Bibliography for Laguerre's Method

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  1. Remarks on Kepler's Equation  
    A. J. Sakaji  
    Electronic Journal of Theoretical Physics, Volume 1, Issue 1, June 2004, 15-33.  
  2. Laguerre-like inclusion method for polynomial zeros
    Petkovic, Miodrag S.
    Journal of Computational and Applied Mathematics, v 152, n 1-2, Mar 1, 2003, p 451-465, Compendex.
  3. The Guaranteed Convergence of Laguerre-Like Method
    Petkovic, M.; Petkovic, L.; Ilic, S.
    Computers and Mathematics with Applications, v 46, n 2-3, July/August, 2003, p 239-251, Compendex.
  4. Laguerre-like methods for the simultaneous approximation of polynomial zeros.
    Petkovi'c, M. S.; Petkovi'c, L.;  Zivkovi'c, D.
    Topics in numerical analysis, 189--209, Comput. Suppl., 15, Springer, Vienna, 2001, MathSciNet.  
  5. Interval root-finding methods of Laguerre's type.
    Petkovi'c, L. D.; Petkovi'c, M. S.;  Zivkovi'c, D.
    Inclusion methods for nonlinear problems with applications in engineering, economics and physics (Munich, 2000), 199--211, Comput. Suppl., 16, Springer, Vienna, 2003, MathSciNet.  
  6. Numerical inversion of multidimensional Laplace transforms by the Laguerre method
    Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward
    Performance Evaluation, v 31, n 3-4, Jan, 1998, p 229-243, Compendex.
  7. Improving Laguerre's method to cope with symmetry pitfalls in polynomial root-finding.
    Chen, Tien Chi
    Proceedings of the Eighth International Colloquium on Differential Equations (Plovdiv, 1997), 105--110, VSP, Utrecht, 1998, MathSciNet.  
  8. The Quasi-Laguerre Iteration  
    Qiang Du; Ming Jin; T. Y. Li; Z. Zeng  
    Journal: Math. Comp. 66 (1997), 345-361.
  9. FORTRAN program for numerical solution of the Altarelli-Parisi equations by the Laguerre method
    Kumano, S.; Londergan, J.T.
    Computer Physics Communications, v 69, n 2-3, Mar-Apr, 1992, p 373-396, Compendex.
  10. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed.  
    Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.
    Cambridge, England: Cambridge University Press, pp. 365-366, 1992.
  11. A note on Laguerre's iteration method. (Chinese)
    Li, Chun Guang; Liu, Ren Li
    Sichuan Shifan Daxue Xuebao Ziran Kexue Ban 14 (1991), no. 2, 78, 102, MathSciNet.  
  12. Laguerre's iteration and the method of traces for eigenproblems.
    Lenard, Christopher T.
    Appl. Math. Lett. 3 (1990), no. 3, 73--74, MathSciNet.  
  13. The Laguerre method for finding the zeros of polynomials.
    Orchard, H. J.
    IEEE Trans. Circuits and Systems 36 (1989), no. 11, 1377--1381, MathSciNet.  
  14. A hybrid Laguerre method.
    Leuze, Michael R.
    BIT 23 (1983), no. 1, 132--138, MathSciNet.  
  15. Generalizations of Laguerre's Method: Higher Order Methods  
    Leslie V. Foster  
    SIAM Journal on Numerical Analysis, Vol. 18, No. 6. (Dec., 1981), pp. 1004-1018, Jstor.  
  16. Some modifications of Laguerre's method.
    Hansen, E.; Patrick, M.; Rusnak, J.
    Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 4, 409--417, MathSciNet.  
  17. On Laguerre's method.
    Redish, K. A.
    Internat. J. Math. Ed. Sci. Tech. 5 (1974), no. 1, 91--102, MathSciNet.  
  18. LR algorithm with Laguerre shift for symmetric tridiagonal matrices  
    J. Grad and E. Zakrajsek
    The Computer Journal, Volume 15, Issue 3, 1972, pp. 268-270.
  19. Laguerre's Method and a Circle Which Contains at Least One Zero of a Polynomial  
    W. Kahan  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 3. (Sep., 1967), pp. 474-482, Jstor.  
  20. A Stopping Criterion for Polynomial Root Finding
    Adams, D. A.
    Comm. ACM 10, 655-658, 1967.
  21. A First Course in Numerical Analysis, Section 8.10-4 Laguerre's Method  
    Anthony Ralston
    McGraw-Hill, New York,1965.
  22. Laguerre's Method Applied to the Matrix Eigenvalue Problem  
    Beresford Parlett  
    Mathematics of Computation, Vol. 18, No. 87. (Jul., 1964), pp. 464-485, Jstor.  
  23. On the Laguerre Method for Separating the Roots of Algebraic Equations  
    Stephen Kulik  
    Proceedings of the American Mathematical Society, Vol. 8, No. 5. (Oct., 1957), pp. 841-843, Jstor.  
  24. Extensions of Descartes' Rule of Signs Connected with a Problem Suggested by Laguerre  
    D. R. Curtiss  
    Transactions of the American Mathematical Society, Vol. 16, No. 3. (Jul., 1915), pp. 350-360, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005