cgetri - compute the inverse of a matrix using the LU factorization computed by CGETRF
SUBROUTINE CGETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO INTEGER IPIVOT(*) SUBROUTINE CGETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) 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, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO INTEGER, DIMENSION(:) :: IPIVOT SUBROUTINE GETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO INTEGER(8), DIMENSION(:) :: IPIVOT C INTERFACE #include <sunperf.h> void cgetri(int n, complex *a, int lda, int *ipivot, int *info); void cgetri_64(long n, complex *a, long lda, long *ipivot, long *info);
Oracle Solaris Studio Performance Library cgetri(3P) NAME cgetri - compute the inverse of a matrix using the LU factorization computed by CGETRF SYNOPSIS SUBROUTINE CGETRI(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, LDWORK, INFO INTEGER IPIVOT(*) SUBROUTINE CGETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) 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, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, LDA, LDWORK, INFO INTEGER, DIMENSION(:) :: IPIVOT SUBROUTINE GETRI_64(N, A, LDA, IPIVOT, WORK, LDWORK, INFO) COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, LDWORK, INFO INTEGER(8), DIMENSION(:) :: IPIVOT C INTERFACE #include <sunperf.h> void cgetri(int n, complex *a, int lda, int *ipivot, int *info); void cgetri_64(long n, complex *a, long lda, long *ipivot, long *info); PURPOSE cgetri computes the inverse of a matrix using the LU factorization com- puted by CGETRF. 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 CGETRF. 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 CGETRF; 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 cgetri(3P)