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numeric::gtdata -- weights and abscissae of Gauss-Tschebyscheff quadrature

Introduction

numeric::gtdata(n) returns the weights and the abscissae of the Gauss-Tschebyscheff quadrature rule with n nodes.

Call(s)

numeric::gtdata(n)

Parameters

n - the number of nodes: a positive integer

Returns

A list [b,c] is returned. The lists b=[b[1],..,b[n]] and c=[c[1],..,c[n]] are the exact weights and abscissae of the Gauss-Tschebyscheff quadrature rule, respectively.

Side Effects

The function uses option remember. It is not sensitive to the environment variable DIGITS.

Related Functions

numeric::gldata, numeric::ncdata, numeric::quadrature

Details

Example 1

The following call produces exact data for the quadrature rule with two nodes:

>> numeric::gtdata(2)
        -- --     1/2      1/2 --  --  1/2               1/2 -- --
        |  |  PI 2     PI 2     |  |  2                 2     |  |
        |  |  -------, -------  |, |  ---- + 1/2, 1/2 - ----  |  |
        -- --    8        8    --  --  4                 4   -- --

Background

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