DOUBLE PRECISION function zla_gbrcond_x (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK)
DOUBLE PRECISION function zla_gbrcond_x (characterTRANS, integerN, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, complex*16, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension( * )IPIV, complex*16, dimension( * )X, integerINFO, complex*16, dimension( * )WORK, double precision, dimension( * )RWORK)ZLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices. Purpose:
ZLA_GBRCOND_X Computes the infinity norm condition number of op(A) * diag(X) where X is a COMPLEX*16 vector.
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).X
X is COMPLEX*16 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*16 array, dimension (2*N). Workspace.RWORK
RWORK is DOUBLE PRECISION array, dimension (N). Workspace.
Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd.Date:
September 2012Definition at line 154 of file zla_gbrcond_x.f.