There is one prototype of gebal
available, please see below.
gebal( const char job, MatrixA& a, int_t& ilo, int_t& ihi, VectorSCALE& scale );
gebal (short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SGEBAL, DGEBAL, CGEBAL, and
ZGEBAL. gebal balances
a general complex matrix A. This involves, first, permuting A by a similarity
transformation to isolate eigenvalues in the first 1 to ILO-1 and last
IHI+1 to N elements on the diagonal; and second, applying a diagonal
similarity transformation to rows and columns ILO to IHI to make the
rows and columns as close in norm as possible. Both steps are optional.
Balancing may reduce the 1-norm of the matrix, and improve the accuracy of the computed eigenvalues and/or eigenvectors.
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 1.225. Dispatching of gebal
|
Value type of MatrixA |
LAPACK routine |
|---|---|
|
|
SGEBAL |
|
|
DGEBAL |
|
|
CGEBAL |
|
|
ZGEBAL |
Defined in header boost/numeric/bindings/lapack/computational/gebal.hpp.
Parameters
The definition of term 1
The definition of term 2
The definition of term 3.
Definitions may contain paragraphs.
#include <boost/numeric/bindings/lapack/computational/gebal.hpp> using namespace boost::numeric::bindings; lapack::gebal( x, y, z );
this will output
[5] 0 1 2 3 4 5