##### trsyl

###### Prototype

There is one prototype of `trsyl` available, please see below.

    trsyl( const char trana, const char tranb, const int_t isgn,
            const int_t m, const int_t n,
            const MatrixA& a, const MatrixB& b, MatrixC& c, Scalar > );

###### Description

`trsyl` (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines STRSYL, DTRSYL, CTRSYL, and ZTRSYL. `trsyl` solves the complex Sylvester matrix equation:

op(A)*X + X*op(B) = scale*C or op(A)*X - X*op(B) = scale*C,

where op(A) = A or A**H, and A and B are both upper triangular. A is M-by-M and B is N-by-N; the right hand side C and the solution X are M-by-N; and scale is an output scale factor, set <= 1 to avoid overflow in X.

The selection of the LAPACK 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`. The dispatching table below illustrates to which specific routine the code path will be generated.

Table 1.235. Dispatching of trsyl

Value type of MatrixA | LAPACK routine
--- | ---
`float` | STRSYL
`double` | DTRSYL
`complex<float>` | CTRSYL
`complex<double>` | ZTRSYL

###### Definition

Defined in header `boost/numeric/bindings/lapack/computational/trsyl.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/lapack/computational/trsyl.hpp>
    using namespace boost::numeric::bindings;

    lapack::trsyl( x, y, z );

this will output

    [5] 0 1 2 3 4 5

###### Notes

###### See Also

- Originating Fortran source files strsyl.f, dtrsyl.f, ctrsyl.f, and ztrsyl.f at Netlib.