PLASMA
Parallel Linear Algebra Software for Multicore Architectures
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Functions | |
__attribute__ ((weak)) | |
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Applies an upper triangular block reflector H or its transpose H^H to a 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 |
[in] | side |
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[in] | trans |
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[in] | direct | Indicates how H is formed from a product of elementary reflectors
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[in] | storev | Indicates how the vectors which define the elementary reflectors are stored:
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[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 leading dimension of the array work. |
PlasmaSuccess | successful exit |
< | 0 if -i, the i-th argument had an illegal value |
Applies an upper triangular block reflector H or its transpose H^T to a 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 |
[in] | side |
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[in] | trans |
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[in] | direct | Indicates how H is formed from a product of elementary reflectors
|
[in] | storev | Indicates how the vectors which define the elementary reflectors are stored:
|
[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 leading dimension of the array work. |
PlasmaSuccess | successful exit |
< | 0 if -i, the i-th argument had an illegal value |