jacobi.matrices {orthopolynom}R Documentation

Create list of Jacobi matrices from monic recurrence parameters

Description

Return a list of $n$ real symmetric, tri-diagonal matrices which are the principal minors of the n times n Jacobi matrix derived from the monic recurrence parameters, $a$ and $b$, for orthogonal polynomials.

Usage

jacobi.matrices(r)

Arguments

r a data frame containing the parameters $a$ and $b$

Value

A list of symmetric, tri-diagnonal matrices

1 a 1 times 1 matrix
2 a 2 times 2 matrix
n an n times n matrix

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Press, et. al. (1992)

Examples

r <- chebyshev.t.recurrences( 5 )
m.r <- monic.polynomial.recurrences( r )
j.m <- jacobi.matrices( m.r )

[Package orthopolynom version 1.0-1 Index]