.. _KL_polynomial_matrices.at_ref:

KL_polynomial_matrices.at Function References
=======================================================
|

.. _length_int_i,_vec_stops->int1:

length
-------------------------------------------------
| ``length:int i, vec stops->int`` Defined in line number 5.
| 
| 

.. _length_diff_int_i,int_j,vec_stops->int1:

length_diff
-------------------------------------------------
| ``length_diff:int i,int j,vec stops->int`` Defined in line number 11.
| 
| 

.. _cook_kl_block_alt_[param]_b,int_entry_elem,mat_kl,[poly]_polys,vec_stops,vec_surv,_mat_contrib->([param],int,poly_mat,vec)1:

cook_KL_block_alt
-------------------------------------------------
| ``cook_KL_block_alt:[Param] B,int entry_elem,mat KL,[poly] polys,vec stops,vec surv, mat contrib->([Param],int,poly_mat,vec)`` Defined in line number 18.
| 
| 

.. _eval_poly_mat_m,int_k->mat1:

eval
-------------------------------------------------
| ``eval:poly_mat M,int k->mat`` Defined in line number 55.
| 
| 

.. _permutation_[param]_b1,_[param]_b2->([int],bool)1:

permutation
-------------------------------------------------
| ``permutation:[Param] B1, [Param] B2->([int],bool)`` Defined in line number 60.
| 
| 

.. _kl_p_polynomials_param_p->poly_mat1:

KL_P_polynomials
-------------------------------------------------
| ``KL_P_polynomials:Param p->poly_mat`` Defined in line number 63.
| 
| 

.. _kl_p_polynomials_at_minus_one_param_p->mat1:

KL_P_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_polynomials_at_minus_one:Param p->mat`` Defined in line number 69.
| 
| 

.. _kl_p_signed_polynomials_param_p->poly_mat1:

KL_P_signed_polynomials
-------------------------------------------------
| ``KL_P_signed_polynomials:Param p->poly_mat`` Defined in line number 71.
| 
| 

.. _kl_p_signed_polynomials_at_minus_one_param_p->mat1:

KL_P_signed_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_signed_polynomials_at_minus_one:Param p->mat`` Defined in line number 73.
| 
| 

.. _kl_p_polynomials_[param]_b->poly_mat1:

KL_P_polynomials
-------------------------------------------------
| ``KL_P_polynomials:[Param] B->poly_mat`` Defined in line number 76.
| 
| 

.. _kl_p_polynomials_at_minus_one_[param]_b->mat1:

KL_P_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_polynomials_at_minus_one:[Param] B->mat`` Defined in line number 83.
| 
| 

.. _kl_p_signed_polynomials_[param]_b->poly_mat1:

KL_P_signed_polynomials
-------------------------------------------------
| ``KL_P_signed_polynomials:[Param] B->poly_mat`` Defined in line number 86.
| 
| 

.. _kl_p_signed_polynomials_at_minus_one_[param]_b->mat1:

KL_P_signed_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_signed_polynomials_at_minus_one:[Param] B->mat`` Defined in line number 92.
| 
| 

.. _kl_q_polynomials_param_p->poly_mat1:

KL_Q_polynomials
-------------------------------------------------
| ``KL_Q_polynomials:Param p->poly_mat`` Defined in line number 97.
| 
| 

.. _kl_q_polynomials_[param]_b->poly_mat1:

KL_Q_polynomials
-------------------------------------------------
| ``KL_Q_polynomials:[Param] B->poly_mat`` Defined in line number 98.
| 
| 

.. _final_subset_[param]_b->[param]1:

final_subset
-------------------------------------------------
| ``final_subset:[Param] B->[Param]`` Defined in line number 102.
| 
| 

.. _kl_block_alt_param_p,_mat_delta->([param],int,mat,[vec],vec,vec,mat)1:

KL_block_alt
-------------------------------------------------
| ``KL_block_alt:Param p, mat delta->([Param],int,mat,[vec],vec,vec,mat)`` Defined in line number 109.
| 
| 

.. _kl_p_polynomials_param_p,mat_delta->poly_mat1:

KL_P_polynomials
-------------------------------------------------
| ``KL_P_polynomials:Param p,mat delta->poly_mat`` Defined in line number 139.
| 
| 

.. _kl_p_polynomials_at_minus_one_param_p,mat_delta->mat1:

KL_P_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_polynomials_at_minus_one:Param p,mat delta->mat`` Defined in line number 146.
| 
| 

.. _kl_p_polynomials_[param]_b_fixed,mat_delta->poly_mat1:

KL_P_polynomials
-------------------------------------------------
| ``KL_P_polynomials:[Param] B_fixed,mat delta->poly_mat`` Defined in line number 149.
| 
| 

.. _kl_p_polynomials_at_minus_one_[param]_b_fixed,mat_delta->mat1:

KL_P_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_polynomials_at_minus_one:[Param] B_fixed,mat delta->mat`` Defined in line number 158.
| 
| 

.. _kl_p_signed_polynomials_param_p,_mat_delta->poly_mat1:

KL_P_signed_polynomials
-------------------------------------------------
| ``KL_P_signed_polynomials:Param p, mat delta->poly_mat`` Defined in line number 162.
| 
| 

.. _kl_p_signed_polynomials_at_minus_one_param_p,_mat_delta->mat1:

KL_P_signed_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_signed_polynomials_at_minus_one:Param p, mat delta->mat`` Defined in line number 165.
| 
| 

.. _kl_p_polynomials_alt_[param]_b,mat_delta->poly_mat1:

KL_P_polynomials_alt
-------------------------------------------------
| ``KL_P_polynomials_alt:[Param] B,mat delta->poly_mat`` Defined in line number 170.
| 
| 

.. _kl_p_signed_polynomials_[param]_b,mat_delta->poly_mat1:

KL_P_signed_polynomials
-------------------------------------------------
| ``KL_P_signed_polynomials:[Param] B,mat delta->poly_mat`` Defined in line number 178.
| 
| 

.. _kl_p_signed_polynomials_at_minus_one_[param]_b,mat_delta->mat1:

KL_P_signed_polynomials_at_minus_one
-------------------------------------------------
| ``KL_P_signed_polynomials_at_minus_one:[Param] B,mat delta->mat`` Defined in line number 184.
| 
| 

.. _kl_q_polynomials_param_p->poly_mat2:

KL_Q_polynomials
-------------------------------------------------
| ``KL_Q_polynomials:Param p->poly_mat`` Defined in line number 190.
| 
| 

.. _kl_q_polynomials_[param]_b->poly_mat2:

KL_Q_polynomials
-------------------------------------------------
| ``KL_Q_polynomials:[Param] B->poly_mat`` Defined in line number 191.
| 
| 

.. _kl_p_polynomials_old_param_p->poly_mat1:

KL_P_polynomials_old
-------------------------------------------------
| ``KL_P_polynomials_old:Param p->poly_mat`` Defined in line number 205.
| 
| 

.. _kl_p_polynomials_old_[param]_b_fixed,mat_delta->[[poly]]1:

KL_P_polynomials_old
-------------------------------------------------
| ``KL_P_polynomials_old:[Param] B_fixed,mat delta->[[poly]]`` Defined in line number 219.
| 
| 

.. _kl_p_signed_polynomials_old_[param]_b_fixed,mat_delta->[[poly]]1:

KL_P_signed_polynomials_old
-------------------------------------------------
| ``KL_P_signed_polynomials_old:[Param] B_fixed,mat delta->[[poly]]`` Defined in line number 231.
| 
|