laqsy#

Functions

void slaqsy(
    const char*          uplo,
    const INT            n,
          f32*  restrict A,
    const INT            lda,
    const f32*  restrict S,
    const f32            scond,
    const f32            amax,
          char*          equed
);
void slaqsy(const char *uplo, const INT n, f32 *restrict A, const INT lda, const f32 *restrict S, const f32 scond, const f32 amax, char *equed)#

SLAQSY equilibrates a symmetric matrix A using the scaling factors in the vector S.

Parameters

in
uplo

Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. If UPLO = ‘U’, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = ‘L’, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if equed = ‘Y’, the equilibrated matrix: diag(S) * A * diag(S).

in
lda

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

in
S

Double precision array, dimension (n). The scale factors for A.

in
scond

Ratio of the smallest S(i) to the largest S(i).

in
amax

Absolute value of largest matrix entry.

out
equed

Specifies whether or not equilibration was done. = ‘N’: No equilibration. = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

Functions

void dlaqsy(
    const char*          uplo,
    const INT            n,
          f64*  restrict A,
    const INT            lda,
    const f64*  restrict S,
    const f64            scond,
    const f64            amax,
          char*          equed
);
void dlaqsy(const char *uplo, const INT n, f64 *restrict A, const INT lda, const f64 *restrict S, const f64 scond, const f64 amax, char *equed)#

DLAQSY equilibrates a symmetric matrix A using the scaling factors in the vector S.

Parameters

in
uplo

Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

inout
A

Double precision array, dimension (lda, n). On entry, the symmetric matrix A. If UPLO = ‘U’, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = ‘L’, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if equed = ‘Y’, the equilibrated matrix: diag(S) * A * diag(S).

in
lda

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

in
S

Double precision array, dimension (n). The scale factors for A.

in
scond

Ratio of the smallest S(i) to the largest S(i).

in
amax

Absolute value of largest matrix entry.

out
equed

Specifies whether or not equilibration was done. = ‘N’: No equilibration. = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

Functions

void claqsy(
    const char*          uplo,
    const INT            n,
          c64*  restrict A,
    const INT            lda,
    const f32*  restrict S,
    const f32            scond,
    const f32            amax,
          char*          equed
);
void claqsy(const char *uplo, const INT n, c64 *restrict A, const INT lda, const f32 *restrict S, const f32 scond, const f32 amax, char *equed)#

CLAQSY equilibrates a symmetric matrix A using the scaling factors in the vector S.

Parameters

in
uplo

Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

inout
A

Complex*16 array, dimension (lda, n). On entry, the symmetric matrix A. If UPLO = ‘U’, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = ‘L’, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if equed = ‘Y’, the equilibrated matrix: diag(S) * A * diag(S).

in
lda

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

in
S

Single precision array, dimension (n). The scale factors for A.

in
scond

Ratio of the smallest S(i) to the largest S(i).

in
amax

Absolute value of largest matrix entry.

out
equed

Specifies whether or not equilibration was done. = ‘N’: No equilibration. = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

Functions

void zlaqsy(
    const char*          uplo,
    const INT            n,
          c128* restrict A,
    const INT            lda,
    const f64*  restrict S,
    const f64            scond,
    const f64            amax,
          char*          equed
);
void zlaqsy(const char *uplo, const INT n, c128 *restrict A, const INT lda, const f64 *restrict S, const f64 scond, const f64 amax, char *equed)#

ZLAQSY equilibrates a symmetric matrix A using the scaling factors in the vector S.

Parameters

in
uplo

Specifies whether the upper or lower triangular part of the symmetric matrix A is stored. = ‘U’: Upper triangular = ‘L’: Lower triangular

in
n

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

inout
A

Complex*16 array, dimension (lda, n). On entry, the symmetric matrix A. If UPLO = ‘U’, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = ‘L’, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if equed = ‘Y’, the equilibrated matrix: diag(S) * A * diag(S).

in
lda

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

in
S

Double precision array, dimension (n). The scale factors for A.

in
scond

Ratio of the smallest S(i) to the largest S(i).

in
amax

Absolute value of largest matrix entry.

out
equed

Specifies whether or not equilibration was done. = ‘N’: No equilibration. = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

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