POLYNOMIAL FACTORIZATION VIA THE RICCATI EQUATION.
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Clements, David J.
Anderson, Brian
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The problem of factoring a real polynomial f(z), nonzero on the unit circle, as the product of two polynomials u(z) and v(z) with zeros inside and outside the unit circle is tackled. The individual zeros of f(z) are not found. Riccati difference equations are shown to provide a tool for executing the factorization.
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SIAM Journal on Applied Mathematics
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