PLASMA  2.8.0
PLASMA - Parallel Linear Algebra for Scalable Multi-core Architectures
int CORE_cgelqt ( int  M,
int  N,
int  IB,
PLASMA_Complex32_t *  A,
int  LDA,
PLASMA_Complex32_t *  T,
int  LDT,
PLASMA_Complex32_t *  TAU,
PLASMA_Complex32_t *  WORK 
)

CORE_cgelqt - computes a LQ factorization of a complex M-by-N tile A: A = L * Q.

The tile Q is represented as a product of elementary reflectors

Q = H(k)' . . . H(2)' H(1)', where k = min(M,N).

Each H(i) has the form

H(i) = I - tau * v * v'

where tau is a complex scalar, and v is a complex vector with v(1:i-1) = 0 and v(i) = 1; conjfg(v(i+1:n)) is stored on exit in A(i,i+1:n), and tau in TAU(i).

Parameters
[in]MThe number of rows of the tile A. M >= 0.
[in]NThe number of columns of the tile A. N >= 0.
[in]IBThe inner-blocking size. IB >= 0.
[in,out]AOn entry, the M-by-N tile A. On exit, the elements on and below the diagonal of the array contain the M-by-min(M,N) lower trapezoidal tile L (L is lower triangular if M <= N); the elements above the diagonal, with the array TAU, represent the unitary tile Q as a product of elementary reflectors (see Further Details).
[in]LDAThe leading dimension of the array A. LDA >= max(1,M).
[out]TThe IB-by-N triangular factor T of the block reflector. T is upper triangular by block (economic storage); The rest of the array is not referenced.
[in]LDTThe leading dimension of the array T. LDT >= IB.
[out]TAUThe scalar factors of the elementary reflectors (see Further Details).
[out]WORK
Returns
Return values
PLASMA_SUCCESSsuccessful exit
<0if -i, the i-th argument had an illegal value