ZEAL is a general purpose package for computing zeros of analytic functions. It can be used in various physical applications. More precisely, given a rectangular region W in the complex plane and an analytic function f : W -> C, such that no zero of f lies on the boundary of W, ZEAL calculates all the zeros of f that lie inside W, together with their respective multiplicities. (Source: http://cpc.cs.qub.ac.uk/summaries/)

References in zbMATH (referenced in 16 articles , 1 standard article )

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  1. Chen, Haotian: On locating the zeros and poles of a meromorphic function (2022)
  2. Michalski, K. A.; Mustafa, M. M.: On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets (2018)
  3. Güttel, Stefan; Tisseur, Françoise: The nonlinear eigenvalue problem (2017)
  4. Bruneel, H.; Rogiest, Wouter; Walraevens, J.; Wittevrongel, S.: Analysis of a discrete-time queue with general independent arrivals, general service demands and fixed service capacity (2015)
  5. Turnbull, H. W. (ed.): The correspondence of Isaac Newton. Volume II: 1676--1687 (2008)
  6. Gillan, C. J.; Schuchinsky, A.; Spence, I.: Computing zeros of analytic functions in the complex plane without using derivatives (2006)
  7. Clements, Richard R.; Hughes, Roger L.: Mathematical modelling of a mediaeval battle: The Battle of Agincourt, 1415. (2004)
  8. Gallo, Ciro: Data protection and biomedical research (2003)
  9. Kravanja, P.; Sakurai, T.; Van Barel, M.: Error analysis of a derivative-free algorithm for computing zeros of holomorphic functions (2003)
  10. Sakurai, Tetsuya; Kravanja, Peter; Sugiura, Hiroshi; Van Barel, Marc: An error analysis of two related quadrature methods for computing zeros of analytic functions. (2003)
  11. Plagianakos, V. P.; Nousis, N. K.; Vrahatis, M. N.: Locating and computing in parallel all the simple roots of special functions using PVM (2001)
  12. Kravanja, P.; Van Barel, M.; Ragos, O.; Vrahatis, M. N.; Zafiropoulos, F. A.: ZEAL: A mathematical software package for computing zeros of analytic functions (2000)
  13. Kangshen, Shen; Crossley, John N.; Lun, Anthony W.-C.: The nine chapters on the mathematical art. Companion and commentary (1999)
  14. Kravanja, P.; Van Barel, M.: A derivative-free algorithm for computing zeros of analytic functions (1999)
  15. Cochell, Gary G.: The early history of the Cornell Mathematics Department: A case study in the emergence of the American mathematical research community (1998)
  16. Corinaldesi, Ernesto: Classical mechanics for physics graduate students (1998)