computes a B-spline basis

performs the finite Fourier transform

finds zeros of a univariate function by using a numerical root-finding method

computes the inverse finite Fourier transform

computes the first nonzero roots of a Bessel function of the first kind and the derivative of the Bessel function at each root

computes a vector or matrix norm

performs numerical integration of first-order vector differential equations with initial boundary conditions

generates orthogonal polynomials on a discrete set of data

provides columnwise orthogonalization by the Gram-Schmidt process and stepwise QR decomposition by the Gram-Schmidt process

finds zeros of a real polynomial

multiplies matrices of polynomials

performs numerical integration of scalar functions in one dimension over infinite, connected semi-infinite, and connected finite intervals

divides matrix polynomials

fits a cubic spline to data

fits a cubic spline to data and returns the spline coefficients

evaluates a cubic spline at new data points

computes thin-plate smoothing splines

evaluates the thin-plate smoothing spline at new data points