hetri2#

Functions

void chetri2(
    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 chetri2(const char *uplo, const INT n, c64 *restrict A, const INT lda, const INT *restrict ipiv, c64 *restrict work, const INT lwork, INT *info)#

CHETRI2 computes the inverse of a COMPLEX*16 hermitian indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CHETRF.

CHETRI2 sets the LEADING DIMENSION of the workspace before calling CHETRI2X 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 CHETRF. On exit, if info = 0, the (symmetric) inverse of the original matrix. If uplo = ‘U’, the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if uplo = ‘L’ the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.

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 CHETRF.

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 zhetri2(
    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 zhetri2(const char *uplo, const INT n, c128 *restrict A, const INT lda, const INT *restrict ipiv, c128 *restrict work, const INT lwork, INT *info)#

ZHETRI2 computes the inverse of a COMPLEX*16 hermitian indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZHETRF.

ZHETRI2 sets the LEADING DIMENSION of the workspace before calling ZHETRI2X 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 ZHETRF. On exit, if info = 0, the (symmetric) inverse of the original matrix. If uplo = ‘U’, the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if uplo = ‘L’ the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.

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 ZHETRF.

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.

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