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.

Definition

Defined in header boost/numeric/bindings/lapack/computational/trsyl.hpp.

Parameters or Requirements on Types

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