cla_gbrcond_x - compute the infinity norm condition number of op(A)*diag(x) for general banded matrices
REAL FUNCTION CLA_GBRCOND_X(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) CHARACTER*1 TRANS INTEGER N, KL, KU, KD, KE, LDAB, LDAFB, INFO INTEGER IPIV(*) COMPLEX AB(LDAB,*), AFB(LDAFB,*), WORK(*), X(*) REAL RWORK(*) REAL FUNCTION CLA_GBRCOND_X_64(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) CHARACTER*1 TRANS INTEGER*8 N, KL, KU, KD, KE, LDAB, LDAFB, INFO INTEGER*8 IPIV(*) COMPLEX AB(LDAB,*), AFB(LDAFB,*), WORK(*), X(*) REAL RWORK(*) F95 INTERFACE REAL FUNCTION LA_GBRCOND_X(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) INTEGER :: N, KL, KU, LDAB, LDAFB, INFO CHARACTER(LEN=1) :: TRANS INTEGER, DIMENSION(:) :: IPIV REAL, DIMENSION(:) :: RWORK COMPLEX, DIMENSION(:) :: X, WORK COMPLEX, DIMENSION(:,:) :: AB, AFB REAL FUNCTION LA_GBRCOND_X_64(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK, RWORK) INTEGER(8) :: N, KL, KU, LDAB, LDAFB, INFO CHARACTER(LEN=1) :: TRANS INTEGER(8), DIMENSION(:) :: IPIV REAL, DIMENSION(:) :: RWORK COMPLEX, DIMENSION(:) :: X, WORK COMPLEX, DIMENSION(:,:) :: AB, AFB C INTERFACE #include <sunperf.h> float cla_gbrcond_x (char trans, int n, int kl, int ku, floatcomplex *ab, int ldab, floatcomplex *afb, int ldafb, int *ipiv, floatcomplex *x, int *info); float cla_gbrcond_x_64 (char trans, long n, long kl, long ku, floatcom- plex *ab, long ldab, floatcomplex *afb, long ldafb, long *ipiv, floatcomplex *x, long *info);
Oracle Solaris Studio Performance Library cla_gbrcond_x(3P)
NAME
cla_gbrcond_x - compute the infinity norm condition number of
op(A)*diag(x) for general banded matrices
SYNOPSIS
REAL FUNCTION CLA_GBRCOND_X(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB,
IPIV, X, INFO, WORK, RWORK)
CHARACTER*1 TRANS
INTEGER N, KL, KU, KD, KE, LDAB, LDAFB, INFO
INTEGER IPIV(*)
COMPLEX AB(LDAB,*), AFB(LDAFB,*), WORK(*), X(*)
REAL RWORK(*)
REAL FUNCTION CLA_GBRCOND_X_64(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB,
IPIV, X, INFO, WORK, RWORK)
CHARACTER*1 TRANS
INTEGER*8 N, KL, KU, KD, KE, LDAB, LDAFB, INFO
INTEGER*8 IPIV(*)
COMPLEX AB(LDAB,*), AFB(LDAFB,*), WORK(*), X(*)
REAL RWORK(*)
F95 INTERFACE
REAL FUNCTION LA_GBRCOND_X(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB,
IPIV, X, INFO, WORK, RWORK)
INTEGER :: N, KL, KU, LDAB, LDAFB, INFO
CHARACTER(LEN=1) :: TRANS
INTEGER, DIMENSION(:) :: IPIV
REAL, DIMENSION(:) :: RWORK
COMPLEX, DIMENSION(:) :: X, WORK
COMPLEX, DIMENSION(:,:) :: AB, AFB
REAL FUNCTION LA_GBRCOND_X_64(TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB,
IPIV, X, INFO, WORK, RWORK)
INTEGER(8) :: N, KL, KU, LDAB, LDAFB, INFO
CHARACTER(LEN=1) :: TRANS
INTEGER(8), DIMENSION(:) :: IPIV
REAL, DIMENSION(:) :: RWORK
COMPLEX, DIMENSION(:) :: X, WORK
COMPLEX, DIMENSION(:,:) :: AB, AFB
C INTERFACE
#include <sunperf.h>
float cla_gbrcond_x (char trans, int n, int kl, int ku, floatcomplex
*ab, int ldab, floatcomplex *afb, int ldafb, int *ipiv,
floatcomplex *x, int *info);
float cla_gbrcond_x_64 (char trans, long n, long kl, long ku, floatcom-
plex *ab, long ldab, floatcomplex *afb, long ldafb, long
*ipiv, floatcomplex *x, long *info);
PURPOSE
cla_gbrcond_x Computes the infinity norm condition number of
op(A)*diag(X), where X is a COMPLEX vector.
ARGUMENTS
TRANS (input)
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 (input)
N is INTEGER
The number of linear equations, i.e., the order of the matrix
A. N >= 0.
KL (input)
KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.
KU (input)
KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.
AB (input)
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 (input)
LDAB is INTEGER
The leading dimension of the array AB. LDAB >= KL+KU+1.
AFB (input)
AFB is COMPLEX array, dimension (LDAFB,N)
Details of the LU factorization of the band matrix A, as com-
puted 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 (input)
LDAFB is INTEGER
The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1.
IPIV (input)
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 (input)
X is COMPLEX array, dimension (N)
The vector X in the formula op(A)*diag(X).
INFO (output)
INFO is INTEGER
= 0: Successful exit.
i > 0: The ith argument is invalid.
WORK (input)
WORK is COMPLEX array, dimension (2*N).
Workspace.
RWORK (input)
RWORK is REAL array, dimension (N).
Workspace.
7 Nov 2015 cla_gbrcond_x(3P)