jacobi.matrices: Create list of Jacobi matrices from monic recurrence...

Description Usage Arguments Value Author(s) References Examples

View source: R/jacobi.matrices.R

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

1

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, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992. Numerical Recipes in C, Cambridge University Press, Cambridge, U.K.

Examples

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3

orthopolynom documentation built on May 2, 2019, 3:22 a.m.