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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine ctpmlqt | ( | character | SIDE, |
| character | TRANS, | ||
| integer | M, | ||
| integer | N, | ||
| integer | K, | ||
| integer | L, | ||
| integer | MB, | ||
| complex, dimension( ldv, * ) | V, | ||
| integer | LDV, | ||
| complex, dimension( ldt, * ) | T, | ||
| integer | LDT, | ||
| complex, dimension( lda, * ) | A, | ||
| integer | LDA, | ||
| complex, dimension( ldb, * ) | B, | ||
| integer | LDB, | ||
| complex, dimension( * ) | WORK, | ||
| integer | INFO | ||
| ) |
CTPMLQT
CTPMLQT applies a complex orthogonal matrix Q obtained from a "triangular-pentagonal" complex block reflector H to a general complex matrix C, which consists of two blocks A and B.
| [in] | SIDE | SIDE is CHARACTER*1
= 'L': apply Q or Q**H from the Left;
= 'R': apply Q or Q**H from the Right. |
| [in] | TRANS | TRANS is CHARACTER*1
= 'N': No transpose, apply Q;
= 'C': Transpose, apply Q**H. |
| [in] | M | M is INTEGER
The number of rows of the matrix B. M >= 0. |
| [in] | N | N is INTEGER
The number of columns of the matrix B. N >= 0. |
| [in] | K | K is INTEGER
The number of elementary reflectors whose product defines
the matrix Q. |
| [in] | L | L is INTEGER
The order of the trapezoidal part of V.
K >= L >= 0. See Further Details. |
| [in] | MB | MB is INTEGER
The block size used for the storage of T. K >= MB >= 1.
This must be the same value of MB used to generate T
in DTPLQT. |
| [in] | V | V is COMPLEX array, dimension (LDV,K)
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
DTPLQT in B. See Further Details. |
| [in] | LDV | LDV is INTEGER
The leading dimension of the array V.
If SIDE = 'L', LDV >= max(1,M);
if SIDE = 'R', LDV >= max(1,N). |
| [in] | T | T is COMPLEX array, dimension (LDT,K)
The upper triangular factors of the block reflectors
as returned by DTPLQT, stored as a MB-by-K matrix. |
| [in] | LDT | LDT is INTEGER
The leading dimension of the array T. LDT >= MB. |
| [in,out] | A | A is COMPLEX array, dimension
(LDA,N) if SIDE = 'L' or
(LDA,K) if SIDE = 'R'
On entry, the K-by-N or M-by-K matrix A.
On exit, A is overwritten by the corresponding block of
Q*C or Q**H*C or C*Q or C*Q**H. See Further Details. |
| [in] | LDA | LDA is INTEGER
The leading dimension of the array A.
If SIDE = 'L', LDC >= max(1,K);
If SIDE = 'R', LDC >= max(1,M). |
| [in,out] | B | B is COMPLEX array, dimension (LDB,N)
On entry, the M-by-N matrix B.
On exit, B is overwritten by the corresponding block of
Q*C or Q**H*C or C*Q or C*Q**H. See Further Details. |
| [in] | LDB | LDB is INTEGER
The leading dimension of the array B.
LDB >= max(1,M). |
| [out] | WORK | WORK is COMPLEX array. The dimension of WORK is
N*MB if SIDE = 'L', or M*MB if SIDE = 'R'. |
| [out] | INFO | INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value |
The columns of the pentagonal matrix V contain the elementary reflectors
H(1), H(2), ..., H(K); V is composed of a rectangular block V1 and a
trapezoidal block V2:
V = [V1] [V2].
The size of the trapezoidal block V2 is determined by the parameter L,
where 0 <= L <= K; V2 is lower trapezoidal, consisting of the first L
rows of a K-by-K upper triangular matrix. If L=K, V2 is lower triangular;
if L=0, there is no trapezoidal block, hence V = V1 is rectangular.
If SIDE = 'L': C = [A] where A is K-by-N, B is M-by-N and V is K-by-M.
[B]
If SIDE = 'R': C = [A B] where A is M-by-K, B is M-by-N and V is K-by-N.
The real orthogonal matrix Q is formed from V and T.
If TRANS='N' and SIDE='L', C is on exit replaced with Q * C.
If TRANS='C' and SIDE='L', C is on exit replaced with Q**H * C.
If TRANS='N' and SIDE='R', C is on exit replaced with C * Q.
If TRANS='C' and SIDE='R', C is on exit replaced with C * Q**H. Definition at line 203 of file ctpmlqt.f.
1.8.16