Solves a nonlinear least squares problem subject to bounds on the variables using a modified Levenberg-Marquardt algorithm and a finite-difference Jacobian.

Solves a nonlinear least squares problem subject to bounds on the variables using a modified Levenberg-Marquardt algorithm and a user-supplied Jacobian.

Solves a nonlinear least-squares problem subject to bounds on the variables and general linear constraints.

Minimizes a function of N variables subject to bounds the variables using a modified Newton method and a user-supplied Hessian.

Minimizes a function of N variables subject to bounds the variables using a modified Newton method and a finite-difference Hessian.

Minimizes a function of N variables subject to bounds the variables using a quasi-Newton method and a finite-difference gradient.

Minimizes a function of N variables subject to bounds the variables using a quasi-Newton method and a user-supplied gradient.

Minimizes a function of N variables subject to bounds the variables using a direct search complex algorithm.

Computes the bilinear form xTAy.

Evaluates the derivative of a spline on a grid, given its B-spline representation.

Evaluates the derivative of a two-dimensional tensor-product spline, given its tensor-product B-spline representation.

Evaluates the derivative of a two-dimensional tensor-product spline, given its tensor-product B-spline representation on a grid.

Evaluates the integral of a tensor-product spline on a rectangular domain, given its tensor-product B-spline representation.

Computes a two-dimensional tensor-product spline interpolant, returning the tensor-product B-spline coefficients.

Evaluates a two-dimensional tensor-product spline, given its tensor-product B-spline representation.

Evaluates the derivative of a three-dimensional tensor-product spline, given its tensor-product B-spline representation.

Evaluates the derivative of a three-dimensional tensor-product spline, given its tensor-product B-spline representation on a grid.

Evaluates the integral of a tensor-product spline in three dimensions over a three-dimensional rectangle, given its tensorproduct B-spline representation.

Computes a three-dimensional tensor-product spline interpolant, returning the tensor-product B-spline coefficients.

Evaluates a three-dimensional tensor-product spline, given its tensor-product B-spline representation

Converts a spline in B-spline representation to piecewise polynomial representation.

Evaluates the derivative of a spline, given its B-spline representation.

Computes the spline interpolant, returning the B-spline coefficients.

Evaluates the integral of a spline, given its B-spline representation.

Computes a two-dimensional tensor-product spline approximant using least squares, returning the tensor-product B-spline coefficients.

Computes a three-dimensional tensor-product spline approximant using least squares, returning the tensor-product B-spline coefficients.

Computes the least-squares spline approximation, and return the B-spline coefficients.

Computes the ‘not-a-knot’ spline knot sequence.

Computes the ‘optimal’ spline knot sequence.

Evaluates a spline, given its B-spline representation.

Computes the variable knot B-spline least squares approximation to given data.

Solves a (parameterized) system of differential equations with boundary conditions at two points, using a variable order, variable step size finite-difference method with deferred corrections.

Solves a (parameterized) system of differential equations with boundary conditions at two points, using a multiple-shooting method.