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Simultaneous Determination of all the Zeros of Chebyshev Polynomial.
Nazir Ahmad Mir, Zahida Akram
Centre for Advanced Studies in Pure & Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
Abstract: An algorithm based on modified imporved Ehrlich method is developed which finds simultaneously all the zeros of Chebyshey ploynomials of the first and second kind, the Chebyshev polynomials are generated by a three term recurrence relation. The only information required is degree of the polynomial. The same algorithm works for finding simultaneously all zeros of real plynomials requiring information about its degree and coefficients.
Keywords: Zeros, Polynomials, Generalised Basis, Simultaneous Methods