zla_gercond_c (3p)

Name

zla_gercond_c - compute the infinity norm condition number of op(A)*inv(diag(c)) for general matrices

Synopsis

DOUBLE PRECISION FUNCTION ZLA_GERCOND_C(TRANS, N, A,  LDA,  AF,   LDAF,
IPIV, C, CAPPLY, INFO, WORK, RWORK)


CHARACTER*1 TRANS

LOGICAL CAPPLY

INTEGER N, LDA, LDAF, INFO

INTEGER IPIV(*)

DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*)

DOUBLE PRECISION C(*), RWORK(*)


DOUBLE PRECISION ZLA_GERCOND_C_64(TRANS, N, A, LDA, AF,  LDAF, IPIV, C,
CAPPLY, INFO, WORK, RWORK)


CHARACTER*1 TRANS

LOGICAL CAPPLY

INTEGER*8 N, LDA, LDAF, INFO

INTEGER*8 IPIV(*)

DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*)

DOUBLE PRECISION C(*), RWORK(*)


F95 INTERFACE
REAL(8) FUNCTION LA_GERCOND_C(TRANS, N, A, LDA,  AF,   LDAF,  IPIV,  C,
CAPPLY, INFO, WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: TRANS

INTEGER, DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:) :: WORK

REAL(8), DIMENSION(:) :: C, RWORK

COMPLEX(8), DIMENSION(:,:) :: A, AF


REAL(8) FUNCTION  LA_GERCOND_C_64(TRANS, N, A, LDA, AF,  LDAF, IPIV, C,
CAPPLY, INFO, WORK, RWORK)


INTEGER(8) :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: TRANS

INTEGER(8), DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:) :: WORK

REAL(8), DIMENSION(:) :: C, RWORK

COMPLEX(8), DIMENSION(:,:) :: A, AF


C INTERFACE
#include <sunperf.h>

double zla_gercond_c (char trans, int n,  doublecomplex  *a,  int  lda,
doublecomplex  *af,  int ldaf, int *ipiv, double *c, int cap-
ply, int *info);

double zla_gercond_c_64 (char trans, long  n,  doublecomplex  *a,  long
lda,  doublecomplex  *af,  long  ldaf, long *ipiv, double *c,
long capply, long *info);

Description

Oracle Solaris Studio Performance Library                    zla_gercond_c(3P)



NAME
       zla_gercond_c   -   compute  the  infinity  norm  condition  number  of
       op(A)*inv(diag(c)) for general matrices


SYNOPSIS
       DOUBLE PRECISION FUNCTION ZLA_GERCOND_C(TRANS, N, A,  LDA,  AF,   LDAF,
                 IPIV, C, CAPPLY, INFO, WORK, RWORK)


       CHARACTER*1 TRANS

       LOGICAL CAPPLY

       INTEGER N, LDA, LDAF, INFO

       INTEGER IPIV(*)

       DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*)

       DOUBLE PRECISION C(*), RWORK(*)


       DOUBLE PRECISION ZLA_GERCOND_C_64(TRANS, N, A, LDA, AF,  LDAF, IPIV, C,
                 CAPPLY, INFO, WORK, RWORK)


       CHARACTER*1 TRANS

       LOGICAL CAPPLY

       INTEGER*8 N, LDA, LDAF, INFO

       INTEGER*8 IPIV(*)

       DOUBLE COMPLEX A(LDA,*), AF(LDAF,*), WORK(*)

       DOUBLE PRECISION C(*), RWORK(*)


   F95 INTERFACE
       REAL(8) FUNCTION LA_GERCOND_C(TRANS, N, A, LDA,  AF,   LDAF,  IPIV,  C,
                 CAPPLY, INFO, WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: TRANS

       INTEGER, DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:) :: WORK

       REAL(8), DIMENSION(:) :: C, RWORK

       COMPLEX(8), DIMENSION(:,:) :: A, AF


       REAL(8) FUNCTION  LA_GERCOND_C_64(TRANS, N, A, LDA, AF,  LDAF, IPIV, C,
                 CAPPLY, INFO, WORK, RWORK)


       INTEGER(8) :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: TRANS

       INTEGER(8), DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:) :: WORK

       REAL(8), DIMENSION(:) :: C, RWORK

       COMPLEX(8), DIMENSION(:,:) :: A, AF


   C INTERFACE
       #include <sunperf.h>

       double zla_gercond_c (char trans, int n,  doublecomplex  *a,  int  lda,
                 doublecomplex  *af,  int ldaf, int *ipiv, double *c, int cap-
                 ply, int *info);

       double zla_gercond_c_64 (char trans, long  n,  doublecomplex  *a,  long
                 lda,  doublecomplex  *af,  long  ldaf, long *ipiv, double *c,
                 long capply, long *info);



PURPOSE
       zla_gercond_c computes the infinity norm condition number  of  op(A)  *
       inv(diag(C)) where C is a DOUBLE PRECISION 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.


       A (input)
                 A is COMPLEX*16 array, dimension (LDA,N)
                 On entry, the N-by-N matrix A


       LDA (input)
                 LDA is INTEGER
                 The leading dimension of the array A. LDA >= max(1,N).


       AF (input)
                 AF is COMPLEX*16 array, dimension (LDAF,N)
                 The factors L and U from the factorization  A=P*L*U  as  com-
                 puted by ZGETRF.


       LDAF (input)
                 LDAF is INTEGER
                 The leading dimension of the array AF. LDAF >= max(1,N).


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


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


       CAPPLY (input)
                 CAPPLY is LOGICAL
                 If .TRUE. then access the vector C in the formula above.


       INFO (output)
                 INFO is INTEGER
                 = 0:  Successful exit.
                 i > 0:  The ith argument is invalid.


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


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




                                  7 Nov 2015                 zla_gercond_c(3P)