There is one prototype of pbequ
available, please see below.
pbequ( const MatrixAB& ab, VectorS& s, Scalar >, Scalar > );
pbequ
(short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SPBEQU, DPBEQU, CPBEQU, and
ZPBEQU. pbequ
computes
row and column scalings intended to equilibrate a Hermitian positive
definite band matrix A and reduce its condition number (with respect
to the two-norm). S contains the scale factors, S(i) = 1/sqrt(A(i,i)),
chosen so that the scaled matrix B with elements B(i,j) = S(i)*A(i,j)*S(j)
has ones on the diagonal. This choice of S puts the condition number
of B within a factor N of the smallest possible condition number over
all possible diagonal scalings.
The selection of the LAPACK routine is done during compile-time, and
is determined by the type of values contained in type MatrixAB
.
The type of values is obtained through the value_type
meta-function typename value_type<MatrixAB>::type
. The dispatching table below illustrates
to which specific routine the code path will be generated.
Table 1.262. Dispatching of pbequ
Value type of MatrixAB |
LAPACK routine |
---|---|
|
SPBEQU |
|
DPBEQU |
|
CPBEQU |
|
ZPBEQU |
Defined in header boost/numeric/bindings/lapack/computational/pbequ.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/pbequ.hpp> using namespace boost::numeric::bindings; lapack::pbequ( x, y, z );
this will output
[5] 0 1 2 3 4 5