LaplaceSurvivor¶

class DCProgs::LaplaceSurvivor¶

Survivor functions $^{A}R(s)$ in Laplace space.

It is practical to have it defined on its own.

Subclassed by DCProgs::DeterminantEq

Public Functions

LaplaceSurvivor(QMatrix const &_qmatrix)¶

Constructor.

Parameters

• _qmatrix -

  The transition state matrix for which to compute \(^eG_{AF}(t\rightarrow\infty)\)

LaplaceSurvivor(LaplaceSurvivor const &_c)¶

Copy constructor.

t_rmatrix H(t_real _s, t_real _tau) const¶

Computes \(sI - Q_{AA} - Q_{AF}\ \int_0^\tau e^{-st}e^{Q_{FF}t}\partial\,t\ Q_{FA}\)

Parameters

• _s -

  Value of the laplacian scale

• _tau -

  Maximum length of missed events

t_rmatrix operator()(t_real _s, t_real _tau) const¶

Computes the determinant \(\mathrm{det}(sI - H(s))\)

Parameters

• _s -

  Value of the laplacian scale

• _tau -

  Maximum length of missed events

t_rmatrix W(t_real _s, t_real _tau) const¶

Computes the matrix \(W=\mathrm{det}(sI - H(s, \tau))\)

Parameters

• _s -

  Value of the laplacian scale

• _tau -

  Maximum length of missed events

t_rmatrix s_derivative(t_real _s, t_real _tau) const¶

Derivative along of W along s

Parameters

• _s -

  Value of the laplacian scale

• _tau -

  Maximum length of missed events

QMatrix const &get_qmatrix() const¶

Returns the Q matrix.

This is strictly a read-only function since changing the matrix has fairly far ranging implications.

t_uint get_nopen() const¶

Get expected number of open-states.

LaplaceSurvivor transpose() const¶

Returns \(^{F}R(s)\).

t_cvector get_ff_eigenvalues() const¶

Returns eigenvalues of ff block.