B
Function
Purpose Statement
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.