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   Copyright (C) 1996, 1997 John W. Eaton.

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manual provided the copyright notice and this permission notice are
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   Permission is granted to copy and distribute modified versions of
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File: liboct,  Node: Differential Algebraic Equations,  Next: Error Handling,  Prev: Ordinary Differential Equations,  Up: Top

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,  Next: Installation,  Prev: Differential Algebraic Equations,  Up: Top

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


File: liboct,  Node: Installation,  Next: Bugs,  Prev: Error Handling,  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.
* optimization:                          Optimization.
* 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>:                                 Quadrature.
* ( <2>:                                 Matrix Factorizations.
* ( <3>:                                 Constructors and Assignment.
* (:                                     Matrix Factorizations.
* absolute_tolerance <1>:                Quadrature.
* absolute_tolerance:                    Ordinary Differential Equations.
* 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.
* 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>:                              Ordinary Differential Equations.
* copy <2>:                              Quadrature.
* copy:                                  Nonlinear Equations.
* 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.
* DET:                                   Matrix Factorizations.
* determinant:                           Matrix and Vector Operations.
* diag:                                  Matrix and Vector Operations.
* DiagArray:                             Constructors and Assignment.
* DiagMatrix:                            Matrix and Vector Operations.
* 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.
* fill:                                  Matrix and Vector Operations.
* first:                                 Collocation Weights.
* force_restart:                         Ordinary Differential Equations.
* fourier:                               Matrix and Vector Operations.
* function:                              Nonlinear Functions.
* 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.
* init <1>:                              Nonlinear Equations.
* init <2>:                              Ordinary Differential Equations.
* init:                                  Quadrature.
* initialize <1>:                        Differential Algebraic Equations.
* initialize:                            Ordinary Differential Equations.
* initial_step_size:                     Ordinary Differential Equations.
* insert:                                Matrix and Vector Operations.
* integrate <1>:                         Ordinary Differential Equations.
* integrate <2>:                         Differential Algebraic Equations.
* integrate <3>:                         Ordinary Differential Equations.
* integrate <4>:                         Quadrature.
* integrate <5>:                         Differential Algebraic Equations.
* integrate:                             Quadrature.
* inverse:                               Matrix and Vector Operations.
* 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.
* lower_bound:                           Bounds.
* lower_bounds:                          Bounds.
* lssolve:                               Matrix and Vector Operations.
* LU:                                    Matrix Factorizations.
* 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 <5>:                          Quadratic Programming.
* minimize:                              Nonlinear Programming.
* minimum_step_size:                     Ordinary Differential Equations.
* ncol:                                  Collocation Weights.
* nelem:                                 Ranges.
* NLConst:                               Nonlinear Constraints.
* NLEqn:                                 Nonlinear Equations.
* NLEqn_options:                         Nonlinear Equations.
* NLFunc:                                Nonlinear Functions.
* NLP:                                   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 * <7>:                        Matrix and Vector Operations.
* operator * <8>:                        Constructors and Assignment.
* 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 + <9>:                        Matrix and Vector Operations.
* operator + <10>:                       Constructors and Assignment.
* operator + <11>:                       Matrix and Vector Operations.
* operator + <12>:                       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 - <9>:                        Matrix and Vector Operations.
* operator - <10>:                       Constructors and Assignment.
* operator - <11>:                       Matrix and Vector Operations.
* operator - <12>:                       Constructors and Assignment.
* operator - <13>:                       Matrix and Vector Operations.
* operator - <14>:                       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 / <9>:                        Matrix and Vector Operations.
* operator / <10>:                       Constructors and Assignment.
* 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>:                       Matrix Factorizations.
* operator << <6>:                       Matrix and Vector Operations.
* operator << <7>:                       Ranges.
* operator << <8>:                       Matrix and Vector Operations.
* operator << <9>:                       Bounds.
* operator << <10>:                      Matrix Factorizations.
* operator << <11>:                      Matrix and Vector Operations.
* operator << <12>:                      Matrix Factorizations.
* operator << <13>:                      Linear Constraints.
* operator << <14>:                      Collocation Weights.
* operator << <15>:                      Matrix Factorizations.
* operator <<:                           Matrix and Vector Operations.
* operator = <1>:                        Matrix Factorizations.
* operator = <2>:                        Matrix and Vector Operations.
* operator = <3>:                        Matrix Factorizations.
* operator = <4>:                        Nonlinear Programming.
* operator = <5>:                        Matrix Factorizations.
* operator = <6>:                        Matrix and Vector Operations.
* operator = <7>:                        Matrix Factorizations.
* operator = <8>:                        Matrix and Vector Operations.
* operator = <9>:                        Matrix Factorizations.
* operator = <10>:                       Bounds.
* operator = <11>:                       Matrix Factorizations.
* operator = <12>:                       Nonlinear Constraints.
* operator = <13>:                       Linear Constraints.
* operator = <14>:                       Matrix Factorizations.
* operator = <15>:                       Matrix and Vector Operations.
* operator = <16>:                       Collocation Weights.
* operator = <17>:                       Nonlinear Equations.
* operator = <18>:                       Matrix and Vector Operations.
* operator = <19>:                       Quadrature.
* operator = <20>:                       Matrix Factorizations.
* operator = <21>:                       Ordinary Differential Equations.
* operator = <22>:                       Matrix Factorizations.
* operator = <23>:                       Constructors and Assignment.
* operator = <24>:                       Nonlinear Equations.
* operator = <25>:                       Nonlinear Functions.
* operator = <26>:                       Constructors and Assignment.
* operator = <27>:                       Objective Functions.
* operator = <28>:                       Matrix and Vector Operations.
* operator =:                            Matrix Factorizations.
* operator ==:                           Matrix and Vector Operations.
* operator >> <1>:                       Ranges.
* operator >>:                           Matrix and Vector Operations.
* P:                                     Matrix Factorizations.
* 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.
* QR:                                    Matrix Factorizations.
* Quad:                                  Quadrature.
* quad:                                  Collocation Weights.
* quad_weights:                          Collocation Weights.
* quotient <1>:                          Matrix and Vector Operations.
* quotient <2>:                          Constructors and Assignment.
* quotient <3>:                          Matrix and Vector Operations.
* quotient <4>:                          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>:                            Collocation Weights.
* resize <2>:                            Constructors and Assignment.
* resize <3>:                            Bounds.
* resize <4>:                            Constructors and Assignment.
* resize <5>:                            Linear Constraints.
* resize <6>:                            Constructors and Assignment.
* resize <7>:                            Nonlinear Equations.
* 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_constraint_matrix:                 Linear Constraints.
* set_default_options <1>:               Nonlinear Equations.
* set_default_options <2>:               Quadrature.
* set_default_options:                   Ordinary Differential Equations.
* set_function:                          Nonlinear Functions.
* set_gradient_function:                 Objective Functions.
* set_inc:                               Ranges.
* set_initial_step_size:                 Ordinary Differential Equations.
* set_jacobian_function:                 Nonlinear Functions.
* set_left:                              Collocation Weights.
* set_limit:                             Ranges.
* set_lower_bound:                       Bounds.
* set_lower_bounds:                      Bounds.
* set_maximum_step_size:                 Ordinary Differential Equations.
* set_minimum_step_size:                 Ordinary Differential Equations.
* set_objective_function:                Objective Functions.
* set_relative_tolerance <1>:            Quadrature.
* set_relative_tolerance:                Ordinary Differential Equations.
* set_right:                             Collocation Weights.
* set_states:                            Nonlinear Equations.
* set_stop_time:                         Ordinary Differential Equations.
* set_tolerance:                         Nonlinear Equations.
* set_upper_bound:                       Bounds.
* set_upper_bounds:                      Bounds.
* singular_values:                       Matrix Factorizations.
* size <1>:                              Bounds.
* size <2>:                              Nonlinear Equations.
* size <3>:                              Ordinary Differential 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.
* state:                                 Ordinary Differential Equations.
* states:                                Nonlinear Equations.
* 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.
* width:                                 Collocation Weights.


