Classes
| Class | Description | |
|---|---|---|
| ActiveSetLineSearchSQP |
Class ActiveSetLineSearchSQP solves nonlinear programming problems using a
Sequential Quadratic Programming (SQP) iterative algorithm.
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| ActiveSetLineSearchSQP..::.Options |
Contains the options available to the ActiveSetLineSearchSQP
Nonlinear Program Solver (NLP).
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| ActiveSetQPSolver |
Class ActiveSetQPSolver solves convex quadratic programming (QP) problems.
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| AnalysisFunctions |
Class AnalysisFunctions provides common generalized functions for NMath Analysis.
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| AnalysisFunctions..::.FiveParameterLogisticFtn |
Computes the 5-parameter logistic (5PL) function, using the given vector of function parameters,
at the specified point.
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| AnalysisFunctions..::.FourParameterLogisticFtn |
Computes the 4-parameter logistic (4PL) function, using the given vector of function parameters,
at the specified point.
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| AnalysisFunctions..::.ThreeParameterExponentialFtn |
Evaluates the three parameter exponential function for the given parameter values at the
given point.
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| AnalysisFunctions..::.ThreeParameterSineFtn |
Computes the three parameter sine function, using the given vector of function parameters, at the specified point.
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| AnalysisFunctions..::.TwoParameterAsymptoticFtn |
Computes the asymptotic function, using the given vector of function parameters, at the specified point.
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| AnnealingHistory |
Class AnnealingHistory encapsulates all of the data generated during a series
of steps through an annealing schedule.
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| AnnealingHistory..::.Step |
Class AnnealingHistory.Step encapsulates all of the data associated with a
step in an AnnealingHistory.
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| AnnealingMinimizer |
Class AnnealingMinimizer minimizes a multivariable function using
the simulated annealing method.
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| AnnealingScheduleBase |
Class AnnealingScheduleBase is the abstract base class for annealing schedules.
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| BoundedMultiVariableFunctionFitter<(Of <(M>)>) |
Class MultiVariableFunctionFitter< M > fits a parameterized multivariable function to a set of points where
the parameters have inequality constraints.
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| BoundedOneVariableFunctionFitter<(Of <(M>)>) |
Class BoundedOneVariableFunctionFitter fits a parameterized one variable function to a set of points,
where the functions parameters are constrained by upper and lower bounds.
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| BoxCoxTransformation |
Class BoxCoxTransformation performs a Box-Cox power transformation, which can be
used to make non-normal data resemble normally-distributed data.
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| Bracket |
Class Bracket searches in the downhill direction for two points that
bracket a minimum of a univariate function.
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| BrentMinimizer |
Class BrentMinimizer uses Brent's Method to minimize a function within an interval
known to contain a minimum.
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| CentralDifferenceHessianUpdater |
Class CentralDifferenceHessianUpdater updates the Hessian of the Lagrangian while solving a nonlinear
programming problem using a Sequential Quadratic Programming algorithm.
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| ConjugateGradientMinimizer |
Class ConjugateGradientMinimizer minimizes a multivariable function using
the Polak-Ribiere variant of the Fletcher-Reeves conjugate gradient method.
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| ConstantSQPStepSize |
Class ConstantSQPStepSize computes the step size for a Sequential Quadratic Programming solver. Simply returns
a constant step size regardless of iteration values.
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| Constraint |
Class Constraint represents a constraint in a constrained optimization
problem.
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| CustomAnnealingSchedule |
Class CustomAnnealingSchedule encapsulates a series of iterations and
temperatures.
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| DampedBFGSHessianUpdater |
Class DampedBFGSHessianUpdater updates the value of the Lagrangian Hessian based
on iterate values using a quasi-Newton approximation.
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| DBrentMinimizer |
Class DBrentMinimizer minimizes a function using Brent's method as well
as the first derivative.
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| DownhillSimplexMinimizer |
Class DownhillSimplexMinimizer minimizes a multivariable function using the downhill
simplex method of Nelder and Mead.
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| EqualityConstrainedQPProblem |
Class representing an equality constrained Quadratic Programming
problem.
Minimize 0.5 * x'Hx + x'c
Subject to
Ax = b
where x is a vector of unknows, H a symmetric matrix, and A matrix.
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| FirstOrderInitialValueProblem |
Class FirstOrderInitialValueProblem represents a first order initial
value differential equation.
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| GoldenMinimizer |
Class GoldenMinimizer performs a golden section search for a minimium of a function
within an interval known to contain a minimum.
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| L1MeritStepSize |
Class L1MeritStepSize computes the step size for a Sequential Quadratic Programming solver based on
sufficient decrease in the L1 merit function.
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| LagrangianFunction |
Class LagrangianFunction represents the Lagrangian function associated with a nonlinear programming problem.
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| LagrangianFunction..::.LagrangianGradientFunction |
Class LagrangianGradientFunction derives from DoubleMultiVariableFunction for evaluating the
gradient of the Lagrangian functions.
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| LevenbergMarquardtMinimizer |
Class for minimizing the L2 norm of a function using the Levenberg Marquardt
algorithm.
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| LevenburgMarquardtMinimizer | Obsolete.
Class for minimizing the L2 norm of a function using the Levenberg Marquardt
algorithm.
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| LinearAnnealingSchedule |
Class LinearAnnealingSchedule encapsulates the linear descent of a starting
temperature to zero. Each step has a specified number of iterations.
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| LinearConstraint |
Class LinearConstraint represents a linear constraint for a constrained optimization
problem.
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| MinimizerBase |
Class MinimizerBase is the abstract base class for classes that perform
function minimization.
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| MultiVariableFunction |
Class MultiVariableFunction represents multivariate functions.
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| MultiVariableFunctionFitter | Obsolete.
Class MultiVariableFunctionFitter fits a generalized multivariable function to a set of points.
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| MultiVariableFunctionFitter<(Of <(M>)>) |
Class MultiVariableFunctionFitter fits a generalized multivariable function to a set of points.
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| MultiVariableFunctionFitter<(Of <(M>)>)..::.ResidualFunction |
Residual function. This is the function that is minimized to produce the parameters for
the best fit.
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| NewtonRaphsonRootFinder |
Class NewtonRaphsonRootFinder finds roots of univariate functions using the
Newton-Raphson algorithm.
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| NonlinearConstraint |
Class NonlinearConstraint represents a nonlinear constraint in an optimization problem.
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| NonlinearProgrammingProblem |
Class NonlinearProgrammingProblem represents a nonlinear programming problem.
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| OdeSolverBase |
Base class for ODE solvers which use a Runge-Kutta order 5 algorithm.
Includes enums and functions for incorporating mass matrices into ODE's.
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| OdeSolverBase..::.ConstMassMatrixOdeFcn |
When solving ODE's of the form
y' = M*f(t,y)
where M is a constant "mass" matrix, this class provides a function
g(t,y) for the right hand side of the above equation which incorporates
the mass matrix M.
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| OdeSolverBase..::.MassMatrixOdeFcn |
When solving ODE's of the form
y' = M(t,y)*f(t,y)
where M is a time-state dependent "mass" matrix, this class provides a function
g(t,y) for the right hand side of the above equation which incorporates
the mass matrix function M(t,y).
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| OneVariableFunctionFitter | Obsolete.
Class OneVariableFunctionFitter fits a generalized one variable function to a set of points.
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| OneVariableFunctionFitter<(Of <(M>)>) |
Class OneVariableFunctionFitter fits a parameterized one variable function to a set of points.
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| OneVariableFunctionFitter<(Of <(M>)>)..::.CurveFitResidualFunction |
Class representing the residual function for the curve fit.
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| PolynomialLeastSquares |
Class PolynomialLeastSquares performs a least squares fit of a polynomial to
the data.
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| PowellMinimizer |
Class PowellMinimizer minimizes a multivariable function using Powell's Method.
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| QuadraticProgrammingProblem |
Class QuadraticProgrammingProblem encapsulates a quadratic programming (QP) problem.
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| RiddersRootFinder |
Class RiddersRootFinder finds roots of univariate functions using
Ridders' Method.
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| RootFinderBase |
Abstract base class for classes that perform root finding on
univariate functions.
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| RungeKutta45OdeSolver |
Class RungeKutta45OdeSolver solves an initial value, Ordinary Differential
Equation (ODE) using an explicit Runge-Kutta (4,5) formula known as the Dormand-Prince pair.
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| RungeKutta45OdeSolver..::.Options |
User settable options for RungeKutta45OdeSolver.
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| RungeKutta45OdeSolver..::.Solution<(Of <(Ytype>)>) |
Data structor contiaing solution values an statistics for an ODE
solve.
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| RungeKutta5OdeSolver |
Class RungeKutta5OdeSolver solves an initial value, Ordinary Differential
Equation (ODE) using a non-adaptive explicit Runge-Kutta formula of order 5.
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| RungeKutta5OdeSolver..::.Options |
User settable options for RungeKutta5OdeSolver.
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| RungeKuttaSolver |
Class RungeKuttaSolver solves first order initial value differential equations
by the Runge-Kutta method.
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| SecantRootFinder |
Class SecantRootFinder finds roots of univariate functions using the
secant method.
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| SequentialQuadraticProgrammingSolver |
Base class for sequential quadratic programming solvers.
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| SequentialQuadraticProgrammingSolver..::.Iteration |
Data structure containing various values for an iteration of a
Sequential Quadratic Programming algorithm.
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| SimplexLPSolver |
Class SimplexLPSolver solves linear programming problems using the simplex method.
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| SparseConstraintCoefficients |
Class implementing the ILinearConstraintCoefficients for sparse linear
constraint coefficients. Only the non-zero coefficients are stored.
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| TrustRegionMinimizer |
Class TrustRegionMinimizer solves both constrained and unconstrained nonlinear least
squares problems using the Trust Region method.
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| TwoVariableIntegrator |
Class TwoVariableIntegrator integrates functions of two variables.
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| VariableMetricMinimizer |
Class VariableMetricMinimizer uses the Broyden-Fletcher-Goldfarb-Shanno variable
metric algorithm to minimize multivariable functions.
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Interfaces
| Interface | Description | |
|---|---|---|
| IBoundedNonlinearLeastSqMinimizer |
Interface for nonlinear least squares minimizer where the solution
is constrained by upper and lower bounds.
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| ILinearConstraintCoefficients |
Interface for the coefficients for a linear constraint in a non-linear optimization
problem. The interface is an abstraction of a vector of real numbers representing the
coefficients of a linear constraint and thus defines the indexer property
[int index]. This interface allows for both sparse and dense implementations.
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| IMultiVariableDMinimizer |
Interface for classes that perform minimization of multivariate functions
using derivative information.
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| IMultiVariableMinimizer |
Interface for classes that perform minimization of multivariate functions.
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| INonlinearLeastSqMinimizer |
Interface for nonlinear least squares minimizer.
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| IOneVariableDMinimizer |
Interface for classes that perform minimization of univariate functions
using derivative information.
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| IOneVariableDRootFinder |
Interface for classes that find roots of univariate functions using
derivative information.
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| IOneVariableMinimizer |
Interface for classes that perform minimization of univariate functions.
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| IOneVariableRootFinder |
Interface for classes that find roots of univariate functions using
only function evaluations.
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| SequentialQuadraticProgrammingSolver..::.ILagrangianHessianUpdater |
Interface for classes which provide a method for obtaining the updated value of the Hessian
of the Lagrangian based on the current iteration data for a Sequentail Quadratic
Programming algorithm.
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| SequentialQuadraticProgrammingSolver..::.IStepSizeCalculator |
Computes a step size alphak for performing the update
xk+1 = xk + alphak*pk, where pk is the step direction
vector.
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Delegates
| Delegate | Description | |
|---|---|---|
| TrustRegionFunction | Functor that takes a pointer to an array of doubles, and returns a pointer to an array of doubles.
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Enumerations
| Enumeration | Description | |
|---|---|---|
| ActiveSetLineSearchSQP..::.TerminationStatus |
Enum for possible algorithm termination reasons.
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| ActiveSetQPSolver..::.AlgorithmStatus |
Enum whose value indicate the status of the solution.
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| ConstraintType |
Enumeration for specifying constraint types possible for the Constraint
class and other constrained optimization classes.>
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| OdeSolverBase..::.OutputFunctionFlag |
Output functions are functions supplied by the user to derived ODE
solvers. These functions are called by solver during
1. Initialization. Before the first integration step is performed.
2. After each integration step.
3. When the solver is complete.
Output functions are called with an OutputFunctionFlag parameter
indicating under which of the above conditions it is being invoked.
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| RungeKuttaSolver..::.SolverOrder |
Enum for specifying the order of the Runge-Kutta method.
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| SimplexLPSolver..::.SolutionStatus |
Enumeration for specifying the status of a solution to a linear programming problem.
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| TrustRegionMinimizer..::.Criterion |
Enumeration for specifying the stop criterion.
|