unm2r#

Functions

void cunm2r(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const c64*  restrict A,
    const INT            lda,
    const c64*  restrict tau,
          c64*  restrict C,
    const INT            ldc,
          c64*  restrict work,
          INT*           info
);
void cunm2r(const char *side, const char *trans, const INT m, const INT n, const INT k, const c64 *restrict A, const INT lda, const c64 *restrict tau, c64 *restrict C, const INT ldc, c64 *restrict work, INT *info)#

CUNM2R overwrites the general complex m-by-n matrix C with. 

  Q * C  if SIDE = 'L' and TRANS = 'N', or

  Q**H* C  if SIDE = 'L' and TRANS = 'C', or

  C * Q  if SIDE = 'R' and TRANS = 'N', or

  C * Q**H if SIDE = 'R' and TRANS = 'C',
where Q is a complex unitary matrix defined as the product of k elementary reflectors 
  Q = H(1) H(2) . . . H(k)
as returned by CGEQRF. Q is of order m if SIDE = ‘L’ and of order n if SIDE = ‘R’.

Parameters

in
side

= ‘L’: apply Q or Q**H from the Left = ‘R’: apply Q or Q**H from the Right

in
trans

= ‘N’: apply Q (No transpose) = ‘C’: apply Q**H (Conjugate transpose)

in
m

The number of rows of the matrix C. m >= 0.

in
n

The number of columns of the matrix C. n >= 0.

in
k

The number of elementary reflectors whose product defines the matrix Q. If SIDE = ‘L’, m >= k >= 0; if SIDE = ‘R’, n >= k >= 0.

in
A

Complex array, dimension (lda, k). The i-th column must contain the vector which defines the elementary reflector H(i), for i = 0,1,…,k-1, as returned by CGEQRF in the first k columns of its array argument A. A is modified by the routine but restored on exit.

in
lda

The leading dimension of the array A. If SIDE = ‘L’, lda >= max(1, m); if SIDE = ‘R’, lda >= max(1, n).

in
tau

Complex array, dimension (k). tau(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGEQRF.

inout
C

Complex array, dimension (ldc, n). On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.

in
ldc

The leading dimension of the array C. ldc >= max(1, m).

out
work

Complex workspace array, dimension (n) if SIDE = ‘L’, (m) if SIDE = ‘R’.

out
info

= 0: successful exit < 0: if info = -i, the i-th argument had an illegal value.

Functions

void zunm2r(
    const char*          side,
    const char*          trans,
    const INT            m,
    const INT            n,
    const INT            k,
    const c128* restrict A,
    const INT            lda,
    const c128* restrict tau,
          c128* restrict C,
    const INT            ldc,
          c128* restrict work,
          INT*           info
);
void zunm2r(const char *side, const char *trans, const INT m, const INT n, const INT k, const c128 *restrict A, const INT lda, const c128 *restrict tau, c128 *restrict C, const INT ldc, c128 *restrict work, INT *info)#

ZUNM2R overwrites the general complex m-by-n matrix C with. 

  Q * C  if SIDE = 'L' and TRANS = 'N', or

  Q**H* C  if SIDE = 'L' and TRANS = 'C', or

  C * Q  if SIDE = 'R' and TRANS = 'N', or

  C * Q**H if SIDE = 'R' and TRANS = 'C',
where Q is a complex unitary matrix defined as the product of k elementary reflectors 
  Q = H(1) H(2) . . . H(k)
as returned by ZGEQRF. Q is of order m if SIDE = ‘L’ and of order n if SIDE = ‘R’.

Parameters

in
side

= ‘L’: apply Q or Q**H from the Left = ‘R’: apply Q or Q**H from the Right

in
trans

= ‘N’: apply Q (No transpose) = ‘C’: apply Q**H (Conjugate transpose)

in
m

The number of rows of the matrix C. m >= 0.

in
n

The number of columns of the matrix C. n >= 0.

in
k

The number of elementary reflectors whose product defines the matrix Q. If SIDE = ‘L’, m >= k >= 0; if SIDE = ‘R’, n >= k >= 0.

in
A

Complex array, dimension (lda, k). The i-th column must contain the vector which defines the elementary reflector H(i), for i = 0,1,…,k-1, as returned by ZGEQRF in the first k columns of its array argument A. A is modified by the routine but restored on exit.

in
lda

The leading dimension of the array A. If SIDE = ‘L’, lda >= max(1, m); if SIDE = ‘R’, lda >= max(1, n).

in
tau

Complex array, dimension (k). tau(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEQRF.

inout
C

Complex array, dimension (ldc, n). On entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.

in
ldc

The leading dimension of the array C. ldc >= max(1, m).

out
work

Complex workspace array, dimension (n) if SIDE = ‘L’, (m) if SIDE = ‘R’.

out
info

= 0: successful exit < 0: if info = -i, the i-th argument had an illegal value.

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