pptri#

spptri

Functions

void spptri(
    const char*          uplo,
    const INT            n,
          f32*  restrict AP,
          INT*           info
);

void spptri(const char *uplo, const INT n, f32 *restrict AP, INT *info)#

SPPTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPPTRF.

Parameters

in

uplo

= ‘U’: Upper triangular factor is stored in AP; = ‘L’: Lower triangular factor is stored in AP.

in

n

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

inout

AP

On entry, the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, packed columnwise as a linear array. On exit, the upper or lower triangle of the (symmetric) inverse of A, overwriting the input factor U or L. Array of dimension (n*(n+1)/2).

out

info

= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
> 0: if info = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.

dpptri

Functions

void dpptri(
    const char*          uplo,
    const INT            n,
          f64*  restrict AP,
          INT*           info
);

void dpptri(const char *uplo, const INT n, f64 *restrict AP, INT *info)#

DPPTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPPTRF.

Parameters

in

uplo

= ‘U’: Upper triangular factor is stored in AP; = ‘L’: Lower triangular factor is stored in AP.

in

n

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

inout

AP

On entry, the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, packed columnwise as a linear array. On exit, the upper or lower triangle of the (symmetric) inverse of A, overwriting the input factor U or L. Array of dimension (n*(n+1)/2).

out

info

= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
> 0: if info = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.

cpptri

Functions

void cpptri(
    const char*          uplo,
    const INT            n,
          c64*  restrict AP,
          INT*           info
);

void cpptri(const char *uplo, const INT n, c64 *restrict AP, INT *info)#

CPPTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPPTRF.

Parameters

in

uplo

= ‘U’: Upper triangular factor is stored in AP; = ‘L’: Lower triangular factor is stored in AP.

in

n

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

inout

AP

On entry, the triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, packed columnwise as a linear array. On exit, the upper or lower triangle of the (Hermitian) inverse of A, overwriting the input factor U or L. Array of dimension (n*(n+1)/2).

out

info

= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
> 0: if info = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.

zpptri

Functions

void zpptri(
    const char*          uplo,
    const INT            n,
          c128* restrict AP,
          INT*           info
);

void zpptri(const char *uplo, const INT n, c128 *restrict AP, INT *info)#

ZPPTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF.

Parameters

in

uplo

= ‘U’: Upper triangular factor is stored in AP; = ‘L’: Lower triangular factor is stored in AP.

in

n

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

inout

AP

On entry, the triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, packed columnwise as a linear array. On exit, the upper or lower triangle of the (Hermitian) inverse of A, overwriting the input factor U or L. Array of dimension (n*(n+1)/2).

out

info

= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
> 0: if info = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.

pptri#

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