jacobi.matrices {orthopolynom} | R Documentation |
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.
jacobi.matrices(r)
r |
a data frame containing the parameters $a$ and $b$ |
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 |
Frederick Novomestky fnovomes@poly.edu
Press, et. al. (1992)
r <- chebyshev.t.recurrences( 5 ) m.r <- monic.polynomial.recurrences( r ) j.m <- jacobi.matrices( m.r )