Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (4)
- Authors
- Shmoylov, Vladimir I.; Kirichenko, Gennadiy A.
- Contact information
- Shmoylov, Vladimir I.:Southern Scientific Center of RAS Chehova, 41, Rostov-on-Don, 344006 Russia; ; Kirichenko, Gennadiy A.:Southern Federal University, ITA Nekrasovsky, 44, Taganrog, Rostov region, 347928 Russia;
- Keywords
- algebraic equation; infinite Toeplitz determinant; r/'-algorithm; diverging continuous frac- tions
- Abstract
Analytical expressions representing all the roots of a random algebraic equation of n-th degree in terms of the equation coefficients are presented in the paper. These formulas consist of two ratios of infi- nite Toeplitz determinants. The diagonal elements of the determinants are the coefficients of algebraic equations. To find complex roots the method of summation of divergent continued fractions is used
- Pages
- 533–547
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/16500
Journal of Siberian Federal University. Mathematics & Physics / The Solution of Algebraic Equations of Continuous Fractions of Nikiports
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