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 list of symmetric, tri-diagnonal matrices
1 |
a |
2 |
a |
...
n |
an |
Frederick Novomestky fnovomes@poly.edu
Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992. Numerical Recipes in C, Cambridge University Press, Cambridge, U.K.
r <- chebyshev.t.recurrences( 5 )
m.r <- monic.polynomial.recurrences( r )
j.m <- jacobi.matrices( m.r )