This is Info file liboct, produced by Makeinfo-1.64 from the input file
liboct.tex.

   Copyright (C) 1996 John W. Eaton.

   Permission is granted to make and distribute verbatim copies of this
manual provided the copyright notice and this permission notice are
preserved on all copies.

   Permission is granted to copy and distribute modified versions of
this manual under the conditions for verbatim copying, provided that
the entire resulting derived work is distributed under the terms of a
permission notice identical to this one.

   Permission is granted to copy and distribute translations of this
manual into another language, under the above conditions for modified
versions.


File: liboct,  Node: Quadrature,  Next: Ordinary Differential Equations,  Prev: Objective Functions,  Up: Top

Quadrature
**********

 - :  Quad (integrand_fcn FCN)
 - :  Quad (integrand_fcn FCN, double ABS, double REL)

 - : virtual double integrate (void)
 - : virtual double integrate (int &IER)
 - : virtual double integrate (int &IER, int &NEVAL)
 - : virtual double integrate (int &IER, int &NEVAL, double &ABSERR) = 0

 - : Quad_options (void)
 - : Quad_options (const Quad_options &OPT)

 - : Quad_options& operator = (const Quad_options &OPT)

 - : void init (void)

 - : void copy (const Quad_options &OPT)

 - : void set_default_options (void)

 - : void set_absolute_tolerance (double VAL)

 - : void set_relative_tolerance (double VAL)

 - : double absolute_tolerance (void)
 - : double relative_tolerance (void)

 - :  DefQuad (integrand_fcn FCN)
 - :  DefQuad (integrand_fcn FCN, double LL, double UL)
 - :  DefQuad (integrand_fcn FCN, double LL, double UL, double ABS,
          double REL)
 - :  DefQuad (integrand_fcn FCN, double LL, double UL, const
          ColumnVector &SING)
 - :  DefQuad (integrand_fcn FCN, const ColumnVector &SING, double ABS,
          double REL)
 - :  DefQuad (integrand_fcn FCN, const ColumnVector &SING)
 - :  DefQuad (integrand_fcn FCN, double LL, double UL, const
          ColumnVector &SING, double ABS, double REL)

 - :  IndefQuad (integrand_fcn FCN)
 - :  IndefQuad (integrand_fcn FCN, double B, IntegralType T)
 - :  IndefQuad (integrand_fcn FCN, double B, IntegralType T, double
          ABS, double REL)
 - :  IndefQuad (integrand_fcn FCN, double ABS, double REL)


File: liboct,  Node: Collocation Weights,  Prev: Quadrature

Collocation Weights
*******************

 - :  CollocWt (void)
 - :  CollocWt (int N, int INC_L, int INC_R)
 - :  CollocWt (int N, int INC_L, int INC_R, double L, double R)
 - :  CollocWt (int N, double A, double B, int INC_L, int INC_R)
 - :  CollocWt (int N, int INC_L, int INC_R, double L, double R)
 - :  CollocWt (const CollocWt&)

 - : CollocWt& operator = (const CollocWt&)

 - : CollocWt& resize (int NCOL)

 - : CollocWt& add_left (void)
 - : CollocWt& add_right (void)

 - : CollocWt& delete_left (void)
 - : CollocWt& delete_right (void)

 - : CollocWt& set_left (double VAL)
 - : CollocWt& set_right (double VAL)

 - : CollocWt& set_alpha (double VAL)
 - : CollocWt& set_beta (double VAL)

 - : int ncol (void) const

 - : int left_included (void) const
 - : int right_included (void) const

 - : double left (void) const
 - : double right (void) const
 - : double width (void) const

 - : double alpha (void) const
 - : double beta (void) const

 - : ColumnVector roots (void)
 - : ColumnVector quad (void)
 - : ColumnVector quad_weights (void)

 - : Matrix first (void)
 - : Matrix second (void)

 - : ostream& operator << (ostream &OS, const CollocWt &C)


File: liboct,  Node: Ordinary Differential Equations,  Next: Installation,  Prev: Quadrature,  Up: Top

Ordinary Differential Equations
*******************************

 - :  ODE_options (void)
 - :  ODE_options (const ODE_options &OPT)

 - : ODE_options& operator = (const ODE_options &OPT)

 - : void init (void)

 - : void copy (const ODE_options &OPT)

 - : void set_default_options (void)

 - : void set_absolute_tolerance (double VAL)

 - : void set_initial_step_size (double VAL)

 - : void set_maximum_step_size (double VAL)

 - : void set_minimum_step_size (double VAL)

 - : void set_relative_tolerance (double VAL)

 - : double absolute_tolerance (void)
 - : double initial_step_size (void)
 - : double maximum_step_size (void)
 - : double minimum_step_size (void)
 - : double relative_tolerance (void)

 - :  ODE (void)
 - :  ODE (int N)
 - :  ODE (const ColumnVector &STATE, double TIME, const ODEFunc &F)

 - : virtual int size (void) const

 - : virtual ColumnVector state (void) const

 - : virtual double time (void) const

 - : virtual void force_restart (void)

 - : virtual void initialize (const ColumnVector &X, double T)

 - : virtual void set_stop_time (double T)

 - : virtual void clear_stop_time (void)

 - : virtual ColumnVector integrate (double T)

 - : void integrate (int NSTEPS, double TSTEP, ostream &S)

 - : Matrix integrate (const ColumnVector &TOUT)
 - : Matrix integrate (const ColumnVector &TOUT, const ColumnVector
          &TCRIT)


File: liboct,  Node: Differential Algebraic Equations,  Prev: Ordinary Differential Equations

Differential Algebraic Equations
********************************

 - :  DAE (void)
 - :  DAE (int N)
 - :  DAE (const ColumnVector &X, double TIME, DAEFunc &F)
 - :  DAE (const ColumnVector &X, ColumnVector &XDOT, double TIME,
          DAEFunc &F)

 - : ColumnVector deriv (void)

 - : virtual void initialize (const ColumnVector &X, double T)
 - : virtual void initialize (const ColumnVector &X, ColumnVector
          &XDOT, double T)

 - : ColumnVector integrate (double T)

 - : Matrix integrate (const ColumnVector &TOUT, Matrix &XDOT_OUT)
 - : Matrix integrate (const ColumnVector &TOUT, Matrix &XDOT_OUT,
          const ColumnVector &TCRIT)


File: liboct,  Node: Error Handling

Error Handling
**************


File: liboct,  Node: Installation,  Next: Bugs,  Prev: Ordinary Differential Equations,  Up: Top

Installation
************


File: liboct,  Node: Bugs,  Next: Concept Index,  Prev: Installation,  Up: Top

Bugs
****


File: liboct,  Node: Concept Index,  Next: Function Index,  Prev: Bugs,  Up: Top

Concept Index
*************

* Menu:

* acknowledgements:                     Acknowledgements.
* arrays:                               Arrays.
* bounds:                               Bounds.
* bugs, known:                          Bugs.
* collocation weights:                  Collocation Weights.
* contributors:                         Contributors.
* copyright:                            Contributors.
* DAE:                                  Differential Algebraic Equations.
* factorizations:                       Matrix Factorizations.
* installation:                         Installation.
* installation trouble:                 Bugs.
* integration:                          Quadrature.
* introduction:                         Introduction.
* known causes of trouble:              Bugs.
* linear Constraints:                   Linear Constraints.
* matrix factorizations:                Matrix Factorizations.
* matrix manipulations:                 Matrix and Vector OPERATIONS.
* NLP:                                  Nonlinear Programming.
* nonlinear Constraints:                Nonlinear Constraints.
* nonlinear equations:                  Nonlinear Equations.
* nonlinear functions:                  Nonlinear Functions.
* nonlinear programming:                Nonlinear Programming.
* numerical integration:                Quadrature.
* objective functions:                  Objective Functions.
* ODE:                                  Ordinary Differential Equations.
* orthogonal collocation:               Collocation Weights.
* QP:                                   Quadratic Programming.
* quadratic programming:                Quadratic Programming.
* quadrature:                           Quadrature.
* ranges:                               Ranges.
* troubleshooting:                      Bugs.
* vector manipulations:                 Matrix and Vector OPERATIONS.
* warranty:                             Contributors.


File: liboct,  Node: Function Index,  Prev: Concept Index,  Up: Top

Function Index
**************

* Menu:

* ( <1>:                                Matrix Factorizations.
* ( <2>:                                Constructors and Assignment.
* ( <3>:                                Quadrature.
* ( <4>:                                Matrix Factorizations.
* ( <5>:                                Constructors and Assignment.
* ( <6>:                                Quadrature.
* ( <7>:                                Constructors and Assignment.
* (:                                    Matrix Factorizations.
* absolute_tolerance <1>:               Ordinary Differential Equations.
* absolute_tolerance:                   Quadrature.
* add_left:                             Collocation Weights.
* add_right:                            Collocation Weights.
* AEPBALANCE:                           Matrix Factorizations.
* all:                                  Matrix and Vector OPERATIONS.
* alpha:                                Collocation Weights.
* any:                                  Matrix and Vector OPERATIONS.
* append:                               Matrix and Vector OPERATIONS.
* Array2:                               Constructors and Assignment.
* Array<T>::Array:                      Constructors and Assignment.
* Array<T>::capacity:                   Constructors and Assignment.
* Array<T>::checkelem:                  Constructors and Assignment.
* Array<T>::data:                       Constructors and Assignment.
* Array<T>::elem:                       Constructors and Assignment.
* Array<T>::length:                     Constructors and Assignment.
* Array<T>::operator:                   Constructors and Assignment.
* Array<T>::operator ():                Constructors and Assignment.
* Array<T>::operator =:                 Constructors and Assignment.
* Array<T>::resize:                     Constructors and Assignment.
* Array<T>::xelem:                      Constructors and Assignment.
* balanced_a_matrix:                    Matrix Factorizations.
* balanced_b_matrix:                    Matrix Factorizations.
* balanced_matrix:                      Matrix Factorizations.
* balancing_matrix:                     Matrix Factorizations.
* base:                                 Ranges.
* beta:                                 Collocation Weights.
* Bounds:                               Bounds.
* central_difference_interval:          Nonlinear Programming.
* checkelem:                            Constructors and Assignment.
* CHOL:                                 Matrix Factorizations.
* chol_matrix:                          Matrix Factorizations.
* clear_stop_time:                      Ordinary Differential Equations.
* coefficient:                          Matrix Factorizations.
* CollocWt:                             Collocation Weights.
* cols:                                 Constructors and Assignment.
* column:                               Matrix and Vector OPERATIONS.
* columns:                              Constructors and Assignment.
* ColumnVector:                         Matrix and Vector OPERATIONS.
* column_max:                           Matrix and Vector OPERATIONS.
* column_max_loc:                       Matrix and Vector OPERATIONS.
* column_min:                           Matrix and Vector OPERATIONS.
* column_min_loc:                       Matrix and Vector OPERATIONS.
* ComplexCHOL:                          Matrix Factorizations.
* ComplexColumnVector:                  Matrix and Vector OPERATIONS.
* ComplexDET:                           Matrix Factorizations.
* ComplexDiagMatrix:                    Matrix and Vector OPERATIONS.
* ComplexHESS:                          Matrix Factorizations.
* ComplexLU:                            Matrix Factorizations.
* ComplexMatrix:                        Matrix and Vector OPERATIONS.
* ComplexQR:                            Matrix Factorizations.
* ComplexRowVector:                     Matrix and Vector OPERATIONS.
* ComplexSCHUR:                         Matrix Factorizations.
* ComplexSVD:                           Matrix Factorizations.
* conj:                                 Matrix and Vector OPERATIONS.
* constraint_matrix:                    Linear Constraints.
* copy <1>:                             Nonlinear Equations.
* copy <2>:                             Ordinary Differential Equations.
* copy <3>:                             Quadratic Programming.
* copy <4>:                             Quadrature.
* copy:                                 Nonlinear Programming.
* crash_tolerance:                      Nonlinear Programming.
* cumprod:                              Matrix and Vector OPERATIONS.
* cumsum:                               Matrix and Vector OPERATIONS.
* DAE:                                  Differential Algebraic Equations.
* DefQuad:                              Quadrature.
* delete_left:                          Collocation Weights.
* delete_right:                         Collocation Weights.
* deriv:                                Differential Algebraic Equations.
* derivative_level:                     Nonlinear Programming.
* DET:                                  Matrix Factorizations.
* determinant:                          Matrix and Vector OPERATIONS.
* diag:                                 Matrix and Vector OPERATIONS.
* DiagArray:                            Constructors and Assignment.
* DiagMatrix:                           Matrix and Vector OPERATIONS.
* difference_interval:                  Nonlinear Programming.
* dim1:                                 Constructors and Assignment.
* dim2:                                 Constructors and Assignment.
* dim3:                                 Constructors and Assignment.
* EIG:                                  Matrix Factorizations.
* eigenvalues:                          Matrix Factorizations.
* eigenvectors:                         Matrix Factorizations.
* elem:                                 Constructors and Assignment.
* eq_constraint_matrix:                 Linear Constraints.
* eq_constraint_vector:                 Linear Constraints.
* exponent:                             Matrix Factorizations.
* extract:                              Matrix and Vector OPERATIONS.
* feasibility_tolerance:                Quadratic Programming.
* fill:                                 Matrix and Vector OPERATIONS.
* first:                                Collocation Weights.
* force_restart:                        Ordinary Differential Equations.
* fourier:                              Matrix and Vector OPERATIONS.
* function:                             Nonlinear Functions.
* function_precision:                   Nonlinear Programming.
* GEPBALANCE:                           Matrix Factorizations.
* gradient_function:                    Objective Functions.
* HESS:                                 Matrix Factorizations.
* hess_matrix:                          Matrix Factorizations.
* ifourier:                             Matrix and Vector OPERATIONS.
* imag:                                 Matrix and Vector OPERATIONS.
* inc:                                  Ranges.
* IndefQuad:                            Quadrature.
* ineq_constraint_matrix:               Linear Constraints.
* ineq_constraint_vector:               Linear Constraints.
* infinite_bound <1>:                   Nonlinear Programming.
* infinite_bound:                       Quadratic Programming.
* infinite_step:                        Nonlinear Programming.
* init <1>:                             Nonlinear Programming.
* init <2>:                             Nonlinear Equations.
* init <3>:                             Quadrature.
* init <4>:                             Quadratic Programming.
* init:                                 Ordinary Differential Equations.
* initialize <1>:                       Differential Algebraic Equations.
* initialize <2>:                       Ordinary Differential Equations.
* initialize:                           Differential Algebraic Equations.
* initial_step_size:                    Ordinary Differential Equations.
* insert:                               Matrix and Vector OPERATIONS.
* integrate <1>:                        Quadrature.
* integrate <2>:                        Differential Algebraic Equations.
* integrate <3>:                        Quadrature.
* integrate <4>:                        Ordinary Differential Equations.
* integrate <5>:                        Differential Algebraic Equations.
* integrate <6>:                        Quadrature.
* integrate:                            Ordinary Differential Equations.
* inverse:                              Matrix and Vector OPERATIONS.
* iteration_limit:                      Quadratic Programming.
* jacobian_function:                    Nonlinear Functions.
* L:                                    Matrix Factorizations.
* left:                                 Collocation Weights.
* left_balancing_matrix:                Matrix Factorizations.
* left_included:                        Collocation Weights.
* left_singular_matrix:                 Matrix Factorizations.
* limit:                                Ranges.
* LinConst:                             Linear Constraints.
* linear_feasibility_tolerance:         Nonlinear Programming.
* linesearch_tolerance:                 Nonlinear Programming.
* lower_bound:                          Bounds.
* lower_bounds:                         Bounds.
* lssolve:                              Matrix and Vector OPERATIONS.
* LU:                                   Matrix Factorizations.
* major_iteration_limit:                Nonlinear Programming.
* major_print_level:                    Nonlinear Programming.
* map:                                  Matrix and Vector OPERATIONS.
* Matrix:                               Matrix and Vector OPERATIONS.
* max <1>:                              Matrix and Vector OPERATIONS.
* max <2>:                              Ranges.
* max:                                  Matrix and Vector OPERATIONS.
* maximum_step_size:                    Ordinary Differential Equations.
* min <1>:                              Matrix and Vector OPERATIONS.
* min:                                  Ranges.
* minimize <1>:                         Quadratic Programming.
* minimize <2>:                         Nonlinear Programming.
* minimize <3>:                         Quadratic Programming.
* minimize <4>:                         Nonlinear Programming.
* minimize:                             Quadratic Programming.
* minimum_step_size:                    Ordinary Differential Equations.
* minor_iteration_limit:                Nonlinear Programming.
* minor_print_level:                    Nonlinear Programming.
* ncol:                                 Collocation Weights.
* nelem:                                Ranges.
* NLConst:                              Nonlinear Constraints.
* NLEqn:                                Nonlinear Equations.
* NLEqn_options:                        Nonlinear Equations.
* NLFunc:                               Nonlinear Functions.
* NLP:                                  Nonlinear Programming.
* nonlinear_feasibility_tolerance:      Nonlinear Programming.
* NPSOL:                                Nonlinear Programming.
* NPSOL_options:                        Nonlinear Programming.
* Objective:                            Objective Functions.
* objective_function:                   Objective Functions.
* ODE:                                  Ordinary Differential Equations.
* ODE_options:                          Ordinary Differential Equations.
* operator !:                           Matrix and Vector OPERATIONS.
* operator !=:                          Matrix and Vector OPERATIONS.
* operator ():                          Constructors and Assignment.
* operator * <1>:                       Matrix and Vector OPERATIONS.
* operator * <2>:                       Constructors and Assignment.
* operator * <3>:                       Matrix and Vector OPERATIONS.
* operator * <4>:                       Constructors and Assignment.
* operator * <5>:                       Matrix and Vector OPERATIONS.
* operator * <6>:                       Constructors and Assignment.
* operator *:                           Matrix and Vector OPERATIONS.
* operator + <1>:                       Constructors and Assignment.
* operator + <2>:                       Matrix and Vector OPERATIONS.
* operator + <3>:                       Constructors and Assignment.
* operator + <4>:                       Matrix and Vector OPERATIONS.
* operator + <5>:                       Constructors and Assignment.
* operator + <6>:                       Matrix and Vector OPERATIONS.
* operator + <7>:                       Constructors and Assignment.
* operator + <8>:                       Matrix and Vector OPERATIONS.
* operator + <9>:                       Constructors and Assignment.
* operator + <10>:                      Matrix and Vector OPERATIONS.
* operator + <11>:                      Constructors and Assignment.
* operator + <12>:                      Matrix and Vector OPERATIONS.
* operator + <13>:                      Constructors and Assignment.
* operator +:                           Matrix and Vector OPERATIONS.
* operator +=:                          Matrix and Vector OPERATIONS.
* operator - <1>:                       Constructors and Assignment.
* operator - <2>:                       Matrix and Vector OPERATIONS.
* operator - <3>:                       Constructors and Assignment.
* operator - <4>:                       Matrix and Vector OPERATIONS.
* operator - <5>:                       Constructors and Assignment.
* operator - <6>:                       Matrix and Vector OPERATIONS.
* operator - <7>:                       Constructors and Assignment.
* operator - <8>:                       Matrix and Vector OPERATIONS.
* operator - <9>:                       Constructors and Assignment.
* operator - <10>:                      Matrix and Vector OPERATIONS.
* operator - <11>:                      Constructors and Assignment.
* operator - <12>:                      Matrix and Vector OPERATIONS.
* operator - <13>:                      Constructors and Assignment.
* operator -:                           Matrix and Vector OPERATIONS.
* operator -=:                          Matrix and Vector OPERATIONS.
* operator / <1>:                       Matrix and Vector OPERATIONS.
* operator / <2>:                       Constructors and Assignment.
* operator / <3>:                       Matrix and Vector OPERATIONS.
* operator / <4>:                       Constructors and Assignment.
* operator / <5>:                       Matrix and Vector OPERATIONS.
* operator / <6>:                       Constructors and Assignment.
* operator / <7>:                       Matrix and Vector OPERATIONS.
* operator / <8>:                       Constructors and Assignment.
* operator /:                           Matrix and Vector OPERATIONS.
* operator << <1>:                      Matrix Factorizations.
* operator << <2>:                      Matrix and Vector OPERATIONS.
* operator << <3>:                      Ranges.
* operator << <4>:                      Matrix and Vector OPERATIONS.
* operator << <5>:                      Matrix Factorizations.
* operator << <6>:                      Matrix and Vector OPERATIONS.
* operator << <7>:                      Collocation Weights.
* operator << <8>:                      Matrix Factorizations.
* operator << <9>:                      Matrix and Vector OPERATIONS.
* operator << <10>:                     Matrix Factorizations.
* operator << <11>:                     Matrix and Vector OPERATIONS.
* operator << <12>:                     Matrix Factorizations.
* operator << <13>:                     Linear Constraints.
* operator << <14>:                     Matrix Factorizations.
* operator << <15>:                     Bounds.
* operator << <16>:                     Matrix and Vector OPERATIONS.
* operator << <17>:                     Matrix Factorizations.
* operator <<:                          Matrix and Vector OPERATIONS.
* operator = <1>:                       Matrix Factorizations.
* operator = <2>:                       Matrix and Vector OPERATIONS.
* operator = <3>:                       Matrix Factorizations.
* operator = <4>:                       Matrix and Vector OPERATIONS.
* operator = <5>:                       Ordinary Differential Equations.
* operator = <6>:                       Matrix Factorizations.
* operator = <7>:                       Matrix and Vector OPERATIONS.
* operator = <8>:                       Matrix Factorizations.
* operator = <9>:                       Matrix and Vector OPERATIONS.
* operator = <10>:                      Matrix Factorizations.
* operator = <11>:                      Bounds.
* operator = <12>:                      Matrix Factorizations.
* operator = <13>:                      Quadratic Programming.
* operator = <14>:                      Matrix and Vector OPERATIONS.
* operator = <15>:                      Nonlinear Programming.
* operator = <16>:                      Linear Constraints.
* operator = <17>:                      Matrix Factorizations.
* operator = <18>:                      Quadratic Programming.
* operator = <19>:                      Nonlinear Constraints.
* operator = <20>:                      Nonlinear Functions.
* operator = <21>:                      Constructors and Assignment.
* operator = <22>:                      Matrix and Vector OPERATIONS.
* operator = <23>:                      Matrix Factorizations.
* operator = <24>:                      Collocation Weights.
* operator = <25>:                      Constructors and Assignment.
* operator = <26>:                      Quadrature.
* operator = <27>:                      Matrix Factorizations.
* operator = <28>:                      Matrix and Vector OPERATIONS.
* operator = <29>:                      Matrix Factorizations.
* operator = <30>:                      Nonlinear Equations.
* operator = <31>:                      Objective Functions.
* operator = <32>:                      Nonlinear Equations.
* operator =:                           Matrix and Vector OPERATIONS.
* operator ==:                          Matrix and Vector OPERATIONS.
* operator >> <1>:                      Matrix and Vector OPERATIONS.
* operator >>:                          Ranges.
* optimality_tolerance:                 Nonlinear Programming.
* P:                                    Matrix Factorizations.
* print_level:                          Quadratic Programming.
* print_range:                          Ranges.
* prod:                                 Matrix and Vector OPERATIONS.
* product <1>:                          Matrix and Vector OPERATIONS.
* product <2>:                          Constructors and Assignment.
* product <3>:                          Matrix and Vector OPERATIONS.
* product <4>:                          Constructors and Assignment.
* product:                              Matrix and Vector OPERATIONS.
* Q:                                    Matrix Factorizations.
* QP:                                   Quadratic Programming.
* QPSOL:                                Quadratic Programming.
* QPSOL_options:                        Quadratic Programming.
* QR:                                   Matrix Factorizations.
* quad:                                 Collocation Weights.
* Quad:                                 Quadrature.
* quad_weights:                         Collocation Weights.
* quotient <1>:                         Matrix and Vector OPERATIONS.
* quotient <2>:                         Constructors and Assignment.
* quotient:                             Matrix and Vector OPERATIONS.
* R:                                    Matrix Factorizations.
* Range:                                Ranges.
* real:                                 Matrix and Vector OPERATIONS.
* relative_tolerance <1>:               Quadrature.
* relative_tolerance:                   Ordinary Differential Equations.
* resize <1>:                           Bounds.
* resize <2>:                           Constructors and Assignment.
* resize <3>:                           Nonlinear Equations.
* resize <4>:                           Collocation Weights.
* resize <5>:                           Constructors and Assignment.
* resize <6>:                           Linear Constraints.
* resize:                               Constructors and Assignment.
* right:                                Collocation Weights.
* right_balancing_matrix:               Matrix Factorizations.
* right_included:                       Collocation Weights.
* right_singular_matrix:                Matrix Factorizations.
* roots:                                Collocation Weights.
* row:                                  Matrix and Vector OPERATIONS.
* rows:                                 Constructors and Assignment.
* RowVector:                            Matrix and Vector OPERATIONS.
* row_max:                              Matrix and Vector OPERATIONS.
* row_max_loc:                          Matrix and Vector OPERATIONS.
* row_min:                              Matrix and Vector OPERATIONS.
* row_min_loc:                          Matrix and Vector OPERATIONS.
* SCHUR:                                Matrix Factorizations.
* schur_matrix:                         Matrix Factorizations.
* second:                               Collocation Weights.
* set_absolute_tolerance <1>:           Ordinary Differential Equations.
* set_absolute_tolerance:               Quadrature.
* set_alpha:                            Collocation Weights.
* set_base:                             Ranges.
* set_beta:                             Collocation Weights.
* set_bound:                            Bounds.
* set_bounds:                           Bounds.
* set_central_difference_interval:      Nonlinear Programming.
* set_constraint_matrix:                Linear Constraints.
* set_crash_tolerance:                  Nonlinear Programming.
* set_default_options <1>:              Quadratic Programming.
* set_default_options <2>:              Ordinary Differential Equations.
* set_default_options <3>:              Quadrature.
* set_default_options <4>:              Nonlinear Equations.
* set_default_options:                  Nonlinear Programming.
* set_derivative_level:                 Nonlinear Programming.
* set_difference_interval:              Nonlinear Programming.
* set_feasibility_tolerance:            Quadratic Programming.
* set_function:                         Nonlinear Functions.
* set_function_precision:               Nonlinear Programming.
* set_gradient_function:                Objective Functions.
* set_inc:                              Ranges.
* set_infinite_bound <1>:               Nonlinear Programming.
* set_infinite_bound:                   Quadratic Programming.
* set_infinite_step:                    Nonlinear Programming.
* set_initial_step_size:                Ordinary Differential Equations.
* set_iteration_limit:                  Quadratic Programming.
* set_jacobian_function:                Nonlinear Functions.
* set_left:                             Collocation Weights.
* set_limit:                            Ranges.
* set_linear_feasibility_tolerance:     Nonlinear Programming.
* set_linesearch_tolerance:             Nonlinear Programming.
* set_lower_bound:                      Bounds.
* set_lower_bounds:                     Bounds.
* set_major_iteration_limit:            Nonlinear Programming.
* set_major_print_level:                Nonlinear Programming.
* set_maximum_step_size:                Ordinary Differential Equations.
* set_minimum_step_size:                Ordinary Differential Equations.
* set_minor_iteration_limit:            Nonlinear Programming.
* set_minor_print_level:                Nonlinear Programming.
* set_nonlinear_feasibility_tolerance:  Nonlinear Programming.
* set_objective_function:               Objective Functions.
* set_optimality_tolerance:             Nonlinear Programming.
* set_print_level:                      Quadratic Programming.
* set_relative_tolerance <1>:           Quadrature.
* set_relative_tolerance:               Ordinary Differential Equations.
* set_right:                            Collocation Weights.
* set_start_constraint_check:           Nonlinear Programming.
* set_start_objective_check:            Nonlinear Programming.
* set_states:                           Nonlinear Equations.
* set_stop_constraint_check:            Nonlinear Programming.
* set_stop_objective_check:             Nonlinear Programming.
* set_stop_time:                        Ordinary Differential Equations.
* set_tolerance:                        Nonlinear Equations.
* set_upper_bound:                      Bounds.
* set_upper_bounds:                     Bounds.
* set_verify_level:                     Nonlinear Programming.
* singular_values:                      Matrix Factorizations.
* size <1>:                             Ordinary Differential Equations.
* size <2>:                             Bounds.
* size <3>:                             Nonlinear Equations.
* size:                                 Nonlinear Programming.
* solve <1>:                            Matrix and Vector OPERATIONS.
* solve <2>:                            Nonlinear Equations.
* solve <3>:                            Matrix and Vector OPERATIONS.
* solve <4>:                            Nonlinear Equations.
* solve:                                Matrix and Vector OPERATIONS.
* sort:                                 Ranges.
* stack:                                Matrix and Vector OPERATIONS.
* start_constraint_check:               Nonlinear Programming.
* start_objective_check:                Nonlinear Programming.
* state:                                Ordinary Differential Equations.
* states:                               Nonlinear Equations.
* stop_constraint_check:                Nonlinear Programming.
* stop_objective_check:                 Nonlinear Programming.
* sum:                                  Matrix and Vector OPERATIONS.
* sumsq:                                Matrix and Vector OPERATIONS.
* SVD:                                  Matrix Factorizations.
* time:                                 Ordinary Differential Equations.
* tolerance:                            Nonlinear Equations.
* transpose:                            Matrix and Vector OPERATIONS.
* U:                                    Matrix Factorizations.
* unitary_hess_matrix:                  Matrix Factorizations.
* unitary_matrix:                       Matrix Factorizations.
* upper_bound:                          Bounds.
* upper_bounds:                         Bounds.
* value:                                Matrix Factorizations.
* value_will_overflow:                  Matrix Factorizations.
* value_will_underflow:                 Matrix Factorizations.
* verify_level:                         Nonlinear Programming.
* width:                                Collocation Weights.


