zppcon - estimate the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed matrix using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF
SUBROUTINE ZPPCON(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER N, INFO DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZPPCON_64(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER*8 N, INFO DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE PPCON(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER :: N, INFO REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE PPCON_64(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void zppcon(char uplo, int n, doublecomplex *a, double anorm, double *rcond, int *info); void zppcon_64(char uplo, long n, doublecomplex *a, double anorm, dou- ble *rcond, long *info);
Oracle Solaris Studio Performance Library zppcon(3P) NAME zppcon - estimate the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed matrix using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF SYNOPSIS SUBROUTINE ZPPCON(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER N, INFO DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZPPCON_64(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER*8 N, INFO DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE PPCON(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER :: N, INFO REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE PPCON_64(UPLO, N, A, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void zppcon(char uplo, int n, doublecomplex *a, double anorm, double *rcond, int *info); void zppcon_64(char uplo, long n, doublecomplex *a, double anorm, dou- ble *rcond, long *info); PURPOSE zppcon estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed matrix using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF. An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). ARGUMENTS UPLO (input) = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. N (input) The order of the matrix A. N >= 0. A (input) COMPLEX*16 array, dimension (N*(N+1)/2) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, packed columnwise in a linear array. The j-th column of U or L is stored in the array A as follows: if UPLO = 'U', A(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; if UPLO = 'L', A(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. ANORM (input) The 1-norm (or infinity-norm) of the Hermitian matrix A. RCOND (output) The reciprocal of the condition number of the matrix A, com- puted as RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti- mate of the 1-norm of inv(A) computed in this routine. WORK (workspace) COMPLEX*16 array, dimension(2*N) WORK2 (workspace) DOUBLE PRECISION array, dimension(N) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 zppcon(3P)