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Розв’язування алгебраїчних рівнянь безперервними дробами
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UDC: 517.524
Publication Language: Russian
Stuc. intelekt. 2011; 16(1):260-270
Abstract: There are given analytic expressions introducing all roots of arbitrary algebraic n-th equation using coefficients of initial equation. These formulas consist of two proportions of Toeplitz infinite determinants with algebraic equation coefficients as diagonal elements. To calculate Toeplitz determination ratio Rutishauser’s modified algorithm is used. For complex roots determination method of divergent continued fractions summability is used.
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