LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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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.
Download CLA_GBRCOND_X + dependencies [TGZ] [ZIP] [TXT]
CLA_GBRCOND_X Computes the infinity norm condition number of op(A) * diag(X) where X is a COMPLEX vector.
[in] | 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) |
[in] | N | N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0. |
[in] | KL | KL is INTEGER The number of subdiagonals within the band of A. KL >= 0. |
[in] | KU | KU is INTEGER The number of superdiagonals within the band of A. KU >= 0. |
[in] | 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) |
[in] | LDAB | LDAB is INTEGER The leading dimension of the array AB. LDAB >= KL+KU+1. |
[in] | 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. |
[in] | LDAFB | LDAFB is INTEGER The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1. |
[in] | 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). |
[in] | X | X is COMPLEX array, dimension (N) The vector X in the formula op(A) * diag(X). |
[out] | INFO | INFO is INTEGER = 0: Successful exit. i > 0: The ith argument is invalid. |
[out] | WORK | WORK is COMPLEX array, dimension (2*N). Workspace. |
[out] | RWORK | RWORK is REAL array, dimension (N). Workspace. |
Definition at line 151 of file cla_gbrcond_x.f.