inprod.cent {ctmva} R Documentation

## Centered inner product matrix for a basis or pair of bases

### Description

Most methods of continous-time multivariate analysis require a matrix of inner products of pairs of functions from a basis, such as a B-spline basis, or pairs consisting of one function from each of two bases. This function computes such matrices via 7-point Newton-Cotes integration, which is exact for cubic B-splines.

### Usage

inprod.cent(basis1, basis2 = basis1, rng = NULL)


### Arguments

 basis1 basis object from the fda package. basis2 an optional second basis rng range (of times) spanned by the basis

### Value

Matrix of inner products of each pair of centered basis functions.

### Author(s)

Biplab Paul <paul.biplab497@gmail.com> and Philip Tzvi Reiss <reiss@stat.haifa.ac.il>

create.bspline.basis from package fda, for the most commonly used basis object type.

### Examples



require(fda)
basis8 <- create.bspline.basis(nbasis=8)
inprod.cent(basis8)



[Package ctmva version 1.1.0 Index]