lapack_householder_product_f32

void lapack_householder_product_f32(const float * H, const float * tau, float * Q_out, int m, int n, int k, int * info)

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Single-precision Householder-product Q reconstruction.

Given the Householder-reflector form of $Q$ produced by sgeqrf_ (matrix $H$ + scalar coefficients $\tau$ ), materialises the first $k$ columns of $Q$ explicitly into Q_out.

References

LAPACK sorgqr_.

Parameters

Hconst float*

Row-major

m \times n

reflector storage from sgeqrf_.

tauconst float*

Length-

k

Householder scaling coefficients.

Q_outfloat*

Output orthonormal matrix, shape

m \times k

(row-major).

m, n, kint

Dimensions; usually

k = \min(m, n)

infoint*

LAPACK status word.