Package com.imsl.math

Interface Summary

BoundedLeastSquares.Function	Public interface for the user-supplied function to evaluate the function that defines the least-squares problem.
BoundedLeastSquares.Jacobian	Public interface for the user-supplied function to compute the Jacobian.
HyperRectangleQuadrature.Function	Public interface function for the HyperRectangleQuadrature class.
MinConGenLin.Function	Public interface for the user-supplied function to evaluate the function to be minimized.
MinConGenLin.Gradient	Public interface for the user-supplied function to compute the gradient.
MinConNLP.Function	Public interface for the user supplied function to the MinConNLP object.
MinConNLP.Gradient	Public interface for the user supplied function to compute the gradient for MinConNLP object.
MinConNonlin.Function	Public interface for the user supplied function to the MinConNonlin object.
MinConNonlin.Gradient	Public interface for the user supplied function to MinConNonlin object.
MinUncon.Derivative	Public interface for the user supplied function to the MinUncon object.
MinUncon.Function	Public interface for the user supplied function to the MinUncon object.
MinUnconMultiVar.Function	Public interface for the user supplied function to the MinUnconMultiVar object.
MinUnconMultiVar.Gradient	Public interface for the user supplied gradient to the MinUnconMultiVar object.
NonlinLeastSquares.Function	Public interface for the user supplied function to the NonlinLeastSquares object.
NonlinLeastSquares.Jacobian	Public interface for the user supplied function to the NonlinLeastSquares object.
OdeRungeKutta.Function	Public interface for user supplied function to OdeRungeKutta object.
Quadrature.Function	Public interface function for the Quadrature class.
RadialBasis.Function	Public interface for the user supplied function to the RadialBasis object.
ZeroFunction.Function	Public interface for the user supplied function to ZeroFunction.
ZeroSystem.Function	Public interface for user supplied function to ZeroSystem object.
ZeroSystem.Jacobian	Public interface for user supplied function to ZeroSystem object.

Class Summary

Bessel	Collection of Bessel functions.
BoundedLeastSquares	Solves a nonlinear least-squares problem subject to bounds on the variables using a modified Levenberg-Marquardt algorithm.
BsInterpolate	Extension of the BSpline class to interpolate data points.
BsLeastSquares	Extension of the BSpline class to compute a least squares spline approximation to data points.
BSpline	BSpline represents and evaluates univariate B-splines.
Cholesky	Cholesky factorization of a matrix of type double.
Complex	Set of mathematical functions for complex numbers.
ComplexFFT	Complex FFT.
ComplexLU	LU factorization of a matrix of type Complex.
ComplexMatrix	Complex matrix manipulation functions.
CsAkima	Extension of the Spline class to handle the Akima cubic spline.
CsInterpolate	Extension of the Spline class to interpolate data points.
CsPeriodic	Extension of the Spline class to interpolate data points with periodic boundary conditions.
CsShape	Extension of the Spline class to interpolate data points consistent with the concavity of the data.
CsSmooth	Extension of the Spline class to construct a smooth cubic spline from noisy data points.
CsSmoothC2	Extension of the Spline class used to construct a spline for noisy data points using an alternate method.
DenseLP	Solves a linear programming problem using an active set strategy.
Eigen	Collection of Eigen System functions.
EpsilonAlgorithm	The class is used to determine the limit of a sequence of approximations, by means of the Epsilon algorithm of P.
FFT	FFT functions.
Hyperbolic	Pure Java implementation of the hyperbolic functions and their inverses.
HyperRectangleQuadrature	HyperRectangleQuadrature integrates a function over a hypercube.
IEEE	Pure Java implementation of the IEEE 754 functions as specified in IEEE Standard for Binary Floating-Point Arithmetic, ANSI/IEEE Standard 754-1985 (IEEE, New York).
JMath	Pure Java implementation of the standard java.lang.Math class.
LinearProgramming	Linear programming problem using the revised simplex algorithm.
LU	LU factorization of a matrix of type double.
Matrix	Matrix manipulation functions.
MinConGenLin	Minimizes a general objective function subject to linear equality/inequality constraints.
MinConNLP	General nonlinear programming solver.
MinConNLP.Formatter	Simple formatter for MinConNLP logging
MinUncon	Unconstrained minimization.
MinUnconMultiVar	Unconstrained multivariate minimization.
NonlinLeastSquares	Nonlinear least squares.
OdeRungeKutta	Solves an initial-value problem for ordinary differential equations using the Runge-Kutta-Verner fifth-order and sixth-order method.
Physical	Return the value of various mathematical and physical constants.
PrintMatrix	Matrix printing utilities.
PrintMatrixFormat	This class can be used to customize the actions of PrintMatrix.
QR	QR Decomposition of a matrix.
QuadraticProgramming	Solves the convex quadratic programming problem subject to equality or inequality constraints.
Quadrature	Quadrature is a general-purpose integrator that uses a globally adaptive scheme in order to reduce the absolute error.
RadialBasis	RadialBasis computes a least-squares fit to scattered data in , where d is the dimension.
RadialBasis.Gaussian	The Gaussian basis function, .
RadialBasis.HardyMultiquadric	The Hardy multiquadric basis function, .
Sfun	Collection of special functions.
Spline	Spline represents and evaluates univariate piecewise polynomial splines.
SVD	Singular Value Decomposition (SVD) of a rectangular matrix of type double.
SymEigen	Computes the eigenvalues and eigenvectors of a real symmetric matrix.
ZeroFunction	Muller's method to find the zeros of a univariate function, f(x).
ZeroPolynomial	The ZeroPolynomial class computes the zeros of a polynomial with complex coefficients, Aberth's method.
ZeroSystem	Solves a system of n nonlinear equations f(x) = 0 using a modified Powell hybrid algorithm.

Exception Summary

BoundedLeastSquares.FalseConvergenceException	False convergence - The iterates appear to be converging to a noncritical point.
Cholesky.NotSPDException	The matrix is not symmetric, positive definite.
CsShape.TooManyIterationsException	Too many iterations.
DenseLP.BoundsInconsistentException	The bounds given are inconsistent.
DenseLP.NoAcceptablePivotException	No acceptable pivot could be found.
DenseLP.ProblemUnboundedException	The problem is unbounded.
Eigen.DidNotConvergeException	The iteration did not converge
LinearProgramming.BoundsInconsistentException	The bounds given are inconsistent.
LinearProgramming.NumericDifficultyException	Numerical difficulty occurred.
LinearProgramming.ProblemInfeasibleException	The problem is not feasible.
LinearProgramming.ProblemUnboundedException	The problem is unbounded.
MinConGenLin.ConstraintsInconsistentException	The equality constraints are inconsistent.
MinConGenLin.ConstraintsNotSatisfiedException	No vector x satisfies all of the constraints.
MinConGenLin.EqualityConstraintsException	the variables are determined by the equality constraints.
MinConGenLin.VarBoundsInconsistentException	The equality constraints and the bounds on the variables are found to be inconsistent.
MinConNLP.BadInitialGuessException	Penalty function point infeasible for original problem.
MinConNLP.ConstraintEvaluationException	Constraint evaluation returns an error with current point.
MinConNLP.IllConditionedException	Problem is singular or ill-conditioned.
MinConNLP.LimitingAccuracyException	Limiting accuracy reached for a singular problem.
MinConNLP.LinearlyDependentGradientsException	Working set gradients are linearly dependent.
MinConNLP.NoAcceptableStepsizeException	No acceptable stepsize in [SIGMA,SIGLA].
MinConNLP.ObjectiveEvaluationException	Objective evaluation returns an error with current point.
MinConNLP.PenaltyFunctionPointInfeasibleException	Penalty function point infeasible.
MinConNLP.QPInfeasibleException	QP problem seemingly infeasible.
MinConNLP.SingularException	Problem is singular.
MinConNLP.TerminationCriteriaNotSatisfiedException	Termination criteria are not satisfied.
MinConNLP.TooManyIterationsException	Maximum number of iterations exceeded.
MinConNLP.TooMuchTimeException	Maximum time allowed for solve exceeded.
MinConNLP.WorkingSetSingularException	Working set is singular in dual extended QP.
MinConNonlin.LineSearchException	The line search used more than 5 function calls, therefore it has been declared unsuccessful.
MinConNonlin.QPConstraintsException	The constraints for the QP subproblem are inconsistent.
MinConNonlin.TooManyIterationsException	Maximum number of iterations exceeded.
MinConNonlin.UphillSearchCalcException	The algorithm calculated an uphill search direction.
MinConNonlin.ZeroSearchDirectionException	The search direction is close to zero.
MinUnconMultiVar.ApproximateMinimumException	Scaled step tolerance satisfied; the current point may be an approximate local solution, or the algorithm is making very slow progress and is not near a solution, or the scaled step tolerance is too big.
MinUnconMultiVar.FalseConvergenceException	False convergence error; the iterates appear to be converging to a noncritical point.
MinUnconMultiVar.MaxIterationsException	Maximum number of iterations exceeded.
MinUnconMultiVar.UnboundedBelowException	Five consecutive steps of the maximum allowable stepsize have been taken, either the function is unbounded below, or has a finite asymptote in some direction or the maximum allowable step size is too small.
NonlinLeastSquares.FalseConvergenceException	The iterates appear to be converging to a non-critical point.
NonlinLeastSquares.RelativeFunctionConvergenceException	The scaled and predicted reductions in the function are less than or equal to the relative function convergence tolerance.
NonlinLeastSquares.StepMaxException	Either the function is unbounded below, has a finite asymptote in some direction, or the maximum stepsize is too small.
NonlinLeastSquares.StepToleranceException	Various possible errors involving the step tolerance.
NonlinLeastSquares.TooManyIterationsException	Too many iterations.
OdeRungeKutta.DidNotConvergeException	The iteration did not converge.
OdeRungeKutta.ToleranceTooSmallException	Tolerance is too small.
QuadraticProgramming.InconsistentSystemException	Inconsistent system.
SingularMatrixException	The matrix is singular.
SVD.DidNotConvergeException	The iteration did not converge
ZeroPolynomial.DidNotConvergeException	The iteration did not converge
ZeroSystem.DidNotConvergeException	The iteration did not converge.
ZeroSystem.ToleranceTooSmallException	Tolerance too small
ZeroSystem.TooManyIterationsException	Too many iterations.