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ptcon
Prototype

There is one prototype of ptcon available, please see below.

ptcon( const VectorD& d, const VectorE& e, const Scalar >, Scalar > );

Description

ptcon (short for $FRIENDLY_NAME) provides a C++ interface to LAPACK routines SPTCON, DPTCON, CPTCON, and ZPTCON. ptcon computes the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite tridiagonal matrix using the factorization A = LD*LH or A = U*H*D*U computed by ZPTTRF.

Norm(inv(A)) is computed by a direct method, and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

The selection of the LAPACK routine is done during compile-time, and is determined by the type of values contained in type VectorD. The type of values is obtained through the value_type meta-function typename value_type<VectorD>::type. The dispatching table below illustrates to which specific routine the code path will be generated.

Table 1.282. Dispatching of ptcon

Value type of VectorD

LAPACK routine

float

SPTCON

double

DPTCON

complex<float>

CPTCON

complex<double>

ZPTCON


Definition

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

Parameters or Requirements on Types

Parameters

MatrixA

The definition of term 1

MatrixB

The definition of term 2

MatrixC

The definition of term 3.

Definitions may contain paragraphs.

Complexity
Example

#include <boost/numeric/bindings/lapack/computational/ptcon.hpp>
using namespace boost::numeric::bindings;

lapack::ptcon( x, y, z );

this will output

[5] 0 1 2 3 4 5

Notes
See Also

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