There is one prototype of langb
available, please see below.
langb( const char norm, const MatrixAB& ab );
langb
(short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SLANGB, DLANGB, CLANGB, and
ZLANGB. langb
returns
the value of the one norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of an n by n band matrix A,
with kl sub-diagonals and ku super-diagonals.
Description =
=
=
==
langb
returns the value
langb
= ( max(abs(A(i,j))),
NORM = 'M' or 'm' ( ( norm1(A), NORM = '1', 'O' or 'o' ( ( normI(A),
NORM = 'I' or 'i' ( ( normF(A), NORM = 'F', 'f', 'E' or 'e'
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
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 1.349. Dispatching of langb
Value type of MatrixAB |
LAPACK routine |
---|---|
|
SLANGB |
|
DLANGB |
|
CLANGB |
|
ZLANGB |
Defined in header boost/numeric/bindings/lapack/auxiliary/langb.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/auxiliary/langb.hpp> using namespace boost::numeric::bindings; lapack::langb( x, y, z );
this will output
[5] 0 1 2 3 4 5