hetri2x#

Functions

void chetri2x(
    const char*          uplo,
    const INT            n,
          c64*  restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c64*  restrict work,
    const INT            nb,
          INT*           info
);
void chetri2x(const char *uplo, const INT n, c64 *restrict A, const INT lda, const INT *restrict ipiv, c64 *restrict work, const INT nb, INT *info)#

CHETRI2X computes the inverse of a complex hermitian indefinite matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by CHETRF.

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**H; = ‘L’: Lower triangular, form is A = L*D*L**H.

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.

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 (n+nb+1, nb+3).

in
nb

Block size.

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 zhetri2x(
    const char*          uplo,
    const INT            n,
          c128* restrict A,
    const INT            lda,
    const INT*  restrict ipiv,
          c128* restrict work,
    const INT            nb,
          INT*           info
);
void zhetri2x(const char *uplo, const INT n, c128 *restrict A, const INT lda, const INT *restrict ipiv, c128 *restrict work, const INT nb, INT *info)#

ZHETRI2X computes the inverse of a complex hermitian indefinite matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF.

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**H; = ‘L’: Lower triangular, form is A = L*D*L**H.

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.

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 (n+nb+1, nb+3).

in
nb

Block size.

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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