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

  • '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

Array of 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. 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

Array of dimension n. Details of the interchanges and the block structure of D as determined by ssytrf.

out
work

Array of 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; the routine 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 lwork is issued.

out
info

  • info=0: successful exit

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

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

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

  • '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

Array of 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. 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

Array of dimension n. Details of the interchanges and the block structure of D as determined by dsytrf.

out
work

Array of 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; the routine 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 lwork is issued.

out
info

  • info=0: successful exit

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

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

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

  • '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

Complex array of 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. 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

Array of dimension n. Details of the interchanges and the block structure of D as determined by csytrf.

out
work

Complex array of 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; the routine 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 lwork is issued.

out
info

  • info=0: successful exit

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

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

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

  • '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

Complex array of 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. 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

Array of dimension n. Details of the interchanges and the block structure of D as determined by zsytrf.

out
work

Complex array of 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; the routine 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 lwork is issued.

out
info

  • info=0: successful exit

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

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