1. Manuals
  2. Tumbleweed
  3. lapack-man
  4. CLA_GBRCOND_X(3)

Scroll to navigation

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrcond_x.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrcond_x.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cla_gbrcond_x.f

SYNOPSIS

Functions/Subroutines


real function CLA_GBRCOND_X (trans, n, kl, ku, ab, ldab, afb, ldafb, ipiv, x, info, work, rwork)
CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices.

Function/Subroutine Documentation

real function CLA_GBRCOND_X (character trans, integer n, integer kl, integer ku, complex, dimension( ldab, * ) ab, integer ldab, complex, dimension( ldafb, * ) afb, integer ldafb, integer, dimension( * ) ipiv, complex, dimension( * ) x, integer info, complex, dimension( * ) work, real, dimension( * ) rwork)

CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices.

Purpose:

!>
!>    CLA_GBRCOND_X Computes the infinity norm condition number of
!>    op(A) * diag(X) where X is a COMPLEX 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 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 array, dimension (LDAFB,N)
!>     Details of the LU factorization of the band matrix A, as
!>     computed by CGBTRF.  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 CGBTRF; row i of the matrix was interchanged
!>     with row IPIV(i).
!>

X

!>          X is COMPLEX array, dimension (N)
!>     The vector X in the formula op(A) * diag(X).
!>

INFO

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

WORK

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

RWORK

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 151 of file cla_gbrcond_x.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.0 LAPACK