sytri2#

Functions

void ssytri2(
    const char*          uplo,
    const INT            n,
          f32*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          f32*  restrict work,
    const INT            lwork,
          INT*           info
);
void ssytri2(const char *uplo, const INT n, f32 *restrict A, const INT lda, const INT *restrict ipiv, f32 *restrict work, const INT lwork, INT *info)#

SSYTRI2 computes the inverse of a DOUBLE PRECISION symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by SSYTRF.

SSYTRI2 sets the LEADING DIMENSION of the workspace before calling SSYTRI2X that actually computes the inverse.

Parameters

in
uplo

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.

in
n

The order of the matrix A. n >= 0.

inout
A

Double precision array, dimension (lda, n). On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSYTRF. On exit, if info = 0, the (symmetric) inverse of the original matrix.

in
lda

The leading dimension of the array A. lda >= max(1,n).

in
ipiv

Integer array, dimension (n). Details of the interchanges and the block structure of D as determined by SSYTRF.

out
work

Double precision array, dimension (max(1, lwork)).

in
lwork

The dimension of the array work. If n = 0, lwork >= 1, else lwork >= (n+nb+1)*(nb+3). If lwork = -1, then a workspace query is assumed.

out
info

  • = 0: successful exit

  • < 0: if info = -i, the i-th argument had an illegal value

  • > 0: if info = i, D(i,i) = 0; the matrix is singular.

Functions

void dsytri2(
    const char*          uplo,
    const INT            n,
          f64*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          f64*  restrict work,
    const INT            lwork,
          INT*           info
);
void dsytri2(const char *uplo, const INT n, f64 *restrict A, const INT lda, const INT *restrict ipiv, f64 *restrict work, const INT lwork, INT *info)#

DSYTRI2 computes the inverse of a DOUBLE PRECISION symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF.

DSYTRI2 sets the LEADING DIMENSION of the workspace before calling DSYTRI2X that actually computes the inverse.

Parameters

in
uplo

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.

in
n

The order of the matrix A. n >= 0.

inout
A

Double precision array, dimension (lda, n). On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSYTRF. On exit, if info = 0, the (symmetric) inverse of the original matrix.

in
lda

The leading dimension of the array A. lda >= max(1,n).

in
ipiv

Integer array, dimension (n). Details of the interchanges and the block structure of D as determined by DSYTRF.

out
work

Double precision array, dimension (max(1, lwork)).

in
lwork

The dimension of the array work. If n = 0, lwork >= 1, else lwork >= (n+nb+1)*(nb+3). If lwork = -1, then a workspace query is assumed.

out
info

  • = 0: successful exit

  • < 0: if info = -i, the i-th argument had an illegal value

  • > 0: if info = i, D(i,i) = 0; the matrix is singular.

Functions

void csytri2(
    const char*          uplo,
    const INT            n,
          c64*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c64*  restrict work,
    const INT            lwork,
          INT*           info
);
void csytri2(const char *uplo, const INT n, c64 *restrict A, const INT lda, const INT *restrict ipiv, c64 *restrict work, const INT lwork, INT *info)#

CSYTRI2 computes the inverse of a COMPLEX*16 symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF.

CSYTRI2 sets the LEADING DIMENSION of the workspace before calling CSYTRI2X that actually computes the inverse.

Parameters

in
uplo

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.

in
n

The order of the matrix A. n >= 0.

inout
A

Single complex array, dimension (lda, n). On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF. On exit, if info = 0, the (symmetric) inverse of the original matrix.

in
lda

The leading dimension of the array A. lda >= max(1,n).

in
ipiv

Integer array, dimension (n). Details of the interchanges and the block structure of D as determined by CSYTRF.

out
work

Single complex array, dimension (max(1, lwork)).

in
lwork

The dimension of the array work. If n = 0, lwork >= 1, else lwork >= (n+nb+1)*(nb+3). If lwork = -1, then a workspace query is assumed.

out
info

  • = 0: successful exit

  • < 0: if info = -i, the i-th argument had an illegal value

  • > 0: if info = i, D(i,i) = 0; the matrix is singular.

Functions

void zsytri2(
    const char*          uplo,
    const INT            n,
          c128* restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c128* restrict work,
    const INT            lwork,
          INT*           info
);
void zsytri2(const char *uplo, const INT n, c128 *restrict A, const INT lda, const INT *restrict ipiv, c128 *restrict work, const INT lwork, INT *info)#

ZSYTRI2 computes the inverse of a COMPLEX*16 symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF.

ZSYTRI2 sets the LEADING DIMENSION of the workspace before calling ZSYTRI2X that actually computes the inverse.

Parameters

in
uplo

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.

in
n

The order of the matrix A. n >= 0.

inout
A

Double complex array, dimension (lda, n). On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZSYTRF. On exit, if info = 0, the (symmetric) inverse of the original matrix.

in
lda

The leading dimension of the array A. lda >= max(1,n).

in
ipiv

Integer array, dimension (n). Details of the interchanges and the block structure of D as determined by ZSYTRF.

out
work

Double complex array, dimension (max(1, lwork)).

in
lwork

The dimension of the array work. If n = 0, lwork >= 1, else lwork >= (n+nb+1)*(nb+3). If lwork = -1, then a workspace query is assumed.

out
info

  • = 0: successful exit

  • < 0: if info = -i, the i-th argument had an illegal value

  • > 0: if info = i, D(i,i) = 0; the matrix is singular.