Bibliography for Lin-Bairstow Method

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  1. Basin boundaries and focal points in a map coming from Bairstow's method.   
    Gardini, Laura; Bischi, Gian-Italo; Fournier-Prunaret, Daniele     
    Chaos 9 (1999), no. 2, 367--380, MathSciNet.  
  2. Basin boundaries and focal points in a map coming from Bairstow's method
    Laura Gardini, Gian-Italo Bischi, and Daniele Fournier-Prunaret
    Chaos: An Interdisciplinary Journal of Nonlinear Science Vol 9(2) pp. 367-380. June 1999  
  3. Characterization of basin boundaries in Bairstow's iterative methods.    
    Gardini, Laura; Bischi, Gian-Italo; Fournier-Prunaret, Daniele    
    European Conference on Iteration Theory (Muszyna-Zockie, 1998). Ann. Math. Sil. No. 13 (1999), 119--130, MathSciNet.  
  4. Third-order modifications of Bairstow's method.    
    Brutman, L.; Nowominski, N.    
    Commun. Appl. Anal. 1 (1997), no. 4, 479--487, MathSciNet.  
  5. Finding roots of a real polynomial simultaneously by means of Bairstow's method.    
    Luk, W. S.    
    BIT 36 (1996), no. 2, 302--308.
  6. Use Lin-Bairstow method to determine Hopf bifurcation points.    
    Liu, Chun Lei    
    Natur. Sci. J. Xiangtan Univ. 15 (1993), suppl., 226--236, MathSciNet.  
  7. On a generalization of Bairstow's method. Numerical methods   
    Krebsz, Anna    
    (Miskolc, 1986), 533--538, Colloq. Math. Soc. János Bolyai, 50, North-Holland, Amsterdam, 1988, MathSciNet.  
  8. On the convergence and divergence of Bairstow's method.    
    Fiala, Tibor; Krebsz, Anna    
    Numer. Math. 50 (1987), no. 4, 477--482, MathSciNet.  
  9. Complex Roots: The Bairstow-Hitchcock Method  
    Clark Kimberling  
    The Mathematics Teacher, Vol. 79, No. 4, (April, 1986), pp. 278-282.  
  10. Geometric interpretation of convergence conditions for the Bairstow method. (Italian)    
    Liverani, Antonio    
    Istit. Lombardo Accad. Sci. Lett. Rend. A 117 (1983), 181--198 (1986), MathSciNet.  
  11. Stabilizing Bairstow's method.    
    Alt, R.; Vignes, J.    
    Comput. Math. Appl. 8 (1982), no. 5, 379--387, MathSciNet.  
  12. Remarks on the convergence of the Bairstow method. (Hungarian)    
    Varga, Gyula    
    Alkalmaz. Mat. Lapok 7 (1981), no. 1-2, 181--183, MathSciNet.  
  13. The generalized Bairstow method. (Polish)    
    Bartlomiejczyk, Ryszard    
    Zeszyty Nauk. Politech. Slpolhkask. Mat.-Fiz. No. 35 (1979), 117--129, MathSciNet.  
  14. Nonconvergence in Bairstow's Method     
    David W. Boyd     
    SIAM Journal on Numerical Analysis, Vol. 14, No. 3. (Jun., 1977), pp. 571-574., Jstor.  
  15. On Bairstow's Method for the Solution of Polynomial Equations     
    Kenneth W. Brodlie     
    Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp. 816-826., Jstor.  
  16. A Modified Bairstow Method for Multiple Zeros of a Polynomial     
    F. M. Carrano     
    Mathematics of Computation, Vol. 27, No. 124. (Oct., 1973), pp. 781-792., Jstor.  
  17. The geometric method and a generalized Bairstow method for numerical solution of polynomial equation.  
    Shinohara, Yoshitane    
    J. Math. Tokushima Univ. 4 (1970), 19--32, MathSciNet.  
  18. Some remarks on Bairstow's method.    
    Wozniakowski, H.    
    Zastos. Mat. 11 1969/1970 207--214, MathSciNet.  
  19. The Geometric Method and a Generalized Bairstow Method for Numerical Solution of Polynomial Equation
    Shinohara, Y.
    Journal of Mathematics, The University of Tokushima Vol. 4 (1970)
  20. Accorgimenti pratici per la utilizzazione del metodo di Bairstow. (Italian)    
    Grassini, Elena    
    Atti Sem. Mat. Fis. Univ. Modena 17 1968 160--171, MathSciNet.  
  21. A generalized Bairstow algorithm.    
    Golub, G. H.; Robertson, T. N.    
    Comm. ACM 10 1967 371--373, MathSciNet.  
  22. On the generalisation of Bairstow's method. Nordisk Tidskr.    
    Birtwistle, G. M.; Evans, D. J.    
    Informationsbehandling (BIT) 7 1967 175--190, MathSciNet.  
  23. Sur les singularités relaitves à la méthode de Bairstow classique ou généralisée. (French)    
    Dussaud, René    
    C. R. Acad. Sci. Paris 260 1965 5449--5452, MathSciNet.  
  24. Sur une généralisation de la méthode de Bairstow. (French)    
    Dussaud, René    
    C. R. Acad. Sci. Paris 258 1964 4907--4909, MathSciNet.  
  25. A. A. Grau     
    A Generalization of the Bairstow Process     
    Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 2. (Jun., 1963), pp. 508-519, Jstor.  
  26. A generalization of the Bairstow process.    
    Grau, A. A.    
    J. Soc. Indust. Appl. Math. 11 1963 508--519, MathSciNet.  
  27. Some extensions of Bairstow's method. (German)   
    Zurmühl, R. Zur Arbeit Herbert E. Salzer     
    Numer. Math. 3 1961 320, MathSciNet.  
  28. On a generalization of Bairstow's formula. (Russian)
    Panov, D. Yu.    
    Akad. Nauk SSSR. Prikl. Mat. Meh. 13, (1949) 331--332, MathSciNet.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004