There is one prototype of hbgvd
available, please see below.
hbgvd( const char jobz, MatrixAB& ab, MatrixBB& bb, VectorW& w, MatrixZ& z );
hbgvd
(short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SSBGVD, DSBGVD, CHBGVD, and
ZHBGVD. hbgvd
computes
all the eigenvalues, and optionally, the eigenvectors of a complex generalized
Hermitian-definite banded eigenproblem, of the form A*x=(lambda)*B*x.
Here A and B are assumed to be Hermitian and banded, and B is also positive
definite. If eigenvectors are desired, it uses a divide and conquer algorithm.
The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none.
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 1.107. Dispatching of hbgvd
Value type of MatrixAB |
LAPACK routine |
---|---|
|
SSBGVD |
|
DSBGVD |
|
CHBGVD |
|
ZHBGVD |
Defined in header boost/numeric/bindings/lapack/driver/hbgvd.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/driver/hbgvd.hpp> using namespace boost::numeric::bindings; lapack::hbgvd( x, y, z );
this will output
[5] 0 1 2 3 4 5