##### trmm

###### Prototype

There are two prototypes of `trmm` available, please see below.

    trmm( const Side side, const Scalar >, const MatrixA& a, MatrixB& b );

    trmm( const Side side, const Scalar alpha, const MatrixA& a,
            MatrixB& b );

###### Description

`trmm` (short for triangular matrix-matrix operation) provides a C++ interface to BLAS routines STRMM, DTRMM, CTRMM, and ZTRMM. `trmm` performs one of the matrix-matrix operations

B := alpha*op( A )*B, or B := alpha*B*op( A )

where alpha is a scalar, B is an m by n matrix, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of

op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ).

The selection of the BLAS routine is done during compile-time, and is determined by the type of values contained in type `MatrixA`. The type of values is obtained through the `value_type` meta-function `typename value_type<MatrixA>::type`. Table X below illustrates to which specific routine this dispatching will take place.

Table 1.96. Dispatching of trmm.

Value type of MatrixA | BLAS routine | CBLAS routine | CUBLAS routine
--- | --- | --- | ---
`float` | STRMM | cblas_strmm | cublasStrmm
`double` | DTRMM | cblas_dtrmm | cublasDtrmm
`complex<float>` | CTRMM | cblas_ctrmm | cublasCtrmm
`complex<double>` | ZTRMM | cblas_ztrmm | Unavailable

The original routines STRMM, DTRMM, CTRMM, and ZTRMM have eleven arguments, whereas `trmm` requires four arguments.

Table 1.97. Deduction of arguments of trmm.

###### Definition

Defined in header `boost/numeric/bindings/blas/level3/trmm.hpp`.

###### Parameters or Requirements on Types

Parameters

MatrixA

  The definition of term 1

MatrixB

  The definition of term 2

MatrixC

  The definition of term 3.

  Definitions may contain paragraphs.

###### Complexity

###### Example

    #include <boost/numeric/bindings/blas/level3/trmm.hpp>
    using namespace boost::numeric::bindings;

    blas::trmm( x, y, z );

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files strmm.f, dtrmm.f, ctrmm.f, and ztrmm.f at Netlib.