TRSM - Solving triangular systems of equations

pyclblas.clblasCtrsm(order, side, uplo, transA, diag, M, N, alpha, A, offA, lda, B, offB, ldb, commandQueues, eventWaitList)

wraps: clblasCtrsm

Solving triangular systems of equations with multiple right-hand sides and float complex elements. Extended version. Solving triangular systems of equations:

  • ( B ← α A-1B )
  • ( B ← α A^{-T} B )
  • ( B ← α B A-1)
  • ( B ← α B A^{-T} )
where T is an upper or lower triangular matrix.
Parameters:
  • order (clblasOrder [in]) – Row/column order.
  • side (clblasSide [in]) – The side of triangular matrix.
  • uplo (clblasUplo [in]) – The triangle in matrix being referenced.
  • transA (clblasTranspose [in]) – How matrix A is to be transposed.
  • diag (clblasDiag [in]) – Specify whether matrix is unit triangular.
  • M (int [in]) – Number of rows in matrix B.
  • N (int [in]) – Number of columns in matrix B.
  • alpha (complex [in]) – The factor of matrix A.
  • A (pyopencl.Buffer [in]) – Buffer object storing matrix A.
  • offA (int [in]) – Offset of the first element of the matrix A in the buffer object. Counted in elements.
  • lda (int [in]) – Leading dimension of matrix A.
  • B (pyopencl.Buffer [out]) – Buffer object storing matrix B.
  • offB (int [in]) – Offset of the first element of the matrix B in the buffer object. Counted in elements.
  • ldb (int [in]) – Leading dimension of matrix B.
  • commandQueues (pyopencl.CommandQueue [in]) – OpenCL command queues. A list, tuple, or single instance of pyopencl.CommandQueue. Must not be None.
  • eventWaitList (pyopencl.Event [in]) – Event wait list. A list, tuple, or single instance of pyopencl.Event. May be None.
Returns:

A tuple of pyopencl.Event instances, one for each commandQueue supplied.

pyclblas.clblasDtrsm(order, side, uplo, transA, diag, M, N, alpha, A, offA, lda, B, offB, ldb, commandQueues, eventWaitList)

wraps: clblasDtrsm

Solving triangular systems of equations with multiple right-hand sides and double elements. Extended version. <dl class=”section note”> <dt> Note </dt> <dd> This function is not thread-safe. </dd> </dl> Solving triangular systems of equations:

  • ( B ← α A-1B )
  • ( B ← α A^{-T} B )
  • ( B ← α B A-1)
  • ( B ← α B A^{-T} )
where T is an upper or lower triangular matrix.
Parameters:
  • order (clblasOrder [in]) – Row/column order.
  • side (clblasSide [in]) – The side of triangular matrix.
  • uplo (clblasUplo [in]) – The triangle in matrix being referenced.
  • transA (clblasTranspose [in]) – How matrix A is to be transposed.
  • diag (clblasDiag [in]) – Specify whether matrix is unit triangular.
  • M (int [in]) – Number of rows in matrix B.
  • N (int [in]) – Number of columns in matrix B.
  • alpha (float [in]) – The factor of matrix A.
  • A (pyopencl.Buffer [in]) – Buffer object storing matrix A.
  • offA (int [in]) – Offset of the first element of the matrix A in the buffer object. Counted in elements.
  • lda (int [in]) – Leading dimension of matrix A.
  • B (pyopencl.Buffer [out]) – Buffer object storing matrix B.
  • offB (int [in]) – Offset of the first element of the matrix A in the buffer object. Counted in elements.
  • ldb (int [in]) – Leading dimension of matrix B.
  • commandQueues (pyopencl.CommandQueue [in]) – OpenCL command queues. A list, tuple, or single instance of pyopencl.CommandQueue. Must not be None.
  • eventWaitList (pyopencl.Event [in]) – Event wait list. A list, tuple, or single instance of pyopencl.Event. May be None.
Returns:

A tuple of pyopencl.Event instances, one for each commandQueue supplied.

pyclblas.clblasStrsm(order, side, uplo, transA, diag, M, N, alpha, A, offA, lda, B, offB, ldb, commandQueues, eventWaitList)

wraps: clblasStrsm

Solving triangular systems of equations with multiple right-hand sides and float elements. Extended version. <dl class=”section note”> <dt> Note </dt> <dd> This function is not thread-safe. </dd> </dl> Solving triangular systems of equations:

  • ( B ← α A-1B )
  • ( B ← α A^{-T} B )
  • ( B ← α B A-1)
  • ( B ← α B A^{-T} )
where T is an upper or lower triangular matrix.
Parameters:
  • order (clblasOrder [in]) – Row/column order.
  • side (clblasSide [in]) – The side of triangular matrix.
  • uplo (clblasUplo [in]) – The triangle in matrix being referenced.
  • transA (clblasTranspose [in]) – How matrix A is to be transposed.
  • diag (clblasDiag [in]) – Specify whether matrix is unit triangular.
  • M (int [in]) – Number of rows in matrix B.
  • N (int [in]) – Number of columns in matrix B.
  • alpha (float [in]) – The factor of matrix A.
  • A (pyopencl.Buffer [in]) – Buffer object storing matrix A.
  • offA (int [in]) – Offset of the first element of the matrix A in the buffer object. Counted in elements.
  • lda (int [in]) – Leading dimension of matrix A. It cannot be less than M when the side parameter is set to clblasLeft, or less than N when it is set to clblasRight.
  • B (pyopencl.Buffer [out]) – Buffer object storing matrix B.
  • offB (int [in]) – Offset of the first element of the matrix B in the buffer object. Counted in elements.
  • ldb (int [in]) – Leading dimension of matrix B. It cannot be less than N when the order parameter is set to clblasRowMajor, or less than M when it is set to clblasColumnMajor.
  • commandQueues (pyopencl.CommandQueue [in]) – OpenCL command queues. A list, tuple, or single instance of pyopencl.CommandQueue. Must not be None.
  • eventWaitList (pyopencl.Event [in]) – Event wait list. A list, tuple, or single instance of pyopencl.Event. May be None.
Returns:

A tuple of pyopencl.Event instances, one for each commandQueue supplied.

pyclblas.clblasZtrsm(order, side, uplo, transA, diag, M, N, alpha, A, offA, lda, B, offB, ldb, commandQueues, eventWaitList)

wraps: clblasZtrsm

Solving triangular systems of equations with multiple right-hand sides and double complex elements. Extended version. Solving triangular systems of equations:

  • ( B ← α A-1B )
  • ( B ← α A^{-T} B )
  • ( B ← α B A-1)
  • ( B ← α B A^{-T} )
where T is an upper or lower triangular matrix.
Parameters:
  • order (clblasOrder [in]) – Row/column order.
  • side (clblasSide [in]) – The side of triangular matrix.
  • uplo (clblasUplo [in]) – The triangle in matrix being referenced.
  • transA (clblasTranspose [in]) – How matrix A is to be transposed.
  • diag (clblasDiag [in]) – Specify whether matrix is unit triangular.
  • M (int [in]) – Number of rows in matrix B.
  • N (int [in]) – Number of columns in matrix B.
  • alpha (complex [in]) – The factor of matrix A.
  • A (pyopencl.Buffer [in]) – Buffer object storing matrix A.
  • offA (int [in]) – Offset of the first element of the matrix A in the buffer object. Counted in elements.
  • lda (int [in]) – Leading dimension of matrix A.
  • B (pyopencl.Buffer [out]) – Buffer object storing matrix B.
  • offB (int [in]) – Offset of the first element of the matrix B in the buffer object. Counted in elements.
  • ldb (int [in]) – Leading dimension of matrix B.
  • commandQueues (pyopencl.CommandQueue [in]) – OpenCL command queues. A list, tuple, or single instance of pyopencl.CommandQueue. Must not be None.
  • eventWaitList (pyopencl.Event [in]) – Event wait list. A list, tuple, or single instance of pyopencl.Event. May be None.
Returns:

A tuple of pyopencl.Event instances, one for each commandQueue supplied.