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SSPTRI(3F)							    SSPTRI(3F)


NAME    [Toc]    [Back]

     SSPTRI - compute the inverse of a real symmetric indefinite matrix	A in
     packed storage using the factorization A =	U*D*U**T or A =	L*D*L**T
     computed by SSPTRF

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SSPTRI(	UPLO, N, AP, IPIV, WORK, INFO )

	 CHARACTER	UPLO

	 INTEGER	INFO, N

	 INTEGER	IPIV( *	)

	 REAL		AP( * ), WORK( * )

PURPOSE    [Toc]    [Back]

     SSPTRI computes the inverse of a real symmetric indefinite	matrix A in
     packed storage using the factorization A =	U*D*U**T or A =	L*D*L**T
     computed by SSPTRF.

ARGUMENTS    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     Specifies whether the details of the factorization	are stored as
	     an	upper or lower triangular matrix.  = 'U':  Upper triangular,
	     form is A = U*D*U**T;
	     = 'L':  Lower triangular, form is A = L*D*L**T.

     N	     (input) INTEGER
	     The order of the matrix A.	 N >= 0.

     AP	     (input/output) REAL array,	dimension (N*(N+1)/2)
	     On	entry, the block diagonal matrix D and the multipliers used to
	     obtain the	factor U or L as computed by SSPTRF, stored as a
	     packed triangular matrix.

	     On	exit, if INFO =	0, the (symmetric) inverse of the original
	     matrix, stored as a packed	triangular matrix. The j-th column of
	     inv(A) is stored in the array AP as follows:  if UPLO = 'U', AP(i
	     + (j-1)*j/2) = inv(A)(i,j)	for 1<=i<=j; if	UPLO = 'L', AP(i +
	     (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

     IPIV    (input) INTEGER array, dimension (N)
	     Details of	the interchanges and the block structure of D as
	     determined	by SSPTRF.

     WORK    (workspace) REAL array, dimension (N)

     INFO    (output) INTEGER
	     = 0: successful exit
	     < 0: if INFO = -i,	the i-th argument had an illegal value



									Page 1






SSPTRI(3F)							    SSPTRI(3F)



	     > 0: if INFO = i, D(i,i) =	0; the matrix is singular and its
	     inverse could not be computed.
SSPTRI(3F)							    SSPTRI(3F)


NAME    [Toc]    [Back]

     SSPTRI - compute the inverse of a real symmetric indefinite matrix	A in
     packed storage using the factorization A =	U*D*U**T or A =	L*D*L**T
     computed by SSPTRF

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SSPTRI(	UPLO, N, AP, IPIV, WORK, INFO )

	 CHARACTER	UPLO

	 INTEGER	INFO, N

	 INTEGER	IPIV( *	)

	 REAL		AP( * ), WORK( * )

PURPOSE    [Toc]    [Back]

     SSPTRI computes the inverse of a real symmetric indefinite	matrix A in
     packed storage using the factorization A =	U*D*U**T or A =	L*D*L**T
     computed by SSPTRF.

ARGUMENTS    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     Specifies whether the details of the factorization	are stored as
	     an	upper or lower triangular matrix.  = 'U':  Upper triangular,
	     form is A = U*D*U**T;
	     = 'L':  Lower triangular, form is A = L*D*L**T.

     N	     (input) INTEGER
	     The order of the matrix A.	 N >= 0.

     AP	     (input/output) REAL array,	dimension (N*(N+1)/2)
	     On	entry, the block diagonal matrix D and the multipliers used to
	     obtain the	factor U or L as computed by SSPTRF, stored as a
	     packed triangular matrix.

	     On	exit, if INFO =	0, the (symmetric) inverse of the original
	     matrix, stored as a packed	triangular matrix. The j-th column of
	     inv(A) is stored in the array AP as follows:  if UPLO = 'U', AP(i
	     + (j-1)*j/2) = inv(A)(i,j)	for 1<=i<=j; if	UPLO = 'L', AP(i +
	     (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

     IPIV    (input) INTEGER array, dimension (N)
	     Details of	the interchanges and the block structure of D as
	     determined	by SSPTRF.

     WORK    (workspace) REAL array, dimension (N)

     INFO    (output) INTEGER
	     = 0: successful exit
	     < 0: if INFO = -i,	the i-th argument had an illegal value



									Page 1






SSPTRI(3F)							    SSPTRI(3F)



	     > 0: if INFO = i, D(i,i) =	0; the matrix is singular and its
	     inverse could not be computed.


									PPPPaaaaggggeeee 2222
[ Back ]
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