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cgetri(3P)		    Sun 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.

				  6 Mar 2009			    cgetri(3P)
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