PLASMA 2.8.0 PLASMA - Parallel Linear Algebra for Scalable Multi-core Architectures

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int CORE_zparfb | ( | PLASMA_enum | side,
|  | PLASMA_enum | trans,
|  | PLASMA_enum | direct,
|  | PLASMA_enum | storev,
|  | int | M1,
|  | int | N1,
|  | int | M2,
|  | int | N2,
|  | int | K,
|  | int | L,
|  | PLASMA_Complex64_t * | A1,
|  | int | LDA1,
|  | PLASMA_Complex64_t * | A2,
|  | int | LDA2,
|  | const PLASMA_Complex64_t * | V,
|  | int | LDV,
|  | const PLASMA_Complex64_t * | T,
|  | int | LDT,
|  | PLASMA_Complex64_t * | WORK,
|  | int | LDWORK
| ) |  |

CORE_zparfb applies a complex upper triangular block reflector H or its transpose H' to a complex rectangular matrix formed by coupling two tiles A1 and A2. Matrix V is:

        COLUMNWISE                    ROWWISE

       |     K     |                 |      N2-L     |   L  |
    __ _____________ __           __ _________________        __
       |    |      |                 |               | \
       |    |      |                 |               |   \    L

M2-L | | | K |_______________|_____\ __ | | | M2 | | __ |____| | | | K-L \ | | __ |______________________| __ L \ | | __ |______| __ | N2 |

| L | K-L |

Parameters

  [in] | side | PlasmaLeft : apply Q or Q**H from the Left; PlasmaRight : apply Q or Q**H from the Right.
  [in] | trans | PlasmaNoTrans : No transpose, apply Q; PlasmaConjTrans : ConjTranspose, apply Q**H.
  [in] | direct | Indicates how H is formed from a product of elementary reflectors PlasmaForward : H = H(1) H(2) . . . H(k) (Forward) PlasmaBackward : H = H(k) . . . H(2) H(1) (Backward)
  [in] | storev | Indicates how the vectors which define the elementary reflectors are stored: PlasmaColumnwise PlasmaRowwise
  [in] | M1 | The number of columns of the tile A1. M1 >= 0.
  [in] | N1 | The number of rows of the tile A1. N1 >= 0.
  [in] | M2 | The number of columns of the tile A2. M2 >= 0.
  [in] | N2 | The number of rows of the tile A2. N2 >= 0.
  [in] | K | The order of the matrix T (= the number of elementary reflectors whose product defines the block reflector).
  [in] | L | The size of the triangular part of V
  [in,out] | A1 | On entry, the M1-by-N1 tile A1. On exit, A1 is overwritten by the application of Q.
  [in] | LDA1 | The leading dimension of the array A1. LDA1 >= max(1,N1).
  [in,out] | A2 | On entry, the M2-by-N2 tile A2. On exit, A2 is overwritten by the application of Q.
  [in] | LDA2 | The leading dimension of the tile A2. LDA2 >= max(1,N2).
  [in] | V | (LDV,K) if STOREV = 'C' (LDV,M2) if STOREV = 'R' and SIDE = 'L' (LDV,N2) if STOREV = 'R' and SIDE = 'R' Matrix V.
  [in] | LDV | The leading dimension of the array V. If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M2); if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N2); if STOREV = 'R', LDV >= K.
  [out] | T | The triangular K-by-K matrix T in the representation of the block reflector. T is upper triangular by block (economic storage); The rest of the array is not referenced.
  [in] | LDT | The leading dimension of the array T. LDT >= K.
  [in,out] | WORK |
  [in] | LDWORK | The dimension of the array WORK.

Returns

Return values

  PLASMA_SUCCESS | successful exit
  <0 | if -i, the i-th argument had an illegal value