Let Q0(x), Q1(x), ... be an orthonormal sequence of polynomials, that is, it is an orthogonal sequence
Question:
(a) How can the recursion relation in Theorem 5.7.2 be simplified in the case of an orthonormal sequence of polynomials?
(b) Let A be a root of Qn. Show that λ must satisfy the matrix equation
where the ai's and βj's are the coefficients from the recursion equations.
Transcribed Image Text:
βι αι αι β2 α2 Qo(a) Qi() Qo(l) 010) e-2(a) Q-1(a) @n_2 ßn-1 αη-| | | Qn-2(A) βη 12.-1(A) j @n-1
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a If Q j 1 for each j then in the recursion relation we will have and hence the ...View the full answer
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