cla_gercond_x (3p)

Name

cla_gercond_x - compute the infinity norm condition number of op(A)*diag(x) for general matrices

Synopsis

REAL FUNCTION CLA_GERCOND_X(TRANS, N, A, LDA, AF, LDAF, IPIV, X,  INFO,
WORK, RWORK)


CHARACTER*1 TRANS

INTEGER N, LDA, LDAF, INFO

INTEGER IPIV(*)

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

REAL RWORK(*)


REAL  FUNCTION  CLA_GERCOND_X_64(TRANS,  N,  A, LDA, AF, LDAF, IPIV, X,
INFO, WORK, RWORK)


CHARACTER*1 TRANS

INTEGER*8 N, LDA, LDAF, INFO

INTEGER*8 IPIV(*)

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

REAL RWORK(*)


F95 INTERFACE
REAL FUNCTION LA_GERCOND_X(TRANS, N, A, LDA, AF, LDAF, IPIV,  X,  INFO,
WORK, RWORK)


INTEGER :: N, LDA, LDAF, INFO

CHARACTER(LEN=1) :: TRANS

INTEGER, DIMENSION(:) :: IPIV

REAL, DIMENSION(:) :: RWORK

COMPLEX, DIMENSION(:) :: X, WORK

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


REAL  FUNCTION  LA_GERCOND_X_64(TRANS,  N,  A,  LDA, AF, LDAF, IPIV, X,
INFO, WORK, RWORK)


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

CHARACTER(LEN=1) :: TRANS

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

REAL, DIMENSION(:) :: RWORK

COMPLEX, DIMENSION(:) :: X, WORK

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


C INTERFACE
#include <sunperf.h>

float cla_gercond_x (char trans,  int  n,  floatcomplex  *a,  int  lda,
floatcomplex  *af,  int ldaf, int *ipiv, floatcomplex *x, int
*info);

float cla_gercond_x_64 (char trans, long n, floatcomplex *a, long  lda,
floatcomplex *af, long ldaf, long *ipiv, floatcomplex *x, long *info);

Description

Oracle Solaris Studio Performance Library                    cla_gercond_x(3P)



NAME
       cla_gercond_x   -   compute  the  infinity  norm  condition  number  of
       op(A)*diag(x) for general matrices


SYNOPSIS
       REAL FUNCTION CLA_GERCOND_X(TRANS, N, A, LDA, AF, LDAF, IPIV, X,  INFO,
                 WORK, RWORK)


       CHARACTER*1 TRANS

       INTEGER N, LDA, LDAF, INFO

       INTEGER IPIV(*)

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

       REAL RWORK(*)


       REAL  FUNCTION  CLA_GERCOND_X_64(TRANS,  N,  A, LDA, AF, LDAF, IPIV, X,
                 INFO, WORK, RWORK)


       CHARACTER*1 TRANS

       INTEGER*8 N, LDA, LDAF, INFO

       INTEGER*8 IPIV(*)

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

       REAL RWORK(*)


   F95 INTERFACE
       REAL FUNCTION LA_GERCOND_X(TRANS, N, A, LDA, AF, LDAF, IPIV,  X,  INFO,
                 WORK, RWORK)


       INTEGER :: N, LDA, LDAF, INFO

       CHARACTER(LEN=1) :: TRANS

       INTEGER, DIMENSION(:) :: IPIV

       REAL, DIMENSION(:) :: RWORK

       COMPLEX, DIMENSION(:) :: X, WORK

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


       REAL  FUNCTION  LA_GERCOND_X_64(TRANS,  N,  A,  LDA, AF, LDAF, IPIV, X,
                 INFO, WORK, RWORK)


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

       CHARACTER(LEN=1) :: TRANS

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

       REAL, DIMENSION(:) :: RWORK

       COMPLEX, DIMENSION(:) :: X, WORK

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


   C INTERFACE
       #include <sunperf.h>

       float cla_gercond_x (char trans,  int  n,  floatcomplex  *a,  int  lda,
                 floatcomplex  *af,  int ldaf, int *ipiv, floatcomplex *x, int
                 *info);

       float cla_gercond_x_64 (char trans, long n, floatcomplex *a, long  lda,
        floatcomplex *af, long ldaf, long *ipiv, floatcomplex *x, long *info);


PURPOSE
       cla_gercond_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.


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


       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 CGETRF; 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_gercond_x(3P)