zgetri - compute the inverse of a matrix using the LU factorization computed by ZGETRF
SUBROUTINE ZGETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO INTEGER IPIVOT(*) SUBROUTINE ZGETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, LDWORK, INFO INTEGER*8 IPIVOT(*) F95 INTERFACE SUBROUTINE GETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO INTEGER, DIMENSION(:) :: IPIVOT SUBROUTINE GETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO INTEGER(8), DIMENSION(:) :: IPIVOT C INTERFACE #include <sunperf.h> void zgetri(int n, doublecomplex *a, int lda, int *ipivot, int *info); void zgetri_64(long n, doublecomplex *a, long lda, long *ipivot, long *info);
Oracle Solaris Studio Performance Library zgetri(3P) NAME zgetri - compute the inverse of a matrix using the LU factorization computed by ZGETRF SYNOPSIS SUBROUTINE ZGETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO INTEGER IPIVOT(*) SUBROUTINE ZGETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, LDWORK, INFO INTEGER*8 IPIVOT(*) F95 INTERFACE SUBROUTINE GETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO INTEGER, DIMENSION(:) :: IPIVOT SUBROUTINE GETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO INTEGER(8), DIMENSION(:) :: IPIVOT C INTERFACE #include <sunperf.h> void zgetri(int n, doublecomplex *a, int lda, int *ipivot, int *info); void zgetri_64(long n, doublecomplex *a, long lda, long *ipivot, long *info); PURPOSE zgetri computes the inverse of a matrix using the LU factorization com- puted by ZGETRF. This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A). ARGUMENTS N (input) The order of the matrix A. N >= 0. A (input/output) On entry, the factors L and U from the factorization A = P*L*U as computed by ZGETRF. On exit, if INFO = 0, the inverse of the original matrix A. LDA (input) The leading dimension of the array A. LDA >= max(1,N). IPIVOT (input) The pivot indices from ZGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIVOT(i). WORK (workspace) On exit, if INFO=0, then WORK(1) returns the optimal LDWORK. LDWORK (input) The dimension of the array WORK. LDWORK >= max(1,N). For optimal performance LDWORK >= N*NB, where NB is the optimal blocksize returned by ILAENV. If LDWORK = -1, then a workspace query is assumed; the rou- tine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LDWORK is issued by XERBLA. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is sin- gular and its inverse could not be computed. 7 Nov 2015 zgetri(3P)