Representations and Bounds for Zeros of Orthogonal Polynomials and Eigenvalues of Sign-Symmetric Tri-diagonal Matrices
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چکیده
where P ,(.\-) = 0, P,,(.\-) = I. So without loss of generality MC can take the simpler recurrence formula ( I .2), where c’,, is real and i,, , :> 0 (,I > 0). ;I\ ;I starting point for our analysis. Note that the value ol’ i, i4 irrelevant: it bill bc convenient. however. to assume i , = I. It is well known (see [3]) that P,,(.\) has II real. distinct /eras I,,, c Y,~’ < < I,,,,. Moreover. the Leros of I’,,(.\-) and P ,I , ,(.\-I interlace. that IS.
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تاریخ انتشار 2003