N).
!>     Workspace.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 159 of file zla_gbrcond_c.f.

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