laqsp#

Functions

void slaqsp(
    const char*          uplo,
    const INT            n,
          f32*  restrict AP,
    const f32*  restrict S,
    const f32            scond,
    const f32            amax,
          char*          equed
);
void slaqsp(const char *uplo, const INT n, f32 *restrict AP, const f32 *restrict S, const f32 scond, const f32 amax, char *equed)#

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

Parameters

in
uplo

= ‘U’: Upper triangular part of A is stored = ‘L’: Lower triangular part of A is stored

in
n

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

inout
AP

On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. On exit, the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. Array of dimension (n*(n+1)/2).

in
S

The scale factors for A. Array of dimension (n).

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Specifies whether or not equilibration was done: = ‘N’: No equilibration = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).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 dlaqsp(
    const char*          uplo,
    const INT            n,
          f64*  restrict AP,
    const f64*  restrict S,
    const f64            scond,
    const f64            amax,
          char*          equed
);
void dlaqsp(const char *uplo, const INT n, f64 *restrict AP, const f64 *restrict S, const f64 scond, const f64 amax, char *equed)#

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

Parameters

in
uplo

= ‘U’: Upper triangular part of A is stored = ‘L’: Lower triangular part of A is stored

in
n

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

inout
AP

On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. On exit, the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. Array of dimension (n*(n+1)/2).

in
S

The scale factors for A. Array of dimension (n).

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Specifies whether or not equilibration was done: = ‘N’: No equilibration = ‘Y’: Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).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 claqsp(
    const char*          uplo,
    const INT            n,
          c64*  restrict AP,
    const f32*  restrict S,
    const f32            scond,
    const f32            amax,
          char*          equed
);
void claqsp(const char *uplo, const INT n, c64 *restrict AP, const f32 *restrict S, const f32 scond, const f32 amax, char *equed)#

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

Parameters

in
uplo

= ‘U’: Upper triangular part of A is stored = ‘L’: Lower triangular part of A is stored

in
n

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

inout
AP

On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. On exit, the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. Array of dimension (n*(n+1)/2).

in
S

The scale factors for A. Array of dimension (n).

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 zlaqsp(
    const char*          uplo,
    const INT            n,
          c128* restrict AP,
    const f64*  restrict S,
    const f64            scond,
    const f64            amax,
          char*          equed
);
void zlaqsp(const char *uplo, const INT n, c128 *restrict AP, const f64 *restrict S, const f64 scond, const f64 amax, char *equed)#

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

Parameters

in
uplo

= ‘U’: Upper triangular part of A is stored = ‘L’: Lower triangular part of A is stored

in
n

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

inout
AP

On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. On exit, the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. Array of dimension (n*(n+1)/2).

in
S

The scale factors for A. Array of dimension (n).

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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